1. Find the second derivative of the parametric equations x = a cos t and y = b sin t 2. Use second order derivative to derive the acceleration, a for an object that falls where its movement is described by s = V,t + gt? %3D

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A:

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

A:

Q: даду

A:

Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

A:

Q: x* dy

A:

Q: 15. The graph of f(x) is shown below. Use it to evaluate S(x)dx Area7 Area4

A:

Q: I". A.use tue Fundumenta Theole to evaluate XP (I-xh? S gruph of 1- B. The P.cture below shows a…

A:

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A:

Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

A:

Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

A:

Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: (24) Evaluate the integral: / Va sin(1+x/²)dx. (25) Find the equation of the normal line to the…

A: Use equation of normal line

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

A:

Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: Completely factor the polynomial f(x) = x +7x? + 10x.

A:

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

A: In this question, we want to calculate the area of the region under the given curve y between x=-1…

Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: 8 What is the range of y=4sin A [-2,6] B [-6, -2] © [-6, 2] D [2, 6]

A:

Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

A:

Q: MY NOTE A projectile is shot upward from the surface of Earth with an Initial velocity of 140 meters…

A:

Q: In da V3+(In a) Evaluate: A. V5 - V2 B. V1+ e2 - 1+e C. V3+ ve D. V7– 2 E. NO correct choices.

A:

Q: Find f/(x). If f(x) = tan-1x? .2 %3!

A:

Q: PROBLEM 11: 0, 0 6. a) Write the function in terms of the unit step function ua (t). b) Use the…

A:

Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

A:

Q: Use the series to evaluate the limit 1 tan- y – siny lim y→0 y3cosy

A:

Q: Consider the vector-valued function Ř(t) with R'(t) = (sec²(t – 1), , -2). (a) Find Ř(t) given Ř(1)…

A:

Q: Find the maximum and minimum values of the function f(x, y) subject to a + y* = 54 Maximum value:…

A:

Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A:

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 3x…

A:

Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

A:

Q: (h – 2) - 4 (i) lim 2h

A:

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

A:

Q: (21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a…

A:

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2)

A:

Q: QI) Use Taylor series method to comp ute x(0.2) and given that d'x xdx _4x =0 ,x(0)=1, (0) = 2 dt dt…

A: Taylor Series is given byf(x) = f(a) + (x-a)1!f'(a) + (x-a)22!f''(a) + .....i.e. f(x) ≈ f(a) +…

Q: rcos(z) d Find the derivative: dx V1 – t2dt

A:

Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A:

Q: Let f(x)=x+2 A Find the linear approximation of f at =7 In other words, find the tangent line to the…

A: This question can be solved using the concept of linear approximation of a function about a point.

Q: rcos(z) d (32) Find the derivative: dx V1- t?dt 1

A:

Q: Evaluate the following limit. 9. 5 +h lim h 0 Rewrite the given limit in a way that can be evaluated…

A:

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Natural length = 2 x1=2-1.5=0.5x2=2-1=1

Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

A:

Q: lim (1+ X00

A:

Q: 0 1 7) [ [ysin x dxdy -1 -y

A:

Q: D9/2.c

A:

Q: Find the Indefinite Integral. (Remember to use absolute values where appropriate. Use C for the…

A: The integration of the integral is  (2x2+3x-6)/(x-4).