Use implicit differentiation to determine given the equation ay + cos(x) = e". dy dz dy y+sin(z) dz I

Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

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Q: 3. Sy'edy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1 dx -1 1+ 3x²

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

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Q: Find the area between the curves. x= - 5, x = 3, y = 2x2 + 12. y = 0 The area between the curves is…

A: Given :y=2x2+12x=-5 to x=3

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

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Q: cot X dy Cos X Sinx

A: To solve the given differential equation.

Q: e2z dx 4e2a – 8ez + 5

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Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: Verify if y = 2eX + x - 1 solves v' = x -v |

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: 2 + In? x -dx x(1 – In x)2

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Q: A slope field is shown for which of the following differential equations? 5 y -2 -1 = ex dx O dy dx…

A: Solution: Given data, According to the given options generate the slope filed .

Q: In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

A: Given

Q: Use n= 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: The given integral is 5/x2 limit from 1 to 4.

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: 4. For the following motion equations = 2t° - 15t + 36t – 22, t>0 a. Find the velocity and…

A: A detailed solution is given below.

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3

A: Given query is to find the value of c.

Q: SS, x?/9 – y2 dA; Ris the region bounded by the circle x² + y? = 9. R

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Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

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Q: 14 V1+ 7x dx

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Q: Find the cost function for the marginal cost function. 0.05x. C'(x) = 0.03 e fixed cost is S10 C(x)…

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Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: do sed Form ( Formula) tor the eacn part, tind a nth 1- In partial Sum OF the series and determine…

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Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: B. Let G be a group of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Given :G be a group of oder 60

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: The two paraboloids z = x2 + y? – 1 and z =1 – x2 - y? meet in xy-plane along the circle x2 + y = 1.…

A: Topic: Representation of volume as triple integral

Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: sin(4z) 7. lim I-0

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Q: Evaluate the integral: T So sin(x)dx

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Q: y2+x2 5- y' %3D y(1) = -2 xy

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