Let f be a function such that | f(u) du = -12. What must be the value of -6 f da?

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: (40%) Clasifica las ecuaciones Tipo Homogénea Orden Linealidad P'y " + 2xy" + 20.xy' – 78y = 0 ylA) ...

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Q: Find the indicated derivative and simplify. 9x - 7 y' for y = x+6x y' =

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Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ

Q: 8. When is the function concave up or concave down? Where are the inflec- tion points? y= a e Ct

A: The function is concave up in (b, d) U (f, g)

Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: The coefficient of z2 in the expression (a +z)5 is 640. What is the value of a?

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Q: Describe the transformations that must be applied to the graph of y = cosx to obtain the graph of y ...

A: Given query is to find the transformation applied.

Q: 11. DETAILS LARAPCALC10 3.5.002.MI. Find the number of units x that produces a maximum revenue R. R ...

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Q: 2. -2

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Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: Which of the following limits is equal to a* da? 4 A lim T 00 k 3+ n k lim (3+ 2 T 00 n k-1 C lim T ...

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Q: x V3x - 5 dx

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Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

A: This question can be solved using the concept of definite integral.

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Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: Y (x2 + 2x + 1)+ V1-y = 0 has a solution of the form g(y) + f(x) = C. Find the constant C which sati...

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Q: Let f(x, y) = x² + xsin(y). %3D

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

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Q: Assignmant Indegrat 32. 2. dx 3) d2

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Q: Suppose that we don't have a formula for g(x) but we know that g(1) = -1 and g'(x) = V x2 + 15 for a...

A: Given, g(1)= -1 g'(x)= √(x²+15) g'(1)= √16= 4

Q: Give the first four nonzero terms of the series about x = 625 representing the function f(x) = v

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Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Find the angle e between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: The angle between two vectors can be evaluated by: θ=cos-1u·vu v

Q: Show that f x) = Ix- 5| is NOT differentiable at 5 by using the definitien of the derivative, (Start...

A: Definition of derivative:f'(x)=limh→0 f(x+h)-f(x)hf(x)=x-5f(x)=5-x,  x<5x-5,  x≥5L.H.S. limit:x&l...

Q: Let f be a function such that af (4x + 3) da = 2. Write an equation that can be inferred involving t...

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Q: Question 13 Are the following functions inverses? Select the correct answer. f(x) = 6x 2 | x + 2 g(...

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Q: Consider the function 9(x) = (3x + 5)*2 %3D Which of the following expressions would we use to deter...

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Q: o be pumped into the tank at time t = 0. A different pipe is draining rater from the tank starting a...

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Q: O Determine it the following function is eontinues at 2 f(x) = [2x*_2x-4 if x +2 ノ X-2 1 if x=2

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: Determine Where f(x) = 6x-40x + 120 %3D is increasing. Select all that apply Hint: Use a sign chart ...

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,...

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Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

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Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: 0 minutes. Water begins to be pumped 0. A different pipe is draining water from the tank starting A ...

A: Water

Q: Given the function -5 - 7 Y(s) (S + 1)(s - 2) 1. Use Partial Fractions to break apart the large frac...

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Q: If C(x) = 3000 + 10x - x2 then find the marginal average cost function C'ave (x) C'ave (x) = 10 – 2x...

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Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: e implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 4y = 3x3 D |(-1,1) =...

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