The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 at x = 0 and x = – 4. It goes through the point (5, 81). - Find a formula for P(x). P(x) =

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(-1,-2,2), and C(3,1,-3) then find t...

A: We will find the area and the angle of the triangle.Where points A, B,C are given.Below find the sol...

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x)= -7x. f a) Find the domain of f, g, f+g, ...

A: The domain of f(x) is the set of all possible values of x for which f is defined.

Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: In this question The profit per jar of strawberry and raspberry has already been mentioned as $1.5 a...

Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: The radius of a circle is increasing at the rate of 2 cm/min. 1. Find the rate of change of the circ...

A: topic - rate of change of circumference and area of a circle

Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below 

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: A point x=a is said to be a vertical asymptote of a given function y=f(x) iff as x tends to a, y ten...

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

Q: C f (x) E B. А F

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Q: A chemist must mix 8L of a 40%acid solution with some 70% solution to get a 50% solution. How much o...

A: NOTE: Refresh your page if you can't see any equations. . 8 L of 40% acid solution = 8(0.4)=3.2 x L ...

Q: xInsinx?dx То evaluate using Gen. Power Formula, we let u =Insinx2 tanx2 A) True B) False

A: We put u=Insinx2 and differentiate both sides with respect to x and solve it. Follow 2nd step.

Q: Determine the exact values of the six trigonometric functions of the angle e. (a) (15,-5) sin(@) cas...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Let 7(t) = 2t î + 4t² j. Compute Ñ(1).

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Q: uppose that yi (x) =x² denotes a nontrivial solution of a homogeneous linear econd-order differentia...

A: Put y1 =x2 then solve for y2 

Q: Multiply in the indicated base 86312 A212

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Q: ns: Find the tangent plane to the surface of x2 + z² = y² + 9 at (1, –1,3). 3

A: Follow the procedure given below. 

Q: B. lim 3* 1. Construct the table of values let x be -3, -1, 0, 1, 3, 5, 7, and 9. 2. Graph the funct...

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Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: H (0) = tan(0) is a transcendental function. O True O False

A: we have choose true / false and explain

Q: Two forces, with magnitudes 10 N and 15 N, act on an object at 40° to one another. Determine the res...

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Q: se a definite integral to find the area of the region between the curve y = 12x and the x-axis on th...

A: Given query is to find the area under the curve for the function.

Q: The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95e-3p + P...

A: Given by the formula q=95e^(-3p^2+p).

Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: For which of the quadrant angles 0, 7/2, T, and 37t/2 is the tan function equal to 0? (Select all th...

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Q: 1) 16 C 10 B. 3) A. 4.7 C 14.9

A: Given:    Triangle Figures is given

Q: 11 lim e-Siny-1 e- Siny-1 0-1-1 X-70 X4+ Ex+12x 0+0 t0

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Q: Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a con...

A: Here, we have to find the acceleration of the boat. Acceleration is the rate of change of velocity w...

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles wi...

A: This question can be solved using rate of change of quantities.

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. x+4 f(x) = 2x- 4, g(x)= -

A: Given: - The functions are, f(x)=2x-4 and g(x)=x+42 To find: - The value of f∘g(x) and g∘f(x) and th...

Q: 2c- 5.64c + 198.6318c – 5.25 on your graphing Graph the function h(c) calculator on the interval [-1...

A: Let's find. 

Q: Find an equation of the tangent line to the curve y=3arccos(x/2) at the point (1, pi)

A: Given that equation y=3cos-1x2To find : equation of tangent line at point 1,πSolution :equation of t...

Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9...

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: Determine the infinite limit. x2 + 6x lim x-3 x2 – 6x + 9 8

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Q: 6) Match each direction field below to the corresponding differential equation I yA II yA -2 2 x III...

A: We need to draw vector field diagram.

Q: Given the function g(t) = (t – 1)(t + 7)(t – 5) its g-intercept is its t-intercepts are

A: for g intercept t=0 g(0)=(0-1)(0+7)(0-5)g=(-1)×(7)×(-5)g=35 Hence g intercept is (0,35)

Q: Find f ° g ° h when:  f(x)= 1/x     g(x)=x^2.    h(x)=x^3+2 You do not need to simplify your answe...

A: Topic  =Functions

Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function -...

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Q: sec® tan³Od0 5ød® coso

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Q: A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep...

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Q: S (72³ + 4a²) dæ

A: Evaluate the integral ∫7x3+4x2dx  

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: A cliff diver plunges from a height of 81 ft above the water surface. The distance the diver falls i...

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Q: For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each. 1-X f(x) = 4x , g(x) ...

A: topic - composite functions

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A: we have to find the area of polygon

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: SLet R be the region in the ay plane boundedd by the curves y=X=8x and y=-6x+3. Set ye, but do not e...

A: We need to evaluate integral for area.