Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: x2 22-23. Find the derivative: y = x-11 22x A) (xー11)? B) (x-11)2 x2-22x C) (xー11)? x²+22x D)…

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Q: Solve the following problems. Write the correct unit and box your final answer. Topic: Applications…

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Q: Which of the following is correct? " 17 3 (3 sinh-(x)) = (coth"(x) = (지 < 1) V - 1 dx Option 1…

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Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. af and Or 1, 0 = 6 Find -when r

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Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

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Q: 2. Evaluate xy(z + 2) dx dy dz

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Q: 4) (1, 150°) 90° 120° 60° 150° 30° 180° 2 210° 330 240° 300° 270° 4.

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Q: 5. Find an expression for y4) if y =e-'sin t.

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Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x

Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: To determine the area of the region bounded by x = y^2 - y - 6 and x = 2y + 4, first we have to…

A: find the area between curve

Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

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Q: Find the first derivative of * An(In(In x)) 1 x In x (x In(In x)) In x In(In x) Option 2 Option 4 1…

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Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: Find the equation of the parabola with the given properties Vertex (0,0), focus (5, 0). = x

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Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: x² – 2 (x + 2)(x + 1)² 1 + x + 2 x + 2 (x + 1)? x + 1 (x + 1)² Option 1 Option 2 1 1 2 1 x + 2 x +1…

A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: 4. It is estimated that x months from now, the population of a certain town will be changing at a…

A: First we will integrate p'(x) to find the function p(x) and then we will find the population 27 from…

Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

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Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: Find the Laplace Transform of the following using the definition via integration: F(t) = 5 sin 3t

A: Lf(t)=∫0∞e-st f(t) dt          =∫0∞e-st 5 sin3t dtIntegration by parts;I=5 ∫0∞e-st sin3t dt…

Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: L fx, y, z) ds. Evaluate f(x, y) = 9y – x S: r(u, v) = cos(u)i + sin(u)j + vk Osus", 0 svs1

A: We have to evaluate the integral.

Q: Suppose f(x, y) = xy² + 4. Compute the following values:

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: Moshe has 100 shares in the company that manufactures the coffee machines. The current market price…

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Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: f(x) = 2x2 +1

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Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

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Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: DO NOT include spaces in between characters. * The point (3,2)is is on a curve, and at any point (X,…

A: The slope of the tangent at any point (x,y) on the curve y=f(x) is dydx(x,y)

Q: x dx 1o. 8 x-X

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Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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Q: 15. Differentiate 4y³ with respect to x. A) 12y? B) 12y C) 12y2 dy D) 4y2 dy dx dx 16-17. Find the…

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Q: Integrate using Partial Fraction Decompositio

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Q: 2r³ – 4x² – x – 3 dx x² – 2x – 3 in |x + 1|+ 3 In|x – 3| + C in Ix + 1|- 3 Inlx – 3| + C Option 1…

A: Given

Q: TE THE FOLLOWING (x5- 2x3-2x)dx x²+ 10

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