sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

Q: Vx+1-2 lim 3. Evaluate x-3 using table of functional values.

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Q: Seatwork 2 • For numbers 1-4, use the given figure below to determine the limit and function values....

A: We need to find the limit and derivative. NOTE - As per Bartleby's guidelines we can solve only 3 su...

Q: k2020k Consider the series > ak = k!. k-1 k=1 a) What is ak+1? ak-1 aktl? b) What is ak ak-1/a ak+1 ...

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Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

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Q: 8. Find f such that f'(x) = f(9) = 56. f(x) =]

A: Given f'(x)=8xWe know that ∫f'(x)=f(x)f(x)=∫8x dxWe know that ∫xn dx=xn+1n+1+C     =8*2x      =16x+C

Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or ...

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Q: Thankyouuu

A: We will find the differential equation of order 2.

Q: 7 f (x) = VE .A is the point (4, 2). Which one of these is an equation of the tangent through point ...

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Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: What point on the line y = 7x + 10 is closest to the origin? ... Let D be the distance between the t...

A: We will find the point and the objective function. 

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

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Q: Consider the following function. f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) = %3D

A: The given function is f(x)=x5-2 we have to find the inverse of the function of f. f-1(x)=?

Q: Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Given F(r, s, t) = r(3s² + 3t²), compute: Frst

A: Solution of question is written in below steps.

Q: 5. (a) Complete the following unit circle. 0 or 27 11л 6 (b) Use the unit circle above to evaluate e...

A: on circle unit are angle        unit 0              (1,0) π/6          (0.866 , 0.5) π/4          (0...

Q: (x2 – x + 1)y = 4(1 – 2x)y O y = (z? - a + 1)* + C O y = C(x? - a + 1)-4 O y = C(x² – x + 1)4 O Iny ...

A: We know, ∫ dx/x = ln|x| + C , C is a constant. ln(a)+ ln(b)= ln(ab) b*ln(a)= ln(a)b  

Q: A Evaluate the following integrals. 1. S2 dx 2. S6x dx 3. f9° dt 4. S-15x dx 5. S(3x - 4) dx 6. S(7u...

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for 11 su...

Q: tangular bird sanctuary is being created with one side along a straight riverbank. The remaining thr...

A: Topic:- application of derivatives

Q: Evaluate the following Integrals: 1. J 6x2 sin x³ dx J sec 3x tan 3x cos (sec 3x) dx 3. S у csc3y? c...

A: The objective of the question is evaluate the indefinite integrals.

Q: ine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws...

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Q: 1. Determine whether the following series conv. or div. (n+4)! a. Ln=1 4! n! 4n 1 1 b. En=1 4n 2" co...

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Q: Find the critical numbers and absolute extrema for y on the interval [0.5, 2]. Type DNE if an answer...

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Q: 00 n+47 Vn²+3n)n=1

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Q: d 1) a = (a & b nonzero real numbers) dx

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Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The...

A: To find the length and width of the rectangle that has perimeter of 32 with maximum possible area. L...

Q: Suppose a person wants to travel D miles at a constant speed of (2 + X) mi/hr, where x could be posi...

A: topic - linear approximation of a function

Q: Show that the sequence {xn}: cost -dt is a Cauchy sequence. t2

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Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equ...

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Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Sondere ebch exprO sSn to G sngle logarithm 3. 2. 3. + log qfu + lay a to 3.

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Q: WeXg+x*g²_x*y% show that wxy=Wyx fnd wiy if waflusu),u=メー 2wefluV)u=メーツ V=xy Express the answer inte...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: Problem : Find the derivative of the series 16x4 2x 4x2 8x3 32x5 f(x) = 1+ Also 1! 2! 3! 4! 5! show ...

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Q: y” − 10y’ + 50y = 0, y(0) = −3, y’ (0) = 1

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Q: 4. The domain of the function f(x) = V3-1 is %3D and its range is. 5. The a-intercept of the line 5x...

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Q: Find the amount of water in the tank if.. (a) 7,100 gallons of water in a tank drains out at a rate ...

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Q: -4 If possible, express w as a linear combination of the vectors v1, v2 and v3. Otherwise, enter DNE...

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Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: 10. f(x, y) = (x - y)/(x+ y); R is the region enclosed by the lines y = x, y = 0 and the circle x +y...

A: Given function f(x,y)=x-yx+yand   R is the region enclosed by y=x   , y=0   and   x2+y2=1  in first ...

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: We can solve this as follows:

Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

Q: et -5 0 1] A = [2 -10 0 2 escribe all solutions of A = 0. = x2 +x3 +x4

A: Here we have to solve the given problem.

Q: Integrate S 3xe4 dx

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Q: sec3x The integral of the given function dx is Atan3x cot 3x cot3x а. +C 9 b. – cot 3x, cot3x + C 3 ...

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Q: B a A Note: Triangle may not be drawn to scale. Suppose a = 2 and b 11.

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Q: 1 у %3D2 — х, y = Vx, y =7x2 – 1, x = 0

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Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes thro...

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Q: 9. Solve. a) 4+6(4 *)= 5 b) 2(5) + 2(5) = 4

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