Which of the following are exponential functions? Select all that apply.

Q: ng If C(t) = 62.5t e -0.19t , of a drug in a person's system t hours after the drug is administered,...

A: Given problem:- If C(t) = 62.5te-0.19t measures the concentration, in ng/ml of a drug in a person's ...

Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector o...

A: We have to find the normal vectors of the given planes.

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

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: 5. y = xArctanx - In V1+x

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Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

Q: Write the interpolating polynomial f(x) that passes through the points: 2 4 y 3 4 10 1 (a) Write the...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the c...

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Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two deci...

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

Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

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Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: The integral cosx -e sinx teSinx + dy may be written as mensinx pr t gerx C, where m, n, p, q, r, an...

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Q: A population P obeys the logistic model. It satisfies the equation dP 7 P(5 – P) for P > 0. 500 dt (...

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Q: d --x" + -xP +C. a The general antiderivative of (3x2– 4) 2x2 can be written as - m What is the valu...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help? ...

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide yo...

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Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A: We have to find the solution set for the following equations using guass Jordon method.

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: The resulting integral of sin-cos- sin@ do has the form -F(0) +C• What should be the value of o to m...

A: Integration

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: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

Q: 2+x 9 y = Arctan(- 1-2x

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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: S- 10 -dx may be written as Aln secB* + tanB" +C. where A, B, and C are constants not equal to zero....

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Q: Use the Integral Test to determine if the serie 1 Σ (n+ 2)°/¾ n=1 converges or diverges.

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

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Q: in(cseg + cotsde 5. 2

A: Use simple integration formula.

Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

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: The Series - 3. ハニ1 A) Diverges by the Direst compurisont

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Find the centroid of the region shown in the figure. 1 1

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Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2 ...

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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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: Solve the differential equation by using integrating factors. xy' = 3y + x2

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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. 

Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: axis. y = 3x2, y = 18x – 6x2

A: Given query is to find the volume of the solid generated.

Q: Find the derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What p...

A: Given query is to find the percentage of students passed the test.