Find the exponential function y = Cekt that passes through the two given points. y (0, 7) 5 4 3 2- (8, 1/2) 1 2 4 5 6 7 8 9. 3.

Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

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A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: s2x²-x²+ x+2 A dx find A + B+C+D• X +1 Consider dx = x4 + x3 3. 2 4 O O o o

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Q: dx Vx²+2x+5

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Q: Given : S 6x³e**3 dx. Using integration by parts (S udv = uv – dv = 3g(x)dx find h(x) if ſ vdu =…

A: Let's find.

Q: Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0…

A: Solution is given below:

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: clear

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Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: | 10re", | 2:r3 + 3x² – 12x, r>0 * <0 Given: f(r) = (a) Identify all critical numbers of f. (b)…

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Q: Convert the polar coordinates (3, 2) to Cartesian coordinates. (3, 0) (0, 3)

A: Given: (3,2)

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Q: If L{f(t)} = F(s) then df -f(0) + sF(s) dt d² dt2 - f'(0) – sf(0) + s²F(s)

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Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

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Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: Sketch the region whose area is represented by the integral Só Suz dxdy.

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Q: Q.3 - Evaluate |sec xtan.x dx.

A: As we know that ∫sextanxdx=secx+Cand dsecxdx=sectanx

Q: Compute the determinant of 11. 0260 0 0 3 7 8 00 4 Answer: enter number

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Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: Graph of the given fucntions

Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: What is the minimal degree Taylor polynomial about z = 0 that you need to calculate sin(1) to 3…

A: Now, the series of sin (x) is: sin x=x-x33!+x55!-x77!+...sin (1)=1-13!+15!-17!+...

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Q: 2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x) B + x-5 C E dx (x +…

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Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

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Q: (1 + 2x)e*dx, Using integration by parts and letting Given: u= -1 - 2x, dv = f (x) dx, then the…

A: The given integral,     ∫0∞1+2xex dx

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) y' = 10VX y…

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Q: 3 3. Vxydydx Vxdx Vydy Select one: True O False

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Q: D A Find thepolar eavation for the cartesian curve (x²ty) - A)r-4 cos o =4x. Br°=4 cos e c)r?=4cos o…

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Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Find the limit or explain why the limit does not exist: x2 + 3x lim sin x Note: x is measured in…

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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