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Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: Let a and b be real numbers. What integral must appear in place of the question mark "?" to make the…

A: Given query is to find the missing integral part.

Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.

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Q: x3 +5 dx Consider Approximate this by using four subintervals and: A left endpoints B right…

A: To integrate f(x)=x3+5x on the interval [1,5] .

Q: 6. -30 4 2) -5 -10 40 寸

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e. (a) Verify that yp = -3x + 2e*…

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Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

Q: Σ (-1)"x2n (2n)! 1. For all x E R, cos x = n=0 (a) Find a power series that is equal to a cos(x²)…

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Q: 97 97 Suppose that ai = -4 and b; = 14. Compute the sum. i=1 i=1 97 2(- la; + 4b;) Question Help:…

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Q: 8 Jcos xdx Scos xdx 10 12 Scos? xdx

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Q: Sonya and Isaac are in motorboats located at the center of a lake. At time t = 0, Sonya begins…

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Q: Find the gradient vector field (F(r, y, z)) of f(x, y, z) 5zy ze F(1, Y, 2) =

A: Gradient vector field F→(x,y,z) of a function f(x,y,z) is given by,…

Q: 4. Consider the function f(x) = (2x - 3)5. Discuss the continuity and %3D differentiability at x =…

A: 4.f(x) = (2x-3)15 from the graph, f(x) is not differentiable at x=32 , since slope changes at x=32…

Q: 13 |xsin xdx ーT 15 (xsin xdx

A: I=∫ x sinx dxIntegration by parts;u=x, v=sinxI=x∫sinx dx-∫(1 ∫sinx dx) dxI=-x cosx +∫cosx dxI=-xcosx…

Q: Evaluate the iIntegral using the following values. dx = 16, 4

A: The answer is in below step.

Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

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Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

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Q: S 2+3* dx = 4 F. 2Vx 5. In 8 G. 8* S(D-) dx =: Inlxl 6. 2 In 3 H. 2x

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Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

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Q: 3. Evaluate the following integrals: Cose G = 1+ sin ở) v de Vsin

A: LetI=∫cosθ1+sinθsinθdθPut sinθ=udifferentiate on both sidecosθdθ=duI=∫1u1+uduPut u=v2differentiate…

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: fr cos xdx

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

Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

Q: 3. Give a formula for a two-dimensional vector field with both of the following properties: All…

A: 3.Give a formula for a two dimensional vector field with both of the following properties:- Solution…

Q: Consider the graph of y = S(z) shown below in blue. Estimate the value of the derivative at z= 1.…

A: The correct answer is option (2) i.e. f'(1) = -1

Q: Derive the reductive formula for ∫ ln^n(x) dx

A: Solve using integration by parts.

Q: s/25 - s? ds s/ 25 - s ds

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Q: a e B1(0)

A: answer is in next step

Q: Determine the open intervals on which the graph s concave upward or concave downward. (Enter your…

A: Solved below

Q: Antiderivatives resulting in inverse trigonometric function X dx x4 + 3

A: Use the method of substitution and solve the integration.

Q: Jxcs. fxcos xdx 14 fxcos.xdx 16 2 18 |xcos xdx

A: On solving this we will get:-

Q: Ax) = - х — 6 3 X + 2x - х — 2

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

Q: 6. Find the area bounded by:

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Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

A: The given answers are in the fraction form. But you have entered them incorrectly.  Please make sure…

Q: Find if y=tanVx³). dx 1 A 1+x³ 1 (в 2/x³ (1+ x³) 3x2 (1 + x³) D 2(1+ x³)

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

Q: sin 8 What is the exact value of Show your work for partial credit.

A: Find the value of sin(7pi/8).

Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

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Q: Fill in the table and then sketch the vector field. z| y F(z, y) = (, %3D 20 0 2 -2 -2 2 -2 -2| -2 2…

A: Here, to fill the table and then plot the vector filed.

Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: Which graph correspond to the vector field (r, – y)? 3

A: Solving

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

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Q: What is the limit as x approaches infinity? What is the limit as x approaches negative infinity?

A: The given function is: fx=2x3+9x2-108x-5. The degree of the function is 3. So it is an odd degree…

Q: 5 (5y, + 1.5y)3 16.036 (5 + 2/3.25y.) INIM

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Q: Find the most general antiderivative or indefinite integral. 6 5 dt

A: The given integral,          ∫tt56+t3t2dt

Q: Find u - v, 2(u + 3v), and 2v - u. u = (4, 0, -8, 6), v= (0, 2, 6, 4) (a) u - v - (b) 2(u + 3v) (c)…

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Q: 1. Let f be an odd function and g be an even function with f(2) da = 2 3 f(x) dæ = 7 3 9(x) dx = -3…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) (x) =…

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