Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: Question Find the equation of the tangent line to f- at the point P(-2, 1) for f(x) = x – 4x4 + 1. P...

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Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

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Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: 5. y- Br*-+습

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Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b) ...

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Q: Question 7 Find the volume generated if the region enclosed by y = x? and the line y = 2x is revolve...

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + x...

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Q: Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Pro...

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Q: TC If f(x) =, then f tan x II

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

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

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

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

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/...

A: Let the radius of the sphere is r then given drdt=4 mm/secand diameter is 2r=40 mm

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

Q: -K-t K(1+8)

A: Please see the answer below.

Q: The equation gives the position s = f(t) of a body moving on a coordinate line (s in %3D meters, t i...

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x2 + 5x at x = 2. y = 1...

A: A detailed solution is given below

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

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Q: Find aw/as and aw/Ət using the appropriate Chain Rule. Function Values w = sin(5x + 6y) x = s + t, y...

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Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: Ge Given revenue and cost functions R(q) = 70q - 0.4q and C(g) = 14q + 550, find the maximum revenue...

A: Given problem:- Given revenue and cost functions R(q) = 70q -0.4q² and C(q)= 14q+550, find the maxim...

Q: 20x² Evaluate the integral: -dx V64 – 72 (A) Which trig substitution is correct for this integral? 8...

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Q: If   C(t)=55te^−0.2t measures the​ concentration, in ngml​, of a drug in a​ person's system t hour...

A: If   C(t)=55te^−0.2t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours ...

Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: What is an improper fraction and a mixed number?

A: What is an improper fraction and a mixed number?

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

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Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) ...

A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→a+f(x)

Q: x"(t) + 9x(t) = 5sin (2t) when t = 0, x = 3,x' = 1

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Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost...

Q: The doubling period of a bacterial population is 15 minutes. At time t=110 minutes, the bacterial po...

A: The exponential growth of a bacterial population is given by, A=A0ert, A0 is the initial population ...

Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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Q: sin x 16 y = e* + cos x solves y' = cOs x + y

A: we have to verify the solution.

Q: ) Find the indetinite întegrel. 8, Inede

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Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

Q: Previous question If C(t) = 79.5t e -0.13t ng of a drug in a person's system t hours after the drug ...

A: We will find the rate if change of drug administered.