Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact answer.) Provide your answer below:

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from a...

A: Given query is to find the graph of the derivative.

Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in t...

A: Topic = Algebra

Q: Statement Equation X and inversely as cube of W. z = KM³N the product of r and t and inversely as W ...

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

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Q: Solve the differential equation by using integrating factors. (x + 2)y' = 6x + y y(x) =

A: Here, the given DE is: (x+2)y'=6x+y⇒y'=6x+yx+2⇒y'=6xx+2+yx+2⇒dydx-yx+2=6xx+2 which is a linear DE wi...

Q: Find the specified term of the geometric sequence. a5: a1=7, a2=28, a3=112,… a5=

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Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

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Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: B. . .] For each of the following limits, use the properties of limits to compute the limits. Show y...

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Q: (1-x+2x²-x³ -dx x(x²+1)²

A: NOTE: Refresh your page if you can't see any equations. . first, we need to use the partial fractio...

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Q: Explain why the integral is improper. 81 1 xp 1.4- 1.2- y 0.8- 0.6 0.4 0.2 40 60 80 O At least one o...

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Q: b. V3x -11= x+1 ,2

A: Solving on graph

Q: Is the differential equation linear? y' = y + ey

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Q: 10- y 8- 2-

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Q: Evaluate the integral by changing to cylindrical coordinates. V16 - x 2 16 - x2 - y2 4 x² + y² dz dy...

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Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y² a...

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Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

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Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market...

A: Given : Demand Function : p = 121 - x2 Supply Function : p = x2 + 6x + 65 Now, 121 - x2 = x2 + 6x + ...

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

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Q: 5x dx J 4x+12x²+9x³

A: On solving this we will get:

Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to th...

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Q: 1. Let f(x) = (Use sqrt(N) to write VN) V5x2 + 4x + 8 f'(x) = > Next Question

A: Given query is to find the derivative of the f(x)  

Q: 2. Consider the series E (In(2n + 1) – In(2n – 1)) . n=1 (a) Let a, = In(2n +1) – In(2n – 1). Does {...

A: The given series,             ∑n=1∞ln2n+1-ln2n-1

Q: Find the area Aof the region R bounded bounded the graphs of y2 − 4x = 0 and 2x − y − 4 = 0.

A: Given,           y2-4x=0 and 2x-y-4=0To find : Find the area, A of the region R bounded bounded the ...

Q: 4cosx + 2sinx at x = 2

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Q: (-1)" n n! n=1

A: Yes the series is convergent  see below the explanation

Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

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Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: x+4 5. S #dx

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Q: 12 + csc 0 [sin 0 + csc 0]d0

A: Given I=∫12+cscθ(sinθ+cscθdθ To evaluate the integral I

Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

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Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) d...

A: Given query is to find the indicated derivative.

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: +00 El-1)nInn- n=2 n2

A: The given series,        ∑n=2+∞-1nln nn2

Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

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Q: Find the volume obtained by rotating the region bounded by the given curves about y =-1. y = sinx, x...

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Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence.

A: To determine the interval of convergence

Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: 3. Determine the set of points at which the function is continuous. (a) F(x, y) = V1+x – y (b) G(x,y...

A: To find the sets where the function is continous. Note that, the function is continuous on a set whe...

Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges O diverges ...

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