6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval [-1,1].

Q: 4. Use cylindrical coordinates to evaluate [!] √²³² + y²dv₁ D where D is the region that lies inside…

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Q: Find the total length of the curve r = acos² 0. (A) 3.12a B) 6.89a 1.19a 5.52a

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Q: Question Find the differential dy of the function y = -2 cos (6x). Provide your answer below: dy=dx…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? ∞…

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Q: Question 10 Given: y = xcos (x); Find y'". O(E) None of these Oy" xsin (x) + 2 cos(x) Oy" asin (x) -…

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Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…

A: Here, the given DE is: y''-4xy'-y=0    ...(1) with y(0)=4,y'(0)=2

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: ANSWER

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Q: d. √ 1² ( 12/7) dx 3

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Q: Find the derivatives of the following function (a) y=4²+2 2x+3 2³+2+1

A: The solution is as follows:

Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

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Q: Find the value of the angle A that produces the triangle with a maximum area if the diameter of the…

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Q: \1/2 2. y = (2 tan² 20-1)

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4.…

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Q: Find the Taylor series of the function at the given center a. f(x)=x³-5x, a=2

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Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: An airplane leaves City A and flies 125 km due north to City B. It then turns through an angle of…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

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Q: d. y = 2x³ ln(x)

A: Follow the procedure given below.

Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: D Question 5 Find the derivative of -2x f(x) = x f'(x) = -2x²e-2x (E) None of these f'(x) = e-2x…

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Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: 7. ft³10t+-3 dt

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Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: Find the present value of a $45, 000 annual income stream if it is invested immediately as it is…

A:

Q: #6

A: Topic:- application of integration

Q: d the amount of money that accumulates when $310, 000 is placed annually into a non-interest-earning…

A: Given query is to find the amount accumulated.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

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Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

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Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

Q: Define a weakly quasi-concave on a Cobb-Douglas Function

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: 2. Find each indefinite integral CS Searned with (278x²) da eamscanner 2.5

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Q: Part 1: Part 2: Part 3: Part 4: Let h be the height of APQR. Find the length of the corresponding…

A: Part 1  as h is height  base  = PQ  length of base = 20 mm

Q: The f sin x cos²xdx is x sin 4x {A} 16 64 sin 4x x {B} 16 16 O A B O - sin³2x 48 sin³2x 48 +C + C…

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Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: ✓ Find the arc length of this portion of the curve. Round your answer to two decimal places. L =…

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Q: Evaluate the following integrals. 4x+10 1. S (x-2)(x−1)²6 dx

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Q: 18. In each part, evaluate the integral, given that f(x) = (2x, x≤1 x>1 2, (a) forex f(x) dx (b)…

A: 18.fx=2x,x≤12,x>1

Q: Calculate d^2 f where f(x,y)=e^x sin⁡y.

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Q: Evaluate the definite integral. √ (e19¹ ₁ + (e¹% i + e¯¹j+1 k)dt O e¹⁹ - 1 19 O el9 i-e²¹ j + ½ k 19…

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Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…

A: Given query is to find integral converges or diverges.