A (x -3) dy X +y -.

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A: Logx is define for all positive x.

Q: Sing Rolle's theorêm for the following function, find all values c in the gi here f' (c) = 0. If…

A: Given query is to find the value value of c.

Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

A: ∫ (6x-8)dx/(x2 +2x+2) ∫ (6x-8)dx/(x2 +2x+ 1 +1) ∫ (6x-8)dx/((x+1)2 +1) ∫ (3(2x+2) - 14)dx/((x+1)2…

Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

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Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: 13 dx 12

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Q: <O<T. (Show all work separately and submit on HuskyCT immediately after submitting yokr answers) 3.…

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Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

A: Inverse laplace transform of 3s+4s-2s2+7

Q: Solve for gb and gc. g(b, c) = (b - c) / (b + c)

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Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

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

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Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

A: We have to find the solution of the given differential equation.

Q: The dimensIons of awater tank are 13 cm, 10 cm and 70cm. If it is half-filled with water, cal-…

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Q: Compute the derivative of each function. f (x) = e³x* += (cscx + sec x)² %3D %3D

A: Follow the procedure given below.

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!+...

Q: Find the area of the region. 1 y x2 – 2x + 5 y 0.4 0.3 0.2 -2 -1 1 2 3 4

A: It can be solved using integration.

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

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Q: 2.) Find the area between the curves y? = 2x and y 6-x

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Solving

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 is a line. Find the slope and the y-intercept of…

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Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: x2 +x+1 3. dx. Use partial fractions. 2x2 +2+x+x

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Q: Find the general or particular solution, as indicated, for the following differential equation. dy -…

A: dydx=-0.4 ydyy=-0.4 dxvariable separable;∫ dyy=-0.4∫ dxln y =-0.4 x + ln cy=c e-0.4 x

Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

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Q: Whale and Kanmuro are two islands located in the Chimera archipelago. These two are separated by a…

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Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

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Q: ey+y°.

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Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

A: The objective of the question is computing the value of f(n).

Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

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Q: *00 dl 6. 3. 2. 4. 24 %23 8. & HE OAC = (9 + )4 Answer Let h(x) = Vx + 5. Find the function glven…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: 1. give the equivalent cartesian coordinates of ρ = π

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

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: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

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Q: b) Evaluate the following integral by using the polar coordinates R where Ris the enclosed region by…

A: solve the double integration

Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

Q: 3) consider the regionnin the second quadrant betueer the circles x?+yZ=4andx2+y2=25, and above the…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: 'he graph of a periodic function f is shown below. f(4) 4 \1.57 3.14 4.71 6.28 a. What is the period…

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Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…