Find the length of the curve y 12z/2 - 4, 1

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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A: We have to find the rate of change of radius when the area is 1225π sq.mm

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Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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A: This question can be solved using the concept of matrix multiplication.

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Given the function f(x) = () a) Find a power series representation for f(z). п(п + 1) (n + 2):…

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: Suppose that P = (x, y) has polar coordinates Find the polar coordinates for the following points if…

A: As per the guidelines I am supposed to do the first three questions of a multipart question. As you…

Q: 109 109 Suppose that > a; = -13 and > bị = 16. Comp i=1 i=1 the sum. 109 2 (8a; + 24b;)

A: ∑i=1109(8ai+24bi)=∑i=1109 8ai+∑i=1109 24bi=8∑i=1109 ai+24 ∑i=1109 bi

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A: Formula:ddx(uv)=u dvdx+v dudxy = x cos(x)y' =x [-sin(x)] + cos(x)[1]y'= cos(x) - x…

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Q: Integrate x sqrt of (x+4) dx using algebraic substitution

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A: Here, the given function is: f(x)=x2x2+3 That can be rewritten as: f(x)=x2+3-3x2+3=1-3x2+3

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

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Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

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Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the…

A: We have to find if first series converges.

Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: evaluate the following integrals

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Q: For each of the following functions, determine whether the function is: • Injective (one-to-one). •…

A: We have to check whether the function is Injective, Surjective or Bijective.

Q: n(n + 1)(2n + 1) 3. Le n be a positive integer. Use induction to prove || 6 j=1

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Q: Given: xe + In(x - y) = . Find dy/dx. %3D O dy 2ry(x-y)e+x+a*(z-y)(2a+1) da r +z? (x+y)e? 2a…

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Q: Evaluate the limit x +y lim (x,y)→(0,0) sin y O None of these O The limit does not exis O-3 O3

A: Given problem:-

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Q: A mdc.blackboard.com B Content Question Completion Status: 10 20 3D 4 50 7 10 11 120 130 14 Find the…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

Q: For f(z) = 3e6'the value of log(f(z)) is

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

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Q: 5 - 4x² dx 4. 3 + 2X

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Q: For the following data set, find the regression line without using a calculator. 1 2 3 4 y 3 6 7 9

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Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: e dxdy is e dydx. The reverse order of False O True O

A: The graph is shown below:

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

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Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

A: Rate

Q: raph the following horizontal parabola, and give the domain and range. Ay 10 x- 4 = - 2(y - 3)2…

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Q: x* + 3x? + 1) dx 5. 2e*dx 6. S(2e*+4*)dx 4.

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Q: Part I x² -9 1. lim х>з х-3

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Q: dv v2

A: Use the basic properties of integration.