Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

Q: c) y' = 3y + e* A. y = e3* – e/2x C. y = 2e³x – c²"/x B. y = ex – c/2 D. None of these d) y' = cos x…

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Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3…

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Q: Fina the integral (2x-1) (x+3) a. In 7 (2x-1) + C x+3 b. In 6 (2x-1) + C x+3 3 (2x-1) c. In + C x+3…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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Q: Find the area of the shaded region shown in the graph. Q y- 13 sin e 13 cos x The area of the shaded…

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Q: of the minor axis to the major axis? A) 3 B) 3 ulw wIN

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Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 43,100 rides…

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Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: 5x and S(x): = 20 + 2x. Round only Find the consumer's and producer's surplus if for a product D(x)…

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Q: 35. Evaluate |Jxe' dA; where R is the region bounded by y =x, y=0, and x= 1. A) 0.2 C) 0.4 B) 0.5 D)…

A: Region R is bounded by  y= x , y=0  and  x=1

Q: y csc's x cot 5x 2.

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Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: 3. Find dy of the following equations: dx a. y = |(e-3x² + 7x² + In 8x

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: Solve the given Exact Equation. Be sure to supply all the steps that lead to your answer. (cos x cos…

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Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: Sketch the region bounded by the graphs of the functions. = gtx) = -e", x =x = 1 (x) Find the area…

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Q: S. Find f(t), if f'(t) = df 1+ cos(2t) and f =1. %3D %3D dt

A: To find the function f(t) following the given conditions.

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

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Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Please see the explanation below and appreciate my efforts.

Q: What is the probability you draw two cards of the same color from a standard 52 card deck vou are…

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Q: the mapping notation for this function 2. Given the function F(x) -4 *+2 al Determine the mappina…

A: we have  f(x)=4123x+3-2 the domain of the given function is (-∞,∞)and range of the given function is…

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x) =x* – 2x -…

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Q: 5. f(x) = x(12.x + 8) 7. f(x) = 7x²/5+ 8x-4/5 %3D

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Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: Find f. (a) fi" (æ) = sin æ, f(T)= 2, f'(7) = 3. %3D %3D (b) f' (t) = 2 + , f(1) = 1.

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Q: Which one of the following accurately describes the set {(r, 0, 2) |r = 5 } %3D in cylindrical…

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Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

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Q: j(r) = e sech

A: The given function,      jr=esechr2+2r

Q: An object moves along a coordinate line with velocity v(t) = 1(6 - 1) units per second. Its initial…

A: Solution:  To find the position of the object at a point, we must find the position function, which…

Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

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Q: Suppose k is a real number. Use the definition of the derivative to find f' (x), where f(a) = k/T.…

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Q: 1. Find an equation for the tangent line to the curve x= sin nt, y= t? - 3t at the point with t= 2…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

A: We need to find solution of differential equation.

Q: y = e2a %3D

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Q: 1. Find the derivative of the following: (Simplify your final answers.) h(t) = V3t – V2t²,t # 0.…

A: Solving

Q: Suppose k is a non-zero real number. Evaluate the limit algebraically. If it does not exist, explain…

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Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.