Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) 3 50 dx

Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: Referring to Figure 11, suppose that F. ds = 9n, F. ds = 97 %3D Use Green's Theorem to determine the...

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: Consider the function f(x) whose second derivative is f''(r) = 9x + 6 sin(z). If f(0) = 3 and f'(0) ...

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = tv...

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Q: Examples Assume for a three variable function f(x,y,z) that the input combination xy=1 never occurs,...

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Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the co...

A: Solve the indefinite integral in complete solution

Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 ...

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Q: Which one is correct, and which one is wrong? Give reasons for the answers. X-3 1 = lim - =- X-3 (a)...

A: Given: limx→3x-3x2-3

Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: carefully apply the Integral Test to determine all values of p for which the series In(n) n=1 is con...

A: Given problem:-

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of ...

Q: Consider the function f() = 2r + 8 on the interval [-7, 5]. Find the absolute extrema for the functi...

A: Given: f(x)=2x+8, [-7,5]

Q: JA- IF f(x) = |Vx- 4, g) x, Find fog(x) Then graph it & determine (domain ,rang Vi- 2cotx B- Granh t...

A: Find your answer below 

Q: Let f(x)=-2x-10x+12 a)Find the intercepts b)Sketch the graph of f(x)

A: topic - quadratic equation 

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 5(- 1)*+12 k! ...

A: Find your answer below 

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

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Q: Find the vertex, focus, and directrix for the parabola (y – 3)? = 24(x – 1) Vertex: Focus: Equation ...

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Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

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

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t + 224...

A: To find: The maximum height. Given information: The height of an object launched in the air t second...

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

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Q: Find the vertex, focus, and directrix for the parabola y? : 8x Vertex: Focus: Equation of the direct...

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Q: Hew.3Findwandow de when P=ty9-4if: be W = xy +yZ + Zu +uV and x = Pg ,y=4 tan P 2= Ln L4-3e) V =P++1

A: put value of x,y,z,u,v in w to solve the partial derivative.

Q: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the ...

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Q: what is the square root of  188 what is 100 times 1 regroup 158+888

A: Given; 1) square root of 188. 2)100 Times 1. 3) regroup 158+888.

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of...

A: We have to solve the question.

Q: 5- for y = (x² + 1)5 dx a)10(x² + 1)5 b) 10x(x² + 1)* c) (x² + 1)* 6- Sin 2x is equal to: a) sin x c...

A: Answer of the above questions are

Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +...

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Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

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Q: In triangle ABC, the measures of angles A and C are 47 degrees and 58 degrees, respectively. What is...

A: We can find the answer as below

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1sy...

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Q: The following function is a company's price function, where p is the price (in dollars) at which qua...

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Q: Evaluate the indefinite integral. S(4Vx- 6x³)dx , and • Identify what is the u=? and du=? Show the c...

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Q: nyn (a) ► n² + 2-n n=1

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: We have to find the value of c by mean value theorem

Q: Let P(x)—-x*+2х*-бх'-5х—1 and D(x)—x+1 Determine the remainder when P(x) is divided by D(x)

A: P(x)=-x23+2x12-6x7-5x4-1D(x)=x+1x+1=0x=-1