Form a polynomial of degree 3 whose real zeros are -2, 0, and 4.

Q: 252 EXERCISE 9E 1 Evaluate: a d a [²3x² dx 2 Evaluate: d (10-x²) dx ²(3x²-2+)dx √(1-x) dx b e b e…

A: 1)e) The given integral is 4x2-2x, limit from -1 to 2.  2)e) The given integral is [(3-x) (8+x)]/x4,…

Q: Use Stokes' Theorem to find the circulation of the following vector field around any simple closed…

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Q: Use spherical coordinates to evaluate the triple integral ſ zdV where D is the portion of the ball…

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Q: 4. Find the antiderivative using the indicated substitution. f3 cos ¹00 sin 0 de, u = cos 0 du =…

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Q: Find the directional derivative of f(x,y,z)=xey+ye² at (0,0,0) in the direction of the vector…

A: SOLUTION:-   Given function,  f(x,y,z)=xey+yez at (0, 0, 0).We need to find the directional…

Q: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining…

A: Given that degree of polynomial is 4 and whose coefficients are real numbers Two zeros are i and -…

Q: 2² Find the equation of the vertical asymptote(s) of the function g(x)=-10x + 21 3 O x= 3, x = 7 O F…

A: gx=x2x2-10x+21

Q: 2 1 A B 2 what is the slope at points A, B, and C respectively?

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Q: 2-x Find the domain of f(x)= 7+12x−13 O xxRx+13,-1} O {x|xER₂x+131) {x|x€R¸x#−13,1} O xxERx*-13,-1}…

A: The given function fx=2-xx2+12x-13. We have to find the domain of the function.

Q: The volume of the solid obtained by rotating the region bounded by about the y-axis can be computed…

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Q: Evaluate the following limits 1-e²x)² 7x (a) lim- x-0 1-cosx (b) lim x² In 1 *** 1 9x²

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Verify the identity. 2 tan(x) 1 + tan²(x) 2 tan(x) 1 + tan²(x) = = sin(2x) 2 tan(x) sec²(x) 2…

A: varify,  2tan(x)1+tan2x=sin(2x)

Q: A curve has the following equation: y = x^2e^x−4 Find an equation of the normal to the curve at the…

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Q: What is f'(x) given the integral function f(x) = f sin udu? O f*(x) = sin x O f'(x) = -cos x O f'(x)…

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Q: A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x…

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Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: Find the gradient vector field of f(x, y) = tan(6x + y)

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Q: Please answer in easy way:    Find 5 + 7 + 9 + 11 + · · · + 521 using a technique from this…

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Q: Solve the problem. 18) A domed ceiling is a parabolic surface. For the best lighting on the floor, a…

A: A domed celling is a parbola surface. For the best lighting on floor a light source is to be placedt…

Q: Evaluate. (Be sure to check by differentiating!) S(5+x²) x²³ dx ... S(5+x¹)x³dx= (Type an exact…

A: The given integral ∫5+x46x3dx. We have to find the integral.

Q: 1. f(0) = 7 * sec (0) - 2 7 amplitiude = midline (vertical shift or k) = -2 phase shift (h) = _0…

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Q: Find the future value of this loan. $10,590 at 5.9% for 10 months

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Q: Find the volume of the solid whose base is the semicircle y = √121 - x² where -11 ≤ x ≤ 11 and the…

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: A Find the equation of the vertical asymptote(s) of the function f(x)= x¹ +2 x = √₂ x=t√2 X = 0…

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Q: What is f'(x) given the integral function f(x) = f* 7uºdu? O f'(x) = x6 O f'(x) = -7x6 O f'(x) = 7x6…

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Q: Evaluate. (Assume x>0.) Check by differentiating. √x¹2 in x dx In In Sx¹2 in x dx In

A: The given integral is x12lnx.

Q: +00 1) Verify that the radius of convergence and interval of convergence of Σ(³x + 4)" n² n=1 5 is R…

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Q: A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt…

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Q: Use the given transformation to evaluate the integral. SSS x²y² dx dy dz, x = 7u, y = 8v, z = 5w R…

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Q: The derivative with respect to x of 2 cos (x² + 2) is A. 2 sin (x²+2) cos (x² + 2) -2 sin (x² + 2)…

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Q: r(t) = −10i + (6 + 2t)j + (t² + 2)k 1 A) K = 2(t²+1)3/2 1 2√₁2+1 C) K = B) K = D) K 1 (t²+1)3/2 1…

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Q: Fritz Benjamin buys a car costing $10000. He agrees to make payments at the end of each monthly…

A: We have to find the monthly amount paid by fritz.

Q: Evaluate the surface integral ffg ds, where g(x, y, z) = 4z² and S is the portion of the plane-3x -…

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Q: A family wants to have a $180,000 college fund for their children at the end of 20 years. What…

A: Given: A family wants to have a $180000 college fund for their children atthe end of 20 years.The…

Q: f(x)=xin(x=1) Simplify your answers, then use your results to solve the IVP: y" 1 (x² − 1)² FIRST…

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Q: Find the sum of the first n terms of the following arithmetic sequence. 28) a2 = -25, a5 = 209; n =…

A: The given arithmetic sequence has a2=-25, a5=209. We have to find the sum of first 10 terms of the…

Q: x²-1 x-1x²+3x-4 Evaluate: lim- A 1/5 B 2/5 C. 3/5 D 4/5 x-4 x-4x²-x-12 Evaluate lim- A Undefined B0…

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Q: itz Benjamin buys a car costing $11800. He agrees to ake payments at the end of each monthly period…

A: Principal, P=$11800 Interest rate, i=4.8% Compounding frequency, m=12 Time, t=6 years.

Q: Write the following first-order differential equations in standard form. dy dx = yx(x + 2)

A: To write the following first-order differential equation in standard form. dydx=yxx+2

Q: Find the amount necessary to fund the given withdrawals. Semiannual withdrawals of $950 for 4 years;…

A: ⇒PV=A1-1+in-ntin ⇒PV=Present value⇒i=rate of interest⇒n=compounded period⇒t=time in years

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =…

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Q: x²-x (2x-3)² S(x)=√ 3 N/W Find, if any, (i) the interval(s) on which the function f is strictly…

A: It is given that the function is fx=x2-x2x-32. It is known that if the second derivative of the…

Q: Find the area of the shaded region. f(x) = 8x + 2x²-x³, g(x)=0 The area is (Type an integer or a…

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Q: 3 Find the equation of the vertical asymptote(s) of the function f(x)=- x +4 x=0 x= f(x) has no…

A: The line x=L is a vertical asymptote of the function y=3x2+4, if the limit of the function…

Q: The concentration of a drug t hours after being injected is given by C'(t) = 0.3t t² + 58 Find the…

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Q: ESTION 5 Find the indefinite integral: f(3x²-6x-5 +2x + 1)dx O to. x³+x-6+x²+x+C O b. + x² + x + C 3…

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Q: Let f(x) = 6 + 4x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and…

A: Estimate the area under the graph of f(x)=6+4x2 from x=-1 to x=2

Q: For the vector field F = yr³i - y²j, the work on the curve y = √x from (1, 1) to (0,0) is A. B. C.…

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Q: 14. Find the area of the region (shown on right) enclosed by the curve o(t) = (3 cos (t) with 0≤ t ≤…

A: The given curve is:σ(t)=3 cos(t)-sin(2t), 4 sin(t)+cos(t)   ;          0≤t≤2π