Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

Q: The following telescoping series 00 1 Σ- en+1 – en+2 n=1 converges to Ve the above none of them…

A:

Q: e?y - dy (ve)" – 1

A:

Q: Let 7 (t) = %3D Find F'(t) F(t) - « Question Help: D Video Add Work Submit Question

A:

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to…

A: For the arc y = x2 and the range of x from 0 to 1. So, dy = 2x dx. Now,…

Q: e2y dy Solve using algebraic substitution Tey-i

A:

Q: Exercises Distinct Real Roots of Auxiliary Equ d the general solution 1. (D² – 9)y = 0 5. (D² – 1)y…

A: Topic:- application of integration

Q: Find the derivative of y=x^(7sinx). (x>0).

A:

Q: y" + 2y' + 5y = 4e¬t cos 2t, y(0) = 1, y'(0) = 0

A: Given:       y''+2· y'+5· y=4 e-t cos2t      y0 =1   ,    y'0=0

Q: Find the critical points of the parametric equations x = 5 – Int y = t+ Int

A:

Q: Find the general solution of y’= y sec x.       y = c ( sec x – tan x ) y = c ( sec x + tan x ) y =…

A:

Q: d 10.(4* tan x) dx

A: Find the derivative

Q: (y – cos?x)dx + cosxdy = 0 %3D

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 6) Radius:…

A:

Q: Total cost from marginal cost. Shelly's Roadside Fruit has found that the marginal cost of producing…

A:

Q: 1. S sin x cos 3x dx.

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y2…

A:

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A:

Q: Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: ction f has the following graph: -1 4. of the following is an infinite limit? m f(r) +0+ f(x) m f(z)…

A: Topic:- limit calculus

Q: 7. S x4 sec (x5 - 9) dx 8. S tan 3 x dx

A: Question 7 and question 8 are solved.

Q: To earn an A in a course, a boy must have a final average of at least 84%. On the first four…

A:

Q: Using the Nth term test for divergence 5 1 n=1_2n +14 5 diverges since lim is equal to 1 2n+14 O 1/3…

A: We can answer the question as below.

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: t cos t?dt can best be evaluated by: A None B Trigonometric Transformation Integration by Parts…

A:

Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

A:

Q: Find '(t) F'(t) ► <[

A:

Q: Find div F and curl F if F(x,y, z) = x°i – 2j + yzk. div F= curl F=

A:

Q: Find dy/dx for the following a. e2y+x3=y b. In(3xy) = x+x⁵

A:

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A:

Q: f(x) = x- 3, g(x) = x2 Find (f+ g)(x). (f + g)(x) %3D Find the domain of (f+ g)(x). (Enter your…

A: Topic:- function

Q: cos(x) sin (x) dx 2 COS V1+ sin(x)

A: ∫cos(x) sin2(x)1+sin(x)dx

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = eti+ etj K(t) :

A: Given r(t)=e5t i + e-t j

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A:

Q: given poim arctan(2) f(x, y) = arctan (4, -4) f(X, y) = x, ) = (4, -4) = (4,-4) =

A:

Q: Find V · (V × F) if F(x, y, z) = 9 sin xi + cos(6x – 7y)j+ 4zk. - V · (V × F) =

A:

Q: O f(-1) = 3, lim f(x) = 3, lim f(x) = +∞ O f(-1) = 3, lim f(x) = -o∞, lim f(x) = +o0 O f(-1) = 1,…

A:

Q: Evaluate the integral (12x + 12y)dx + (9x-y)dy along the parabolic arc y = x from (0,0) to (1,1).…

A:

Q: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 3…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where o sts 1. (y – x) dx +…

A:

Q: The following table gives the sunrise and sunset times for various dates of the year in Lincroft,…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: Let 7(t) = < 4t° – 4, – 2e*, – 3 sin( – 5t) Find )dt (don't include the +C)

A:

Q: Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat…

A: Solved below

Q: Without evaluating the constants, the partial fraction decomposition of 7x3 – 11 (4x3 + 7x2 +…

A:

Q: Find curl (6z i + 7x j+ 9y k). curl(6z i + 7x j + 9y k) = ( i )i + ( i )j + ( )k

A: Explanation of the answer is as follows

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

A:

Q: Find V · (V × F), if F(x, y, z) = 5e²i+ 5xe®j– 7ev²k. %3D V ·(V × F) =

A: We know divergence of curl of any vector v is always zero.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Find the area bounded by the indicated curves. x = 2y2 - 1, x = y2 + 8 For visualization, input the…

A: Topic:- application of integration

Q: Describe the domain and range of the function. f(x, y) = 3x2 – y Domain: O (x, y): x = 0, y = o…

A: