(iii) What quantity q maximizes revenue? What is the maximum revenue?

Q: Let a, = and b, n - 5 Calculate the following limit. an lim (Give an exact answer. Use symbolic nota...

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Q: Create a derivative word problem that includes a real-life application of Derivatives, in this case:...

A: Application of Derivatives in Real Life- •To calculate the profit and loss in business using graphs....

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Q: Determine the following probability. Meeting at least one person with the flu in ten random encounte...

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4271 per ...

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Q: Using Figure 4, complete these functions. P(-20, 21) a Figure 4 cose = -20/29 21/29 -21/29 20/29

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: Describe the transformations in each graph. Sketch the graphs of the following functions by hand, us...

A: a) The given function is: f(x)=-2 cos 3x-π3+12

Q: Define Q as the region in the first quadrant bounded by the line a = 6, the graph of v(y) 2y? -, and...

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Q: 4 Consider dx. Transforming the integrand, the result will be K -, where k is a constant. What is u ...

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Q: 2. a) Iff(6) = 3,f'(6) = 6, g(6) = 1, and g'(6) = 4, determine () (6).

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Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

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Q: A camera is suspended by two wires over a football field tó gét from above. At one point, while the ...

A: Let the camera be at the point c, WL and WR are the forces on the camera by the left and right wire ...

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1...

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Q: Convert the point (-1,-V3) from Cartesian to polar coordinates. A) (-2,) B) (2.). c) (-2, ). D) (2,)...

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Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −7 such that ...

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: following

A: We will find the value of the integral

Q: A ball is launched vertically upward with a velocity of 256 ft/s, so its position function can be mo...

A: Given that, s(t)=-16t2+256t

Q: Answer this question by showing all work and formulas used to solve both derivative functions and si...

A: Given,           f'x=32x3+126x23-4x2+2x3+1323-4x-4           g'x=4x-1-12+4x+1-12x-1-32To find : Simp...

Q: Find the limit (if any) Vx -5 lim x-25 T-25

A: Given the limit function limx→25x−5x−25

Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Jimmy paid off a mortgage by paying $725 per month for 16 years. What was the original amount of the...

A: Given

Q: -dx. Using u-substitution and transformation of integrand, what is u and du? 3x- 2x Given: 3 dx A u=...

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Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

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Q: Find the derivative of the function y = tan^-1 x/1-x + sec ^-1 sqrt x+1 %3D

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Q: 50 Consider the sum: Si=1275. i-1 50 Find the sum: i = ? i-6

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Q: The owner of a ranch has 2800 yards of fencing material with which to enclose a rectangular piece of...

A: topic-  area and perimeter of rectangle

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equ...

A: To solve this question we need to apply the concept of maxima and minima.

Q: Given that f(x) = 3x + 1 and g(x) = (2x + 1) / (5x – 1): evaluate f(1/2), g(-1) and gf

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Q: The solution to the differential equation -y x cos(3x) - is: Select one: cos(3x) + cx2 O 3x² sin(3x)...

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Q: A tubular metal 3.9 meters long leans against a vertical wall and the other foot of the metal is on ...

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Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

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Q: 10.fx'e'dx Task #2: Solve the following integrals of power of sine and cosine, tangent and cotangent...

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Q: Suppose y = tan x. A. Find dy and Ay when r = 60° and Ar = 1°. B. Use your answer in part A to appro...

A: Given that y=tanxA. y=tanxdy=sec2xdxdydx=sec2x△y=dydx△x△y=sec2x△x△y=sec260°×1°△y=4×1°=4°

Q: The solution to the differential equation 1 - y = x cos(3x) is: Select one: O 1 x² cos(3x) + cx? O 3...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Limit comparison Test : Suppose ∑ak and ∑bk be two positive term series and        L =limk→∞|akbk| I...

Q: The region R shown below is bounded by the x-axis, the y-axis, and the curve given by the parametric...

A: We have to write the integral expression

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: The radius of convergence of the series 00 n! (3x – 1)" -

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Q: %3D h that x+3y =16. |=

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Q: 4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+...

A: We have to find the normal line through P and tangent plane through P.

Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6, x3=y...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: E(-1)" (~1)nn! n=1 en

A: Given series:-       To find:- Given series is convergent or not