Evaluate the integral √x³√x² +9dx. 3 2 [x²+√x² +9dx= .3 2

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A: Given that z=x2+xy4, x=uv2+w3, y=u+vew We have to find the value of ∂z∂v, when u=-3, v=-2, w=0.

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Q: You invest $1000. If the account grows by 4.8% per year, how quickly will the account be growing (in…

A: Let principal ( P ) = 1000 rate ( r ) = 4.8 % r = 0.048 time = 27 years

Q: 163 0 x 2 ared units

A: Topic:- application of integration

Q: 5. Find the value(s) of x where the tangent line is horizontal for f(x) = 3x³ - 2x² - 9.

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Q: Write the sum using sigma notation: 6+8+10 + 12 + A = Β: = A + 32 = Σ B, where n=1

A: The nth term of an arithmetic  sequence with first term a and common difference d is a +(n - 1)d

Q: Which is a central difference? O [f(b)-f(a)]/(b-a) f'(a) [f(a+h)-f(a-h)]/(2h) O O [f(a+h)-f(a)]/h O…

A: Given that we need to find the formula for the central difference from the following.

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A: Given that coffee is served at temparature 185°F at room temperature 65°F.Two minutes later coffee…

Q: Obtain the general solution. (EXACT EQUATIONS) 1. (3x²2y2) = 2xy dx

A: To obtain the general solution.3x2-2y2dydx=2xy

Q: Click the best answer * 2 y=−(1+x²)(2+x²) -1 -3 0 -4 3

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Q: What can be concluded when integral test is applied to the following series? 8 Σ n=8 1 (n-7)² None…

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Q: Q: (2x+y)(x+y) ах Find -?

A: Given query is to find indicated partial derivative.

Q: Consider the function f(x) = Compute the definite integral a+2 | 5 for 0 < x < 2 for 2 ≤ x ≤ 3. 1(a)…

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Q: 30. For the expression below, explain how you will find the restriction(s) for x. log(x²-4)-log(x +…

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Q: Find the Maclaurin polynomial p3 (x) for f(x) = 5 tan (5x). Provide your answer below: P3(x) =

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Q: Obtain the particular solution of the following: (SEPARATION OF VARIABLES) 2. 2y dx = 3x dy; when x…

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Q: turning points show all work y(x)=2x^4-10x^2+8 y(x)=(x+1)(x-2)(x+3) y(x)=-(x+1)^2(x-3)

A: we have to find turning points of given curve :- 1 .  y(x) = 2x4-10x2+8now ,…

Q: Compute the following derivative using the method of your choice. d (9x² + ³x) dx P dx (9x² + ³x) =…

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Q: ts) Solve the following system of equations using any method (algebraic or matrix). Show all steps.…

A: Given, 2x+3y+z=7 x-2y+3z=5 3x-y+2z=0

Q: Consider the matrices A = Calculate 2B - A. O O O a.) -1 -5 12 7 -3 10 1 14 b.) 8 6 - 16 - 16 6-10 4…

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Q: Find the iterated double integral in polar coordinates of the integral SS-√4-x² 3x dydx

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Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Let's find value of h'(4).

Q: -1.5 D -0.5 5 4 3 1 0 10 y = x(x-2)(x + 1)(x - 1) 0.5 1.5 2.5

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Q: · [.². fi Use Green's Theorem to evaluate F.nds, where F =(√x+3y, 2x + 3y) C' is the boundary of the…

A: Please see the below picture for detailed solution.

Q: Given the solid generated by revolving the region bounded by the lines and curves y=y=0, x=16, and…

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Q: 9. What is the average rate of change of f(x) from x₁ = -9.8 to x2 = 0.7? Please write your answer…

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Q: Find the maximum and minimum value of f(x, y) = x - 3y on the closed disc of radius 5.

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Q: The graph of y = f(x) is given below. 10 6 4 2 2 (a) Calculate f'(8). Briefly explain how 8 equation…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: Given query is to find the rate ate which volume is decreasing.

Q: 1. Find the area lying above the x-axis under the parabola y = 4x - x². Answer: 32/3 sq. units

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Q: Click the best answer Y = (x - 1)¹ + x

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Q: Given the function f(x) = Find the difference quotient - 2x² f(x+h)-f(x) h Find f'(x) by determining…

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Q: Let f(x) be defined as = { f(x) = { 3x² - 2x, -4+*, x≥1 x < 1. a) Is f(x) continuous at x = 1?…

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x³ +…

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Q: ( solve the following system using the Inverse Matrix method of Assignment 24. Clearly show the…

A: Given: This can also be written as the following. 1353-21223xyz=495 Now,…

Q: What is the intergral of 1/sqrt((1+t2)) dt

A: we have to find the integral :-I = ∫11+t2 dtnow for solving integral , put t = tanu⇒dt = sec2u du…

Q: Find the area of the shaded region. Enter your answer as a reduced fraction.

A: Given two equations f( y ) = 1 - y2q( y ) = y2 - yshaded area varies from y = -1 to y = 1

Q: z1 and z2 in polar form. (Express ? in radians. Let 0 ≤ ? < 2?.)

A: since we know that if  z = a + ib be complex number then its polar form be z = r cosθ+isinθ   where…

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: question 15 please show all work  You invest $1500. If the account grows by 71 dollars per year, how…

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Q: A local retail business specializing in the sale of personalized baby blankets has a fixed cost of…

A: Given data Fixed cost ( F ) = 2550 variable cost = ( 45 + 5 )x = 50x selling cost per item = 125…

Q: 25. Birth and death rates If the birth rate of a population 0.024t is b(t) = 2200eº people per year…

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Q: Compute the volume of the solid formed by revolving the given region about the given line. √y=4 and…

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Q: Use a software program or a graphing utility with vector capabilities to find the lengths of u and…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: el-3x = 4

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Q: Suppose that tan0 COS tan Ꮎ = = 0 333 and 0 Find the exact values of cos and tan 2 π 元|2 <0<T. 02 .…

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Q: Find y' given 5y² - 8x4 + 3 = 0, and evaluate y' at (x, y) = (1, 1).

A: Given query is to find indicated derivative

Q: Evaluate the following integral using integration by parts. Ste A. -221 dt Use the integration by…

A: Let's solve given integration.