Use a Riemann sum with 4 rectangles of equal width to approximate the area between y = x³ +8 and the x-axis on the interval [-2,1]. Use the right-hand endpoint of each subinterval. 25.4953125 units² O23.203125 units² O 16.453125 units² 29.42578125 units²

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Q: the space curve (t) = (2t, t², 2t)

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Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

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A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

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Q: 6. Use the function and the accompanying fig following questions. a. Is f defined at x = 2? O No O…

A: Given query is to read the graph and check about the behaviour of the function on x = 2.

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x OC.Lnsin2x D.csc2x O E.…

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Q: Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

A: Explanation of the answer is as follows

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. OA. B. U O y" - 3y' = 0…

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Q: A baseball diamond is in the shape of a square with 50 ft sides. How far is it from home plate to…

A: A baseball diamond is in the shape of as quare with 50 ft sides. To determine how far is it from…

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Q: - 4- ن 2+ ا ? " ? تان 4. - At each of the following points, choose the selection that best describes…

A: We have to find the nature of continuity at the given point according to the given information

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Q: Question 2 Determine the values of a for which the following system of linear equations has no…

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A: area is=a3/6

Q: Given the vectors à = (2, -1,3), b = PQ where P(1, 1, 1) and Q (5, 1, −1) and Ĉ=i+j+ 3k. Find a)…

A: Given the vectors a→=2, -1, 3, b→=PQ→ where P1, 1, 1 and Q5, 1, -1and c→=i→+j→+3k→.To find 7b→-3c→

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Q: 1) Determine whether or not the following equations are exact

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Q: Find the length of the curve. 1 10x³' y = 6 + X 2≤x≤4

A: y=x56+110x3,  2≤x≤4

Q: (a) If y=f(x) = 7e²+3x² - 20x-5, find the derivative f '(x).

A: given that,   y=f(x)=7ex+3x4-20x-5,   find the derivative of f(x)? formula:   ddx(xn)=nxn-1

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A: Determine the degree,order, and whether it is linear or non linear

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Q: If ƒ(x) = 8x¹¹(»), find f'(8).

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Q: f(x)= (ln x)^3 f'(x)=

A: Given, f(x)= (ln x)^3

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Q: Given the vectors a = (2,-1,3), b = PQ where P(1, 1, 1) and Q (5, 1, -1) and Ĉ = 1 + 1 + 3k. Find a)…

A: Given vectors are as  a→=2i-j+3kb→=(5-1)i+(1-1)j+(-1-1)k     = 4i-2k c→=i+j+3k    c) Projection of…

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB. cot2x OC.Lnsin2x OD. CsC2x OE.…

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Q: 5 5 Suppose ff(x) dx = 25, f f(x)dx s., $ f(x)d. 3 0 the following: a. 0 3 (5f(x) - 6g(x) + 4h(x))dx…

A: The basics of integration must be cleared in order to attempt this question. Rest of things are…

Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

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Q: Find the total area bounded by the graphs of f(x) = 3x³x² - 10x and g(x) = -x²+2x. O 32 units² O 8…

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Q: Generate differential equation by elimination of arbitrary constants. 2. y=x+c₁e* + c₂e-*

A: Given: Now,    y'=x+c1ex+c2e-x' =1+c1ex-c2e-xy''=x+c1ex+c2e-x''=c1ex+c2e-x

Q: COTE - L J

A: Given query is to find indicated derivative.

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A: We have to find which of the following function is not exact. We

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A: Determine the Order and Degree of the Differential equation.

Q: Question 20 Obtain the differential equation whose general solution is y = C₁ + c₂e³x A. B. D. E. y"…

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Q: For # 1-12, differentiate 1₁ f(x) = (x² - 3x + 5)35 3 2. g(x) = √²-5 3/x2-5 3. y = sin x² 4. y =…

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Q: Can someone compute this into decimal form. f'(4)=-sin(4)-3sec²(4) Thank you

A: we already have f'(x)=-sinx-3sec²x so,f'(4) =-sin(4) -3sec2(4)

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

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Q: Find the exact length of the curve. y=ex, 0≤x≤ 3

A: Length of curve =∫ab1+dydx2dx

Q: f f(x) = = f'(x) = 2x² tan x " Find f'(1) 0 find sec x 2x(x + 2 tan(x)) sec(x) B x 0

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