22-1+9 22+5x2-3z

Q: Let u = x + 7y and v = x - y. Subtracting v= x - y from u = x + 7y, we get y = Adding u =x + 7y and…

A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

Q: ydy can best be evaluated by algebraic substitution. A) True B) False

A: We have to solve above question and find true or false

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

A:

Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: 7 Does the series 2 converge or diverge? n= 1 Choose the correct answer below. O A. The series…

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

A:

Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: x*dx Using trigonometric substitution, (1+x²) 3 tan ode A sece sin ode B coso tan ode sec20 sec 9d0…

A:

Q: Evaluate the integral. 4 S(5x+ ) dx (5x + Vx) dx 1 4 |(5x + Vx) dx =D %3D 1 (Type an exact answer.)

A: We want to integrate the given function.

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: We need to predict population.

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: 3 dy Зу =-sin -1 +C 4- 9y2 3 A True False B.

A: The given integral is 3/sqrt(4-9y2).

Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of…

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Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol o for…

A: Given: limx→∞ln(x)x7

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A:

Q: If lim = 8, find each of the following limits. (a) lim f(x) f(x) (b) lim X 0 X

A: given  limx→0 f(x)x2=8

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

A:

Q: Evaluate the line integral -ydx + dy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: The differential equation (xy2 + y)dy = (x+1)dx is separable. %3D

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Q: Problem 3 Find a power series representation for the function and determine its radius of…

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Q: Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

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Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

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Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

A:

Q: If c is a critical number of function , and if f" (c) < 0, then which of the following statements is…

A: To solve the following problem

Q: 3 dy – sin-! 3y -12+C %3D sin-1. 4- 9y 3

A:

Q: (D² +6D+9)y=e³* 3x

A:

Q: Suppose that f(x) is a differentiable function satisfying the data in the table below on the…

A: Left -hand approximationa=4 , b=12  ,n=4∆x=b-an∆x=12-44=84=2Subintervals are 4,6,6,8 , 8,10 ,…

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: Given the vector function ř(t) = (– 3t, 5t°, 2t° + 3) Find the velocity and acceleration vectors at…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: A candy box is made from a piece of cardboard that measures 31 by 17 inches. Squares of equal size…

A: let the cut out square side be "x"length of cardboard is 31 inBreadth of cardboard is 17 inAfter…

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: An object moves along a line, where its velocity function is as described by the graph below. What…

A: answer is in next step

Q: t cos t?dt can best be evaluated by: A Power Formula B None (c) Trigonometric Transformation D…

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Q: Determine the vector field of F. F(x, y) yi-xj

A: see below the answer and explanation