Calculus Expert Answers & Study Resources : Page 131

Can someone help me out? Thank you, I rate well. A college survey claimed that 62% of students took English composition, 45% took calculus, 15% took both, and 12% took neither. Show that these figures cannot be correct. The real percentage that took neither class is 8,.

Consider Maxwell%u2019s equations of electrodynamics where units have been chosen s.t. the speed of light c = 1. These equations, resulting from many years of experimental and theoretical investigation by Ampere, Faraday, Gauss, Maxwell and others, relate the interconnectivity of electricity.

Consider an affine transformation: T(x)=Ax+b Where A is an nxn matrix and b is a vector in Rn. Suppose that 1 is not an eigenvalue of A. a. Find the vector v in Rn s.t. T(v)=v; this vector is caled the.

*Consider projections of this soace onto a finite dimensional space. What does that tell you about projection of any basis? Is there any limit to the dimension of such a projection?* Prove that R^infinite (the vector space of infinite sequences of real numbers) is an infinite dimensional.

Compare the errors in the Midpoint and Trapezoid Rules with n = 4, 8, and 16 subintervals when they are applied to the following integral (with their exact values given). _0^1(8x^7 - 7x^8)dx=2/9.

consider an iteration function F(x)=x+f(x)g(x) where f(r)=0 and f prime r doesn' t equal 0.Find the precise conditions on the function g(x) so that the method of functional iteration converge cubically to r if started near r.

Combining rules Compute the derivative of the following function. H(x) = (x+1)/x2ex.

Consider f(x) = Is f continuous at x = 0? (justify) Find the value of k such that exists. For that value(s) of k, what type of discontinuity is x = 0? For any other value of k, what type of discontinuity is x = 0?.

Can someone show me how to do this equation? I know what the answer is, but wolfram alpha is not showing me enough work. I want to know how to do this dy/dx = (y 1)^2 + 0.04, y(0)=1 This is a separable DE,.

Consider the differential equations below an classify each according to its order and linearity. y'(x) + exy(x) = 0 y'(x) + xexcos(y(x)) = 0 y'(x) + y'(x) + x2y(x) = 0 x2y"(x) + xy'(x) + (x2 - y2)y(x) = 0 y(100)(x) - y'(x) = 0 [y'(x)]2 +.

Chapter 13, Section 13.6, Question 077 A particle moves along a path C given by the equations X = t and y = -t^2. If z = 3x^2 + 2y^2 , find dz/ds along C at the instant when the particle is at the point (6, -36). dz/ds = .

An ant colony has 200 ants at time t = 0, and is growing at a rate of P'(t) ants per day. (a) What does 200 + integral_0^10 P'(t) dt represent? (b) What does integral_10^12 P'(t) dt represent?  .

Combining rules Compute the derivative of the following function h(x) = (x + 1)/x2 ex.

Compute the limit lim_x rightarrow 0 sin (x - sin(x))/x^3.

Code in MATLAB to get points award only: Write MATLAB code for the Simpson Rule using the function: f(x) = 2sin(x)cos(x), evaluating the integral between 0 and pi/2. Iterate until achieve a relative error of 10 (-8). Do the Script procedure following: The resulting integral. The final relative error in.

An airplane travelling at a height of 3000 feet crosses directly over an observer. The speed of the plane is 400 ft/sec. Using implicit differentiation, how fast is the distance between the observer and the plane changing after 10 seconds. Please show your work..

Consider a tank used in certain experiments. After one experiment the tank contains 250 liters of a dye solution with a concentration of 3 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred.

Compute the following limit. Use INF to denote inf and MINF to denote -inf \(\lim_{x \rightarrow \infty} (x)/(\int_{x}^{x^{2}}3\sqrt{216} -7t^{3}) dt\).

Compute r (t) when r(t) = (t^9,3t, cos t)..

Consider f:(0,2)->R defined by f(x) =x ?. Assume f has a limit at 0. Find it..

Consider the differential equation dy/dt = ay - b. Find the equilibrium solution y_e. y_e(t) =.

Consider each subset S of the metric space M. Is S open? Is S closed? Determine int(S). Briefly justify each answer. M = R2; S = {(x, y) | x2 + y2 < 1 } - {(x, 0)| x R-Q} M = R2; S = {(x, y) | max{| x.

Consider the differential equation (dy/dx)=y^3(2x+3x^2) a)find the general solution; leave it in implicit form b) for the arbitrary constant C in your solution, find the value of C corresponding to the Initial Conditions i) y(1)=1 ii) Y(-1)=1 iii) y(0)=3 .

Compute the integral: (x2 + 5) dx =.

Car A is traveling north on Highway 16 and car B is traveling west on Highway 83. Each car is approaching the intersection of these highways. At a certain moment, car A is 88 km from the intersection and traveling at 75 km/h while car B is 66 km from.

