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Q: ax +3, if x <2 f(x) = lox²+2, if x 22 It is given that f(1)=5 and f(2)= 6. Find the value of f(a+b).…

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Q: Which of the following is true? A Jcos(3x)cos(4x)ax = [ cos(x) + cos(7x), 2 ® Jsin(3x)sin(4x)dx = […

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Q: Given: (x - 2) - (y- 1) 1, identify the center, vertices, and foci. 4. 5

A: Hyperbola

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: Determine constants A and B such that the given piecewise function is continuous for all x. -1 if x…

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Q: Determine the Average value of g(x)=-4x-3 over the interval (0,7)

A: See the details solution in below

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

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Q: Caso do Sin @ + Sino - 6 3人 da 7u -5 dn

A: Reupload other questions according to bartleby guidelines

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 lim p(x) = 0 lim q(x) = , evaluate if the…

A: A)=limx→a f(x)limx→a g(x)=00=0B)=limx→a f(x)limx→a p(x)=0∞=0C)=limx→a h(x)limx→a p(x)=1∞=1

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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Q: m solving for the antiderivative of f(x) = Fusing trigonometric substitution. Jf(x)dx is transformed…

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Q: Is y=e−3x+x−3 a solution to the initial value problem shown below? y′−3x=−8−3y y(0)=−3 yes or no?

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A: First of all evaluate the integral: F(x)=xcos-1(x)1-x2

Q: e antiderivative of f (x) = is (x – 3)2 (x – 2) A) None of the given choices x – 3 7 + x – 3 - F (x)…

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Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: 9– 4x2 In solving for the antiderivative of f(x) = "using trigonometric substitution, ]f(x)dx is…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x= 3-2x measure.…

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Q: 10 The masses m; are located at the points Pj. Find the moments Mx and My and the center of mass of…

A: Solution:

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Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

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Q: The following table shows the frequency of outcomes when two distinguishable coins were tossed 5,600…

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Q: C) Use separation of variable or homogenous equation to get the particular solution for each…

A: The objective of the question is evaluate the particular solution of the differential equation.

Q: y = -2x + 8 only 5 points on the graph KAe CEN OSSN CONTY CONCOT FOLLTS 14 CHLDREN 2 123 45 6 7 8 9…

A: Discrete domain : where there is difference between domain elements. Continuous domain: where…

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: I am still confused

A: It would be best if you mention with which part you are confused. I'll try to explain it more.  The…

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Q: Use the areas shown in the figure to evaluate f(x) dx, y = f(x) Area = 1.5 5 Area = 0.8 a b d Area =…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 88 and y=…

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Q: x² dx Using trigonometric substitution, the integral is equivalent to A 4 sec²0 tan0 dô B | 4 tan 0…

A: Trigonometric substitution for x2 - a2  is x= a sec(theta)

Q: V20 and that angle A is in Quadrant II, find the exact value of tan A in simplest radical form using…

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Q: Let x = 1.3 and y = 3.22. Determine the value of C when you evaluate cot *(2x)dx. (use radian form…

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Q: Integral test tô đéterm ner each of ne following series converges diverges 00 3 a) 2 2n2 + 1 b) E:…

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Q: Find the gradient of the function at the given point. In(x² – y) - 9, (3, 8) z = Vz(3, 8) =

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form…

A: ∫ xsin22xdx=∫12x1-cos4xdx=12·∫ x1-cos4xdxUsing by parts,=12xx-14sin4x-∫…

Q: Evaluate: fevdx. @ -2ev(/x+1)+ Cc A ® =2ev(/x-1)+ c 2ev(/x +1) + C 2ev(x-1) D +C 2

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Q: dæ Evaluate: a/9x2 + 4

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Q: 1. Determine the interval in which the unique solution of the initial value problem exists. (You do…

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Q: S "sin(em sin-3) dx – cos( sin-!x) + C 1-x2 A True B) False

A: SOLUTION-

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos*(x) for x = 0.125 and y =…

A: The given fuction,  F(x)=sin3x cos4x

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A: We can write the given expression as integration of 1/((x-4)(x-1))dx .then using partial fraction…

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x +…

A: Mean Value Theorem: If f is a continuous function on [a,b] and differentiable on (a,b). Then there…

Q: Match the answer please

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Q: To evaluate y-csc²(y³)cor²(y³)dy, we let u =cse (v³) A True B) False | csch2zdz =-In|csch2z –…

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