Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

Q: Find the derivatives of the following Trigonometric Functions AND Inverse Trigonometric Functions: 9...

A: Let's find. 

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)* Σ k=I V...

A: The given series,       ∑k=1∞(-1)k6k(k+1)

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Q: Question 6 *| Let r(t) = 5i +*j-²k. Find the tangential component of acceleration (ar) of r at time ...

A: Here is solution

Q: dy (x+2)² x² - 4 2y dx'x -4

A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

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A: topic - slope of the curve

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8...

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Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: 3-8 Use the Chain Rule to find dz/dt or dw/dt. 3. z = xy – x'y, x=t + 1, y =t - 1

A: 3) Given:        z=xy3-x2y where x=t2+1 and y=t2-1 substituting x and y values in z     z=t2+1t2-13-...

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: The decay rate, k, for a particular radioactive element is 1.9%, where time is measured in years. Fi...

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Q: d²y 1. 5 dx - 6y = 0 y(0) = 2; y'(0) = 4 - %| dx² d²x(t) 2. ·+ w?x(t) = 0 dt2 x(0) = A; x'(0) = vo %...

A: I am attaching image so that you understand each and every step.  

Q: (Don't forget to include the constant of da x + 3 antidifferentiation C) Evaluate

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Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the stan...

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0

Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: e the ratio test to determine whether the series converges or diverges. If the test is inconclusive,...

A: Topic:- series convergence test

Q: Given the graph of the cosine function f(2)3 cos z, evaluate the following limits: 1. lim cos r 2. l...

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Q: S 3x f"(x) dx 48 42 36 NONE OF THE CHOICES о

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Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a possible ズ→C functi...

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Q: 3. Find the equations of normal of the curve y = 2x- x-at (2, 0). Oa. 2x +y = 4 b. 2x - y = 2 C. X- ...

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² %3D Select one: True O False d/dx(xe2X) = 2xe...

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Q: How close to -2 do we have to take x so that the following is satisfied? (Give the largest possible ...

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Q: The decay rate, k, for a particular radioactive element is 2.4%, where time is measured in years. Fi...

A: Given k = 2.4%   Use formula N(at t ) = N(intial)e^(kt)

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Q: Determine which of the following are ordinary differential equations and which are partial different...

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Q: What is the exact value of Cos- 4 ?

A: We will find the value of cos(-5π4) .Below find the solution in the image.

Q: Use the Integral Test to determine whether the infinite series is convergent. -n² 16ne n=4 Fill in t...

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Q: If f(r) 6 sin (), find f (x). Find f'(0.6).

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Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et; x>...

Q: Find the equations of normal of the curve y = 2x-x-at (2, 0).

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Q: (OS B 1- tane 1-cotb

A: Given :∫cosθ1-tanθ+sinθ1-cotθdθ  

Q: 3. Use the Intermediate Value Theorem to show that f(a) = a2-3x +1 has at least one real zero betwee...

A: According to intermediate value theorem, if f(x) is a continuous function whose domains contains the...

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Q: At sues pizza they sell a large pizza for $8.25 and charge $1.50 for each topping. write an equation...

A: We can find and justify the answer as below.

Q: E. Perform the indicated operation given the following function. f(x) = 1– 2x g(x) = -x² + 3x h(x) =...

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Q: Evaluate the following integral: 7 dx = 团+C 2 V2 – - 49 – 49 Note that an arbitrary constant has bee...

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Q: (e*+ y)dx + ( 2+ x + ye )dy =0

A: Given, (ex+y)dx+(2+x+yey)dy=0 expand the terms to get the solution Note: xdy+ydx = d(xy)

Q: Select all statements that are true. If f is continuous everywhere except at x = 0, then lim t→0- | ...

A: This is a question related series calculations. If it leads to the particular value then it is conve...

Q: Solve the given differential equation. x2y" + 13xy' + 36y = 0 y(x) = ,x > 0

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Q: 5. z - sin x cos y, x- Vi, y- 1/t

A: If z=f(x,y) and x=g(t) , y=h(t)  then dzdt =∂z∂xdxdt+∂z∂ydydt.

Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and arc...

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Q: y = tan-x +1

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Q: - 8x +16 lim メ→4 x* - 8x + 16 2-x

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Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula...

Q: Е. 46.-50 Given the function g and asked to estimate lim g(z), three students created tables. Each t...

A: The person A has used the most closest values of x to 0. So, it is the best approach because we can ...