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Q: The most appropriate method to solve the differential equation y + x2 - 4 =0 is dx А Bernoulli's equ...

A: Given differential equation can be solved by using variable separable only.

Q: dx -(xvr -1)

A: Topic = Definite Integration 

Q: 6. Given the area in the first quadrant bounded by x? = 8y, the line x =4 and the x-axis. What is th...

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Q: Find the following limits.  limx->+infinity (sin2x)/(x2+1) limx->+infinity (e-2x cosx) limx->+inf...

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Q: Find the point or points on the curve y - 4x² 20 that is closest to (4, 0). The point is (Enter your...

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Q: use the bernoulli's equation for question 1

A: In this question we have to solve the Bernoulli Equation.

Q: A. Reduce eachof the following equations of hyperbolas in standard form. 1.) 4x² – y² +2y - 5=0 2.) ...

A: To write the given equation of a hyperbola in its standard form.

Q: 62 - 213 10 6 12 + 2 V3

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Q: x+ dx sin? 2

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Q: dy -10 cos(z) Find for the function y dx dy dx

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Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem 

Q: Taking each column of the matrix as a vector, the linear combinations of these column vectors form a...

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Q: Perform. the operatben 0 possible; AxB not A= B= 2 0 3 3 4)

A: The given matricesA=221-1 and B=12-103-4

Q: The radius of a spherical balloon is increasing at the rate of 0.4 cm/ minute. How fast is when the ...

A: Given: The radius of spherical balloon is increasing at the rate  0.4 cm/min To find the volume incr...

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1 (Hin...

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k  

Q: xdy -ydx =(xy)^1/2 dx

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Q: Solve the given differential equation. (4z'y – 2ay) da + (3x*y² – 3.3 - 2æy) dx + (3x*y? x²) dy = 0 ...

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Q: dy If y arcsin (e), dx

A: Here we have to find dy/dx of given function.

Q: 5) Differentiate the function and simplify your answer as much as possible. Do not forget to show al...

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Q: Question no 2: write a system of linear equation representing any physical phenomena 7x, + 6x, + 3x,...

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Q: Find the inverses of y=(1-e-x)/(1+e-x).

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Q: uestion 4 8:55:32 he demand function for some cosmetic product is given by p= D(2) ='/10,000 - 0.01r...

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are re...

A: In this question, we need to find the current rate of change of sales per week.

Q: Find the gradient of f at the indicated point. (뜰이) f (x, y) = 9 sin x² + cos 4y; 2 NOTE: Give your ...

A: Topic = vector 

Q: Find the differential equation of all family of straight lines at a fixed distance p from the origin...

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Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

A: Graph of the cylinder. You can assume that the the elliptical like shape is above the given figure w...

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: Refer to the graph of f shown in the following figure. 6. 5- 4- 3- 2- 1- 1 3 4 5 8 9 10 11 12 (a) Fi...

A: Observe the slope of given function from starting to ending. If the slope is increasing, then it is ...

Q: z=9-2x +4y-x -4y² 4. The expressions for and are

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Q: t 8 t Find T, N, and k for the space curve r(t) = 7i+j, t> 0.

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Q: Find the Taylor series generated by f at x = a. f(x) = cos (2x + 2r), a = 3r / 4 ..... Choose the co...

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Q: 1. Applying the definition of derivative, a. find dy/dx in each of the following: 1 a. 1] y = - x² –...

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Q: Find the equation of the tangent line to the curve y = x* + 6e* at the point (0, 6). y =

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Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (a) Whe...

A: The graph of position functions are given where , s→position of particle and t→time in seconds

Q: Three regions are defined in the figure. y C (0, 5 ) B (1,5 ) R2 p = 5 Vx R1 y = 5 x А (1,0) Find th...

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Q: Compute the determinant of the matrix 2 1 0 0 0 1 1 0 0 1 1

A: Given Matrix λ1000λ1000λ1001λ Its determinant λ1000λ1000λ1001λ  

Q: *press equals (- h(x) = x+ 1 p(æ) = Va t(x): %3D 6. Submit Answer + 1 x+1 6. 6. O Ja+1 +1 Privacy Po...

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Q: 4. Solve the given differential equation. 3xvdv + (2v² – 1)dx = 0 - (2v² – 1)° = Ca+ (2v² – 1)*x O (...

A: We have to find

Q: Suppose y sin? x + 2sin a, Find dy/dx. Answer:

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Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

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Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate w.r.t.xdydx=7e5xddx(ln(5x+2)-(ln(5x+2)ddx(7e5x)(7e5x)2dydx=7e5x55x+...

Q: Let f(x) = (x – 1)² + 4x – 3. Find its critical - number and critical value. If the function has no ...

A: We have to find

Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

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Q: Given the three function below, which expression equals (t o f om)(x)? f(x) = Va + 7 m(x) = 8 |a| t(...

A: Option C

Q: е. f(t)=esint

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Q: Find the Maclaurin series for f(x) = 3 e -X. What is the Maclaurin series of f(x) = 3 e ¯×?

A: Solution: The Taylor series (Maclaurin) of function f(x) at a is defined as: f(x)=f(a)+f'(a)1!+(x-a)...

Q: 5. Solve the IVP: 2 y' +=y = -x°ys; y(-1) = 2 A. 16 = y*(32x10 – 31x®) B. 16 = y*(32x10 + 31x®) C. 1...

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Q: 6x+2 1. Evaluate I -dx by partial fraction. (x² -1)(x+3)

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Q: Find parametric equations for the normal line to the surfacez=-7x2 -9y2   at the point  (2,1,-37)

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Q: Find the Maclaurin series of the function. f(x) = 7 cos 3rx

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