Consider the convergent series (a)Find an upper bound for the remainder in terms of n (b)Find how many terms are needed to ensure that the remainer is less than 10^-3 (c)Find lower and upper bounds on the exact values of the.

Compute the integral by rewriting the integrand: 1/x8 dx =.

Compute the 9th derivative of f(x) = arctan(x^3/6) At x= 0. f9(0) = Hint: Use the MacLaurin series for f(x)..

Compute the renewal type equation for E[A(t)B(t}], where A(t) (B(t)) is the age (excess/residual life) at time t in a renewal process. Show that the key renewal theorem is applicable and compute the limiting value of E[A(t)B(t}] as t goes to infinity, assuming that the renewal process is aperiodic. Using.

Carlos is blowing air into a soap bubble at the rate of 7 cm3/sec. Assuming that the bubble is spherical, how fast is its radius changing at the instant of time when the radius is 10 cm? (Round your answer to four decimal places.) cm/sec How fast is the surface.

Compute the limit as (x,y) rightarrow (0,0) along the x-axis for : 5x3 + 5y3/x2 + y2 Compute the limit as (x,y) rightarrow (0,0) along the line y = x for : 5x3 + 5y3/x2 + y2 Switching to polar coordinates may help solve this limit. Express f(x,y) = 5x3.

Consider the equation Y' + p(x)y = f(x) mu(x) = exp (int p(x) dx) y = yc + yp yc yc(x) = Cmu(x)-1 = C exp (- int p(x)dx) where C is an arbitrary constant yp yp(x) = mu(x)-1 int mu(x) f(x) dx cos2(x) sin(x)y' + cos3(x).

Compute the following integrtals with regards to real analysis, local integrability, and riemann integrability. A.)       \(h(x)= x^{-\alpha} \text{ on the interval } [1,\infty)\) also are there any restrictions on alpha B.)       \(g(x)= \frac{1}{x}\ln(x)\text{ on the interval }[1,\infty)\)  .

Consider the equation ay? + by? + cy = 0, where a, b, and c are real constants with a > 0. Find conditions on a, b, and c such that the roots of the characteristic equation are: real, different, and negative, real with opposite signs, real, different, and positive,.

Compute the derivative. f (x) x2 ex x.

Compute the work W required to compress a spring 13 cm more when it is already compressed 5 cm, assuming that the spring constant is k = 140 N/m..

Compute the indefinite integral of the following function. r(t) = Select the correct answer below and fill in the answer boxes to complete your choice..

Class work with a partner, find the derivative of each function. Simplify your answer f possible. 30 5v.+2 3) T(v).

Consider the equation (3xy+y^2)dx+(x^2 +xy)dy=0 (a) Show that this equation is not exact. (b) Show that this equation can be made exact by multiplying it by a non-zero function and find this function. Note: there is a similar example in the textbook. .

Compute the derivative of f (x) x/5x + sin (3x).

compute the Laplace transform using the Laplace integral x(t)=3e^(-2t)[u(t+1)-u(t-2)].

Consider the curve defined by the equation y=3x^2+1x. Set up an integral that represents the length of curve from the point (1,2) to the point (2,14)..

can someoneplease show me how to convert negative years to negative minutes? i tried but i just can t get it right, please show me your calulations :) thank you show me how to convert negative years to negative minutes? = 1.209 times 10-4y-1.

Consider the Conservation of Linear Momentum Equations with respect to the body axes X,Y,Z: ' denotes first time derivative m(U'+QW-RV)=mgx+(FAx + FTx) m(V'+UR-PW)=mgy+(FAy + FTy) m(W'+PV-QW)=mgz+(FAz + FTz) Rewrite the above equations under the following.

Compute the appropriate C_b values for the W24 times 117 beam shown above. Use Table 3 - 1 on Page 3 - 18 of the AISC LRFD manual. Show the C_b values on the C_b axis above. What does C_b account for? Calculate the capacity of the W24 times 117.

compute the line integral over C of x^2(dx)+y(dy) where C is the piece of parabola x=y^2+1 from (1,0) to (10,-3)..

Compare and contrast how disputes should be resolved in Integrated Project Delivery and Lean Production Management and how they are resolved in traditional project delivery approaches? Can Someone explain and answer this question please..

Consider a system consisting of three components as pictured. The system will continue to function as long as the first component functions and either component 2 or component 3 functions. Let X_1, X_2, and X_3 denote the lifetimes of components 1, 2, and 3, respectively. Suppose the X_i' s are.

Can someone answer number one ? Show all of your work for full or partial credit. Label units if nece preferred. This quiz is worth 30 points 1. What is the order of d2 y 5 y 13 dx2 2. Does the function y(t)--8t satisfy the differential.

Compute the improper integral: 2 to infinity (1/((7x-2)^2))dx.