Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

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Q: For the following exercises, find the lengths of the functions of x over the given interval. Write…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: please solve   401,411

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 4.For the 2 curves xy = 8 and x² = 64y, find the angle between the two tangent lines at their point…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 15(855) +…

A: F(s)=15(s-55)+80

Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: aquar the aquarium. (Use Show how to approximate the required work (in J) by a Riemann sum. (Let x…

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Q: 1. Given the vectors u = and v = , calculate 2v − 4u and |ū + v|.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: f(4+h)-f(4) f(x) - f(4) x-4 h (Express numbers in exact form. Use symbolic notation and fractions…

A: Given  f(x) = 1x

Q: Determine the solution of the DE-= 0. dt a. z = c + √t b. z = c√t c. z=c-√t C. d. z= c/ e. Cannot be…

A: The given differential equation is dzdt-z2t=0 WE have to find the general solution for the…

Q: 1) Suppose U(x,y)=4x²+3y²+x0.5y0.5 a) Calculate the partial derivatives of U with respect to x and…

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

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Q: 89. f(x)=√x-2 [Hint: Rationalize the numerator.]

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Q: Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture…

A: Here we have given a continuous function: f(x)=kx2       : x≥2kx+14 :  x<2 If the given function…

Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: function is given h(t) = 2t2 − t;   t = 3, t = 7 Determine the net change between the given values…

A: Given query is to find net change and average rate of change.

Q: Approximate | b sintax) dx bs c√x 0 using the first four terms of the series if a = 5, b = 11, c =…

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Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

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Q: x+y² Sketch the contour curves for f (x, y) = 4x-2 and k = 0, 2, 4

A: Let's draw the contour curves.

Q: 5 -4 -3 -2 -1 + -2 1 2 3 4 4 5

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function fx=x4-4x3+10 we have to find the value of absolute maximum and absolute minimum…

Q: Consider the following. = a₁ 6₁ an + 1 = an + 6 Calculate, to four decimal places, the first eight…

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Q: Which of the following are/is the dependent variable/s of the differential equation. (choose all…

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Q: The ot 9- 8- 7 6- y-values A 3 2 1 If f(x) = g(x) g(r) h(x) 3 then 3 2 x-values 5 a y-values 5 4 3 2…

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Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: The following information is given about the function 9 (*): lim, 8- g(x) = 5 lim 8+ g(x) = 5 X- g…

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Q: ind the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: y=8x3,y=0,x=1 about x=2

Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: am

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Q: Which of the following are continuous functions? (Select all that apply.) The temperature at a…

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Q: ← If √7-6x² ≤ f(x) ≤ √7-x² for -1 ≤x≤ 1, find lim f(x). x->0 lim f(x) = x-0 (Type an exact answer,…

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Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

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Q: Evaluate each limit, if it exists: a)lim ²-4 x-2 X-2 1-x² b)lim x-1 1-x x²-4x x=0 x(x-1) c) lim

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Q: xekx (f) S dx where k is a constant. If there are any particular values of k where your (1 + kx)²…

A: The given question can be solved using the concept of integration by parts

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A: Topic- absolute minimum and absolute maximum points. the absolute maximum is the maximum value of…

Q: If p is the current frequency of the resistance gene in a model for the spread of drug resistance,…

A: We need to find the value of  limp ->19p2-2pp2-2

Q: Find the derivative of f(x): = 5-√√/x 9 51% Type your answer without fractional or negative…

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Q: Find the length of the curve r(t) = 4ti+1j+ b) O d) 632 15 1264 15 1264 5 2558 15 2528 15 + k from t…

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Q: Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

A: Given planes:- P1:x-y-z=0P2:2x+y-2z=-3

Q: Evaluate ∫ (3x2 − 20x )dx .

A: Given, ∫3x2-20xdx

Q: Evaluate the curvature of r(t) at the point t = 4. r(t) = (3 - 5t, e³¹-12, 8t - t²) (Use symbolic…

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Q: Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear…

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Q: √9x + 1 3x - dx

A: Given :∫9x+133

Q: The nuclear waste from a nuclear power plant decays at a rate of 44% each century. If 60 pounds of…

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Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

Q: dP 153 - 17t people per year. Find a dt The population of a town is growing at a rate given by…

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Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: Let's find limit of given function.

Q: Suppose the demand for a certain item is given by D(p) = -4p²-7p+ 300, where p represents the price…

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Q: e function f' defined by the formula f(x+h)-f(x) h x) = lim h→0 alled the derivative of f with…

A: Given, f(x) = 3x3using function f' defined by the formula(a) f'(x) =limh→0f(x+h)-f(x)hf'(x)…

Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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