Find the derivative ( of the following functions dx a.y = (4x² - 1)(7x³ + x) b.y = e²x cos x sin x c.y = x²

Q: Find the area of the part of the plane 3x + 2y + z = 6 that lies in the first octant. Step 1 The…

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Q: Use the following function to answer the questions below: below: 904) = (2+³ - ²)1/5 g(t) (a) Find g…

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Q: Use the graph of f(x) to answer the questions below. f (x)] 2 B (a) Questions about f'(x). C Use the…

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Q: A rectangular storage container is to have a volume of 20 m3. The ends of the container must be…

A: Volume of box = 20 m3 The ends of the container must be square. Material for the base costs $12 per…

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: ∫24(9-x2)dx,    n=4

Q: a

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Q: Use partial fractions to find the integral f 17a-149 2-17+70 dr. O 10x + 70 ln 7-z|+7+70 In 10-x|+C…

A: I=∫17x-149x2-17x+70dx

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Find 3e dx f3e³ + C

A: ∫3exdx: Here taking constant out.   ∫afxdx=a·∫fxdx      =3∫exdx

Q: Write the e-system obtained via slack variables for the given linear programming problem. Maximize P…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 60. y = (x² + 1)" (24+7)(2z+1)7 8

A: Formula used log( x )y = ylogx log( xy ) = log( x ) + log( y ) log( xy ) = logx - logy

Q: Evaluate the given integral by changing to polar coordinates. dA where D is the region bounded by…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(2, 3, 2),…

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Q: A chemist, running tests on an unknown sample from an illegal waste dump, isolates 61 grams of what…

A: Given: Initial amount=61g Final amount=12g  Time=66days

Q: Evaluate the definite integral. 3 f √3x + 16 dx

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Q: Find the linear approximation to the equation f(x, y) = 3 ln(x² - y) at the point (1,0,0), and use…

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Q: Evaluate cot (arccos()). Give your answer in exact form (no decimal equivalents).

A: let   cot(arccos(49))=x

Q: (a) Find symmetric equations for the line that passes through the point (2, -2, 7) and is parallel…

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Q: An orchard finds that if they plant 95 trees per acre, each tree will yield 40 bushels of fruit.…

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Q: 16. y = 2x√x² - 2x + 2

A: y=2xx2-2x+2

Q: Find the curvature of the curve r(t) = (3 cos (5t), 3 sin(5t), 4t) at the point t = 0 Give your…

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Q: 20) Find the function f(x) if f'(x) = 2x³ +1 and f(2)=4

A: given f'(x)=2x3+1 and f(2)=4

Q: ∞ n=1 1 2 8+n?

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Q: If a = i - 9k and b =j+ k, find a x b. 9i - j Need Help? Read It

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Q: Find the derivative of the function. y = In(²x + 8)

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Q: A log is seen floating down a river. The log is first spotted 25 feet away. 5 minutes later the log…

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Q: 9 Find equations of all lines having slope - 1 that are tangent to the curve y = x+8 Select the…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Consider

Q: Solve the initial value problem. y'+xy=x , y(0)=1

A: Given data y'+xy=x , y(0)=1

Q: (a) In each case, determine if the method of substitution is appropriate in order to evaluate the…

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Q: 3. Find f'(x). 2 f(x) = In x + 3e - 2x

A: given,  f(x)=lnx+3ex-2x2

Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

Q: Suppose f(x)dx= -6,f(x)dx=5, and 2 7 2 7 f7g(x) 2 g(x)dx= 7 (Simplify your answer.) 2 7 (Simplify…

A: ∫24f(x)dx=-6∫27f(x)dx=5∫27g(x)dx=5

Q: Consider the function f(x) www x² - 2x - 3 x + 5 a. Find the first derivative. f'(x) = b. List any…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 2.) Find a general set of solution vectors of x'1=-5x2 x'2=x1+3x2

A: To find the general solution of a system of linear differential equations, follow these steps: 1.…

Q: 1. A population of a community of foxes is observed to fluctuate on a 10 year cycle due to…

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Q: [9-R] [CLO 7] Let z = 4 − 3i be a complex number. Determine zz.

A: given z=4-3i be a complex number

Q: Find the tangent plane to the equation z = 6y cos(5x - 2y) at the point (2, 5, 30).

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Q: A nonhomogeneous y"' +9y' +14y=28x² + 36x +4+24e*, Yp(x) = x + 2x² equation and a particular…

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Q: Find all second-order partial derivatives for the following function. f(x, y) = 4x² - 2xy + 6y² - 10

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Q: Boyle's Law expresses the relationship between the pressure, P, and the volume, V, of a gas under…

A: Need to write down the equation that relates the rate of change of pressure and volume with respect…

Q: Show that ∞ Σ n=1 3 n' +1 3 diverges using the Integral Test.

A: As you posted multiple questions I need to solve only one question.

Q: The salinity of ocean water changes depending on how deep you are in the water when you measure it.…

A: From the given table

Q: 3-9-34

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Q: 3. Find the volume of the figure formed by rotating the region bound by y=sinx, x=0, x=л and y=0…

A: Solving the problem.

Q: Differentiate: f(x) f'(x) || = In ( 22²2 + 2) x³

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Q: Use the change-of-base formula to find the logarithm to four decimal places. log1/5 5

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Q: Find an equation of the largest sphere with center (3, 2, 4) that is contained in the first octant.…

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Q: Determine the period of the graph of f(x) = -2tan(x) + 3 ㅇ플 ○ 2 O 1 20 2

A: given,  f(x)=-2tan(π2x)+3

Q: insider the solid obtained by rotating the region bounded by the given curves about the y-axis. 1²…

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