Find the point(s) at which the function f(x) = 6 - 6x equals its average value on the interval [0,8]. The function equals its average value at x = (Use a comma to separate answers as needed.)

Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere.…

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Q: f(x) = X X+1' a = 1; f(1.2)

A: topic - linearization of a function

Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: S ³+3 dz

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Q: The table provides various values, including select minimums and maximums, of a particular cosine…

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Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

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Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: Express the following as a linear combination of u =(3, 1, 6), v = (1, -1, 5) and w = (4, 2, 4).…

A: To write down the vectors into the linear combination of the given vector.

Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

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Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= O None of the others…

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: The position vector r(t) = 5ti+2tj+4tk describes the path of an object moving in space. Find the…

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Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

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Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

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Q: √2x+6 2. Y = √√√3x² +10x +3

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Q: Evaluate fx and fy at the given point. f(x, y) = e¹³y sin(x), (π, 0) fx(π, 0) = (No Response) fy(π,…

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Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

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Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

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Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

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Q: Determine where the function m(x) = x + 1 (x-1)(x-7) is continuous. The function is continuous on…

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Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

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Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

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Q: Answer the following questions for the function f(x)=x√x²+1

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Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…

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Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: (a) [2 2 2x dx

A: Note: As all are different questions, as per our company guidelines we are supposed the answer the…

Q: Find the total differential. z = x cos(y) - y cos(x) dz = (No Response)

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Q: Let S be the plane with equation 2x - 3y + 4z = 1. Find parametric equations of a line that goes…

A: Explanation of the answer is as follows

Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6

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Q: Find the first partial derivatives with respect to x, y, and z. 3xz x+y aw əx Əw ?у Əw əz || W = (No…

A: This question can be solved using the concept of partial derivatives.

Q: The Doyle Log Rule is one of several methods used to determine the lumber yield of a log (in…

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Q: 5x3+ 40x² + 94x - 1 (x² + 8x + 17)² 1³ dx

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Q: Use the washer method to find the volume of the solid of revolution for the region bounded by…

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Q: Show your complete solution: Evaluate the triple integral ㅠ pxy 2 L x 0 COS Zdzdydx X

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Q: P 2. Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the…

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Q: The owner of an apartment tower rents out each of her 250 apartments for the sum of $300 per month.…

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