Write an equation for a sphere centered at the point (-1,2,3) with radius 8.

Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and...

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Q: Evaluate 3x*–17x²+36z-35 d 1-4z+4 a. 클2-5r-4ln lln-21+ +C O b. 클23-5z + 4ln lin-21+ +C 클고고 + 5z + 4l...

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Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Compute the average value of the following function over the region R. f(x,y) = 3 e Y; R= {(x,y): 0<...

A: We have to find average value of a function    f(x, y) over a region R  Where   f(x, y) = 3e-y  and ...

Q: cot 2x dx J Vcot2x – 15 cot²2x

A: Here we have to evaluate I=∫cot2xcot22x-15dx

Q: Determine f(x) so that | cos(In?x) f (x) dx = sin(In?x) + C

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: u+1 Using u-substitution, the integral Sf(x)dx reduces to a new integral S g(u)du. If g(u) evaluate ...

A: We have given ∫g(u)duwhere g(u)=u+1u  

Q: Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting integra...

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Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

A: Given query is to find the derivative of the expression.

Q: m2+2m Consider f dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+...

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Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x ...

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Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. x(1+Vx) D...

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Q: III Find the following: (Show your solution) Given: I미 = 35 |AN B| = 6 |AN Bn C| = 2 |A| = 15 |An C|...

A: Given that:  U=35, A=15, B=15, C=14, A∩B=6, A∩C=6, B∩C=5, A∩B∩C=2 We have to find: 1. A∩B∩C¯2. A∩B¯∪...

Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given Series ∑k=1∞ 1kk+2  

Q: Determine Linear Functions Directions: Determine which functions are linear and then drag each into ...

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Q: 8. Let /(x) -x +x + 1 and g(xr)-x-3. Find the following new functions. サー メェx-』 ( 3. f subtract WOLE...

A: As per bartleby guideline I can solve only one question.(8) if you want other solution pls reupload.

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine...

A: For the solution follow the next step.

Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

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Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

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Q: Determine whether the series converges. k=1 The series

A: Ratio Test : Suppose ∑ak be an positive term series and                         limk→∞ ak+1ak =L , t...

Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

Q: Consider S dx and using u-substitution in rewriting the integrand as a function of u and du. Determi...

A: topic - indefinite integral

Q: Let s- dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f( er+1 3 A n ...

A: Given query is to find the value of f(3).

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: du Compute f CSC X u = f(x), then dx sin x – cos x 2 -

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: x + + x -x %3D B.s (9 C-スり(E-メ) E-トE-*ェX S. Let /(x)=x +x+1 and g(x) x-3. Find the following new fun...

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Q: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =? .....

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Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN ...

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Q: dx O arcsin(x' ) + C O arctan(x*) + C 8 O arcsin(x³ ) + C O arctan(x') + C O arcsin(x ) + C

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Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

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Q: Using the limit comparison test the appropriate b, that is used to make the series E In(n) converges...

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Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x, f...

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Q: (y² + x²y + 2x)dx + (x³ + xv+ 1)dy= 0; y(2) = -3 %3D

A: Given: y2+x2y+2xdx+x3+xy+1dy=0, y2=-3 We have to find the particular solution.

Q: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand? cos...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 6-x Solve the rational inequality x<- Problem 3. 2x-5 Leave your answer in interval notation.

A: Topic = Inequality

Q: Problem 4. Find all real zeros of P(x) = 3x-5x'-16x +7x+15 using the techniques we discussed in clas...

A: We solve this question with the help Rational root test.

Q: 2:(y-x² )dx+ dy =0 1.

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Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: 9 Evaluate xp.

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Q: Determine f(x) so that cos(In x) f(x) dx = sin(In²x) + C

A: Option B

Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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