Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0, oriented toward the rz-plane. flux =

Q: 1100 462 The model for this set of velocity data is given by v(t) -0.03t . Calculating the instantan...

A: Given query is to find the instantaneous acceleration from the velocity.

Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i ...

Q: 7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

A: Given DE is y''=2y+xand the general solution is yx=-x3-14+C1e2xand given condition is y1=14find C1

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: x² – 1 if x 5 | Given: f(x) = %3D 3

A:

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36 s...

A: Topic = Area Area = 36 s.u.

Q: A bulletin board can be covered completely by 36 squste pieces of prater without any gaps or overlap...

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Q: A. Evaluate the following integrals by substitution. 1. Sx(2x? + 3)®dx

A: Put (2x2+3)= t  Differentiating both sides  4x dx= dt    

Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Write the range in interval notation. Represent the gap with a "U". Find lim (secx) Find lim (secx)

A: We will graph the function and find out the range. 

Q: Tuition cost, T(in dollars) for part-time students at Stonewall College is given by T = 300 + 200C ,...

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Q: 16x2 - 25 -da Evaluate the integral: 23 (A) Which trig substitution is correct for this integral? O ...

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Q: Consider the graph of f. y 4 3 1 1 2 2 3 4 5 6 7 8 9

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Q: Regarding y as the independent variable and æ as the dependent variable, find the- y* + 5x²y² + 4yxª...

A: Given: - The curve is,y4+5x2y2+4yx4-2y=83 at the point (2,1) To find: - The slope of the tangent lin...

Q: LINEAR DIFFERENTIAL EOQUATION WITH CONSTANT COEFFICIENT (STEP BY STEP SOLUTION) d2x dx 3x = -9t² – 1...

A: The given differential equation is; 2d2x/dt2 - 5dx/dt -3x =-9t2-1. t=0,x=1,dx/dt=0.

Q: (a)Odd degree polynomial functions have opposite________ .  (b) When we multiply two functions toge...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Breble Find the volume of the solid whose base is the region inside the unit circle x2 + y? = 1, and...

A: We need to find volume.

Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...

A: The graph of the equation f(x) is given , find the graph of  1) g(x)= -f(x)  2) g(x)= f(x)-3 .

Q: A penny of 0.75 inches in diameter is randomly dropped 100 times on a customized Go board. It inters...

A: Diameter of penny = 0.75 inches Probability of intersect of lines = 70100 probability on not interse...

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find th...

Q: Test the series below for convergence using the ratio test. n+ 2 24n +1 n=1 The limit of the ratio t...

A: Given: ∑n=1∞ n+224n+1where f(n)= n+224n+1Ratio test : l=limn→∞ an+1anif l<1 then the series is co...

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: 13. S S(x)dx = 5, f(x)dx = 2, and f f(x) dx = -1, find f(x)dx. If %3D а. —2 b. 2 С. —3 d. 3

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time mad...

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

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Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution ...

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Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22 ft...

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Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: Y= --+ C1e2* general solution to the DE y"=2y+x Find C1 with the given + Cle2x 3 condition y (1) =1/...

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Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...

Q: For the following initial value problem, find the general solution, express the arbitrary constant C...

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Q: Sx V1 – x² dx 3.

A:

Q: The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is g...

A: Note that:-Velocity of a particle is given by differentiating distance d(t) with respect to (w.r.t) ...

Q: if x < 0 if 0 < x < 1 -x² + 4x – 2 if 1 < x < 3 . Find lim f (x). if x 2 3 Given: f(x) = • %3D x-3 4...

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Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

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Q: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

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Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

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Q: Given the series: ΣΗ 1 k +1 does this series converge or diverge? O diverges O converges If the seri...

A: Terms of a telescoping series will cancel each other except 2 terms in the series.

Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

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Q: Hannah buys 2 dozen roses. Of these roses, are red, and the rest are white. How many white roses doe...

A: We need to find number of white roses.

Q: - 5(x – 9)(x + 8). Which of the following are true? Select all that apply. b. Suppose f(x) = - OAs x...

A: b) f(x)=-5x-9x+8c) f(x)=6500-x3

Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: In Problems 17-34, find f' (x) and simplify. 17 fl .. 10 T U.2x, -2X 5. J(x) = 6e¯ 26. flr 28 (4+ 3)...

A:

Q: The relative maximum value of y occurs when y' = 0. Approximate the value of x where the relative ma...

A: To Find: Using Newton-Raphson approximate the value of x where the relative maximum value of y is at...

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

A: