8. Find i • i 55° lū| = 7| = 31

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

A:

Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

Q: PART 1. Complete the table Tre Lf (x) f (x) f'(x) f'(x)dx (2) (1) f(x) = 3x* – 5x³+ 6x2 - r + 7 (1)…

A: The given function is  f(x)=3x4-5x3+6x2-x+7.

Q: Use sigma notation to write the sum. 7n 7n Σ I = 1

A: To use sigma to write the sum.7n6-7n7n+...+7nn6-7nn7n

Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A: Work

Q: t-4 lim x-3-3-ax

A: We have to find out the limit

Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

Q: The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

A:

Q: 19. (5x2 — у) dx + xdy %3D 0

A: Given (5x2 -y)dx + xdy = 0 (5x2 -y) + xdydx = 0 Calculate whether the differential equation is exact…

Q: The function f(x) = 4 + 6x + 54x has one local minimum and one local maximum. This function has a…

A:

Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x)=4x; R(x)=6x-0.001x^2

A:

Q: 5. Determine the vertical and horizontal components of each force. a. 810 N at an inclination of 75°…

A:

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

A:

Q: Find the relative maximum and minimum values. f(x.y) =x +y+18x-10y Select the correct choice below…

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Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

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Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i + 5 sin(t)j + tk; t = T()= NG) II

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Q: You want to construct a box whose height is twice the base length.  The material used to build the…

A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: 6. Given i [2, – 5]and i [- 7,2] find %3D а. 5 - b. i C.

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Q: Sketch the region enclosed by y = 7x and y = 3x". Find the area of the region.

A:

Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x>=a The function 1/(x-a) is continuous iff x≠a

Q: HA use the Ratio test to determine it the tollowing series Converyo absolately of diverges

A:

Q: 1 7. (x dy – y dx) = 0 x² + y²

A:

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

A:

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A: The given integral is:∫-2x+4x2+1x-1dxWe need to evaluate the above integral.

Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Find the exponential model y = ae bx that fits the points shown in the table. 3 y 6. 1.5 y = 2e°…

A: In the given problem we input the value of x and get the value of 'a' & 'b' with the help of…

Q: Correct Consider the function f(x) = 3x - 9x on the interval [-4, 6]. Find the absolute extrema for…

A:

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x2 + 2)(x² + 1)²

A:

Q: e-(x²+y³)(x dx + y dy) = 0

A:

Q: (a) Consider A B + X-1 7x2 - 17x + 38 C (x + 6)(x – 1)²- x+6 (x – 1)² (i) Use partial fractions to…

A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: Evaluate the integral F(t) = f e-t cos(5t) dt. (Note: An arbitrary constant has been added for you.)…

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic. (Assume that n begins…

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15x +…

A: here i am giving my handwritten solution.

Q: Evaluate the integral | 3t³ (t² + 4)5dt

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Q: 2x + 1 (a) lim 9x2+ x

A: We have to solve the limit

Q: Evaluate the integral sin x dx (2 + 3 cos x)2

A:

Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)2

A:

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

A: