Find the derivative of y with respect to x if y = (8x2 - 16x + 16) ex. dy dx =

Q: Use the Laws of Logarithms to combine the expression. 3(log5 (x) + 2 log5(y) - 4 log5(z)) X

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Q: Find a positive number a such that the sum of 25x and 1/2 is as small as possible. X = Does this…

A: We are required to find: Positive number x such that sum of 25x and 1x is as small as possible. Does…

Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: What are the characters of the following series, respectively n²2-1 4n-1 00 n=1 00 #1 n+2 m=2 A)…

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Q: xsinx-x² lim x-0+ (ex-x-1)² A) 0 =? B) 2 1|2 D) 2/3

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Q: Find the general solution to the differential equation. y = x5 4 y (x) +O

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Q: Oil Production Based on a preliminary report by a geological survey team, it is estimated that a…

A: R(t)=(700t2/t3+32)+5 (0<=t<=20)

Q: (7) Evaluate the real integral 2π de 2+ sin 0

A: The given integral is:I=∫02π dθ2+sinθ

Q: The marginal cost of producing the xth box of light bulbs is  13 − (x/30000),  and the fixed cost…

A: The marginal cost function is given as C'(x)=13-x30000 The fixed cost is given as C(0)=$20000.

Q: Use the fact that (a) (b) 1 (1-x)² = 00 n = 1 00 1 ΙΣ (7) 10 10 n = 1 n 9 00 n 1 10 ÷ ℃ (²)² = 11 11…

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Q: Suppose that f(x) = x¹ — 4x³.

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Q: Find the polar coordinates, -≤0 < and r≤0, of the following points given in Cartesian coordinates.…

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Q: 1 | lff ( x ) = = 3² 3 ² - 2²/ 4 4 -x4--x³+60, then what is the set of x values for which f has a…

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Q: Compute the specified quantity. The simple interest on a $3,000 loan at 6% per year amounted to…

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Q: A woman, with her employer's matching program, contributes $300 at the end of each month to her…

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Q: dy What is the general solution to the differential equation da A (B) y= 1 (2²+32+C) 372 *-…

A: We have to solve the differential equation dydx=x-13y2We can variable separation method in the below…

Q: Find an equation of the ellipse drawn below, then find its foci. 1 x Select one: O a. (x²/4) +…

A: The given graph of ellipse is:

Q: Suppose that the equation x² + y² + z²-4e2-xey = 0 defines z as a function of the variables x and y.…

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Q: ii) the evaluation of ffdzdxdy is 2.

A: Given triple integral ∫-11∫y21∫0x2dzdxdy

Q: A cone is constructed by cutting a sector from a circular sheet of metal with radius 12. The cut…

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Q: Find the area of the following surface using the given explicit description of the surface. The cone…

A: The cone: z2=4x2+y2, 0≤z≤10

Q: Find the equation of the line tangent to the curve y = 2cos³ (x) at x = . No decimal values. Leave…

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Q: Let f(x, y, z)=2e' cos(xz). Then the derivative off in the direction of 7-j-k at the point A(0,0,0)…

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Q: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is Find the…

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Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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Q: Let f(x, y, z) = x¹y+ z² and x = st², y = s²t³, and z = st³. (a) Calculate the primary derivatives…

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Q: Sketch the graph of the following function Paint 0≤t<π/2 π/2 ≤t≤T f(t) = period ㅠ

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Q: A simple model for travel costs involves the cost of gasoline and the cost of a driver.…

A: To find out the value of g(v) at v=0, v=40 and v=60 miles per gal

Q: Find the general solution to the system of ODES, x = x +2y+t-1, ý 3x + 2y 5t - 2, = by solving the…

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Q: Using the laws of logarithms evaluate log_(3)(54)-log_(3)(2)

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Q: 17. Find AB. A 24.1 m 115.5° C 17.7 m A) 35.5 m C) 30.2 m B B) 31.7 m D) 37 m

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Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

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Q: Consider the following double integral: 12 1 = [[y²e dy dx 0 2x 1) Sketch the region of integration…

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Q: Find the right end behavior, x→ ∞, for each of the following: (a) y = log4(x) : (b) y = e-3x : y →

A: We have to slove above problem

Q: If g(x) is the transformation of f(x)=x after a vertical compression by 1/3, a shift right by 1, and…

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Q: 7. Logistic growth A population is modeled by the differ- ential equation dN dt 1.2N (1 – - N 4200…

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Q: The price of a company's stock over the 12-week period at the beginning of 2012 can be approximated…

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Q: f(x, y) = √√3x² + 4y² fz(-1, - 5) Calculator Check Answer

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = log4(x²9)

A: We have to find the domain of the function

Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

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Q: 31. The region in the first octant bounded by the coordinate planes, the plane x + y = 4, and the…

A: We have given  Plane x + y = 4  and  Cylinder y2 + 4z2 = 16 we have to find volume using triple…

Q: Find a particular solution y of the following equation. Primes denote the derivatives with respect…

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Q: Sketch the curve. r=2 sin 8 1 2 -1 OO O O -1 1 -2 -1 O Find the area that it encloses. 1

A: r=2-sinθ

Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: The graph of f is given. Draw the graphs of the following functions. 2 0 1 d) y = f(x) + 1

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Q: Find the following limit or state that it does not exist. x²-100 X-10 X-10 lim Select the correct…

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Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 + cos y 1+ sec y

A: The given trigonometric expression is 1+cosy1+secy. We have to rewrite the given expression.

Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

A: To solve the following

Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph…

A: Region in the first quadrant bounded by y=2x,x axis and x=3 We have to find volume when specified…