If f(x) = X S 1.² (2.3 (+³ 0 then f"(x) = || + 5t² + 7) dt

Q: -z+5y R 22 c-4y -z+5y=0, z+ 5y = 5, 2x - 4y= 1, 2x - 4y= 2 Find -dA, where R is the parallelogram…

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^+1 √n+3…

A: Use alternative series test to check convergence

Q: ⑥, y=14x-5 x-2x+3) 5

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Q: In Problems 51-60, find the indicated function or value if C(x, y) = 3x² + 10xy − 8y² + 4x 15y 120.…

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Q: 9.. Series with exponentials and factorials: use the ratio test to test the convergence of complete.…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Find the area enclosed. R=3+2costheta

A: The curve equation R=3+2cosθ

Q: C. Find the differential equation whose solution is given by: In y = Ae* + Be¯x

A: ln(y)=Aex +Be-x

Q: The system x' = 4y + 10x² - 39x + 34, y' = 4xy + 3x - 14, has a critical point at (2, 1). The change…

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Q: 10. Maximize f(x, y) = 25 − x² - y² subject to 2x + y = 10

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Q: Let R be the region bounded by the functions f(x) = -4x² and g(x) = -9 as shown in the diagram…

A: The given functions are:f(x)=-4x2     and      g(x)=-9

Q: a) Calculate the exact area bounded by the x-axis and the graph of y=15-8x+x^2…

A: Since, you have posted multiple questions. As per guidelines, we are supposed to answer only first…

Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: 0< t < 1…

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Q: Calculate f(x, y, z) dS, where S is the part of the plane x + y + z = 4, where x, y, z ≥ 0, and f(x,…

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Q: S 2x е e +3 ¡dx

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Q: 1. Find the following for the function f(x, y) = 3x³y² — 5x + 26y - 9. a. f(1,2)= b. fy(x, y) =

A: To find the following for the function fx, y=3x3y2-5x+26y-9. (a) f1, 2=? (b) fyx, y=?

Q: 13. The marginal cost of production for a new skateboard is MC(q) = 2q+75 and the fixed cost is…

A: The marginal cost of production for a new skateboard is MCq=2q+75 and the fixedcost is $2,000. (1)…

Q: 42. f(x, y) if f(x, y) = x² +9y² – 4 2

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Q: 7. Part 2. Evaluate each definite integral using the Fundamental Theorem of Calculus, TT/2 a) (3e* +…

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Q: The Intermediate Value Theorem guarantees the existence of a real zero of a polynomial function as…

A: The intermediate value theorem guarantees the existence of a real zero of a polynomial function as…

Q: 2 d) ²₂t(t4 +3t)dt -2

A: We need to solve ∫-22t(t4+3t)dt

Q: Use spherical coordinates. Find the volume of the part of the ball p sa that lies between the cones…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: As we know that x = rcosθy = rsinθGiven r = 8cosθ ,    θ = π3

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Water flows into an empty reservoir at a rate of 3000 + 540r liters per hour (t in hours). What is…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 1 +…

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Q: 4. Each of the following series diverges. For each, choose the first listed reason, from the order…

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Q: 9. One of the fundamental themes of calculus is to find the slope of the tangent line to a curve at…

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Q: Consider F and C below. F(x, y, z)= yzi + xz j + (xy + 12z) k C is the line segment from (2, 0, -1)…

A: The given vector function: F(x, y, z)=yz i+xz j+(xy+12z) kGiven line segment:  C: from (2, 0, -1) to…

Q: Find the following limit. - 4t² – 2t – 1, lim . 3

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Q: Sketch a graph of the function (x + 1)³(x − 2)²(x + 4).

A: Function: We need to plot the graph.

Q: 9 If Ef fºrex 4 f(x) dx = 33 and 9 √³⁹(x) g(x) dx = 14, find *9 fºc [4f(x) + 5g(x)] dx.

A: To find out the value of the given integration.

Q: Find the angle 8 between the vectors in radians and in degrees. 5 [cos(3)i + sin(37)] 4 (²7)₁] u = 5…

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Q: Solve the following questions: 1. If f(x)=17x+3, find f'(-3) 2. If f(x)= 13, find f'(-6) 3. If…

A: We are authorized to answer to answer one question at a time, so we are answering the three…

Q: 2. Find the volume inside the sphere x² + y² + z² = 10², by using spherical coordinates.

A: equation of sphere

Q: Use the Mean Value Theorem to show that there is no function f satisfying f(0) = 0, f(9) = 5, and…

A: If function continuous on a,b and differentiable on a,b such that fb≠fb Then f'c=fb-fab-a

Q: Given z₁ and Z2, find the distance between them. Z₁ = -5-7i and Z₂ = 8-3i √[?]

A: find the distance between them Z1 and Z2

Q: company that makes beach umbrellas faces a fixed cost of $10,000 a month. Each umbrella requires $12…

A: Let x = number of units produced    a. fixed cost of $10,000 a month Each umbrella requires $12 in…

Q: Find (y - 1)(3y² - 2y + 1) [(y - 1) (34² dy. +1

A: We are required to find: ∫(y-1)(3y2-2y+1)y2+1dy

Q: Consider the function f(x) = 5x³ 4x on the interval [-5, 5]. Find the average or mean slope of the…

A: f(x)=5x3-4x on the interval [-5,5] We have to find mean slope

Q: Compute the given integral. Use exact values. 8 -5x [² e-te da = е

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: solve x3+3x2+14=0

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Q: Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human…

A: The growth rate of Escherichia coli, a common bacterium found in the human  intestine, is…

Q: 6)What is the nominal annual rate of interest compounded monthly at which $778.00 will accumulate to…

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Q: Find the average value foff between a and b, and find a point c, where 9. f(c) = fave f(x) = √√- 4x…

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Q: Consider the series: The interval of convergence goes from x = The radius of convergence is R = If…

A: To find the solution

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: 3) Consider the function g(x) = cos(3x). a. Write the first three non-zero terms of the Maclaurin…

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Q: Use a change of variables to evaluate the definite integral Enter an exact answer. T/sec² sec² (5t)…

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Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

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