/12. É (sin *xcosx+ sin xcos.x) dx

Q: Below is a graph of f' (x), the derivative of f(x). A B D E F When is: f(x) greatest? f(x) least? f…

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Q: 4. , kr+2{cd= -3

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Q: Sketch the region enclosed by y 6x and 4x. Find the area of the region.

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V1, Vị + V2,…

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Q: Express the area of the region bounded by the given line and parabola as an iterated double…

A: The equation of the line and the parabola are: C1: y = x2…

Q: n(x) = -0.16(x – 92)+ + (x – 92) – 25.112 14 o(x) = -4.3 tan(0.3(x – 96.4))–29.3 15 p(x) = -1.4 log,…

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Q: 7. Give one example a that makes log, (x) rational but not an integer

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Q: 2. sin 2wcos 2wdw

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Q: x* +x? 5. lim, +* e* +1 In x 6. lim, csc(6x) csc(2x) 7. lim 5x+ 2lnx 8. lim, X+3lnx 2Tan 'x-x 9.…

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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

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Q: If f(x) = V19+r² dt , find f'(3).

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Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: The increase cost is given by: ∫450720C'(x) dx=∫450720300-x3 dx

Q: Evaluate the definite integral. Write your answer in terms of . (y +1) dy

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Question 1 Give an integer a E Z which makes the following equality true for y = x". 7 log.ry (y) 8…

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Q: Express py? dA as an iterated integral in the order dydr, where R is the region in the ry-plane…

A: Integral

Q: dy Solve the separable differential equation dt t t?y + y Use the following initial condition: y(0)…

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Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

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Q: Solve the following IVP: X' = AX + f(t), where 4- (; 7) 5 -3 1 1 and () 4 X(0) 2 f(t) = -3et e3t

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Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

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Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

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Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

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Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

Q: Find the indefinite integral by using the substitution x = 8 tan(0). (Use C for the constant of…

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Q: EXAMPLE 3 Evaluate the following integral. VI- 4.r2 SOLUTION Let u = 1 - 4x². Then du %3D , SO xdx =…

A: We can solve as follows

Q: 2 Write down the time measurements on the following correct to the nearest second gue stop b. C. 60…

A: Stop watch

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: ∫tndt = t(n+1)/(n+1) +C ,C is a constant and for any real number n. d/dt (tn)= nt(n-1) , for any…

Q: Determine wnetner the function Isa linear transrormation. T: R2 - R³, T(x, y) = (x², 3xy, 2y²)…

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Q: þr+2|dx -3

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Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: 0.4x Find the area between the curves y = e and y 1.9x + 1 from x = 0 to x = 3. Area =

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Q: Solve the initial value problem. x'(t) -x = 1; x(0) = 3

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Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: dx (r-1)%

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Q: 10 8 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx =5. (A) True B) False

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Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…

Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: L( +3x – 4)dx

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