Given the function 5x 3 x < O f(x) = 3 5r – 6 x20 %3D Calculate the following values: f(– 1) = f(0) : f(2) = %3D > Next Question

Q: 4 %3D ») f(E) =

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Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the exa...

A: We know that the expression for the area of the triangle △PQR is: A=12PQ→×PR→ The given vertices of ...

Q: 13. DETAILS LARAPCALC10 3.2.006. Find all relative extrema of the function. (If an answer does not e...

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

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Q: Find when the function is concave up and when it is concave down. (remember it is arctan not an expo...

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Q: 3.1.053. A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9x ...

A: Solution is here

Q: x3 - 3x?y = C

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Select a normal vector and a point then write the equation of the plane. 

Q: A rancher wants to construct two identical rectangular corrals using 200 ft of fencing. The rancher ...

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Q: Solve: 5|x – 1| + 4 > 14 The answer has form: O A B Where A = %3D and B = %3D

A: If x&gt;a then x&lt;-a or x&gt;a .

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: Let's find. 

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: n+1 24. 2n +3 n=0

A: Given query is to find the series converges or diverges.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as a...

A: Given problem:- Use vectors to find the lengths of the diagonals of the parallelogram that has i+ j ...

Q: 0 minutes. Water begins to be pumped 0. A different pipe is draining water from the tank starting A ...

A: Water

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: x V3x - 5 dx

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: 2. * x dx V4-x4 stn-1 폭+C x2 C sin-1 + C 2 1 x2 D sin 1 x sin-1+ C sin-1 + C - - 2 O A E None of the...

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Q: Determine whether each point lies on the line. x = -1 + t, y = 2t, z = 3 + t (a) (0, 2, 4) O Yes O N...

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

Q: sin x sin (2x) sin (3x)dx

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Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3 ...

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Q: Find the exact length of the polar curve r=1+ cos 0

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Q: 2. Evaluate drdy.

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Q: Sea(4 + e3*)-1 dx

A: Solving the problem by finding the solution of the integral.

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: se differentials and the graph of f to approximate the following. (Round your answers to three decim...

A: Given problem:-

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: (x2 - 4x + 4)4/3 dx -

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+2k w = i+ 9j + 2k Find the v...

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Q: 2. Find the general solution of the differential equation: dy ip 5 + 6y = e ,3x - dx? d.x

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Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) ...

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Q: Find an equation of the tangent(s) to the curve with parametric equations x = 1+ Vt, y = et at the p...

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Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

A: I am attaching image so that you understand each and every step.

Q: Determine any planes that are parallel or identical. (Select all that apply.) O P,: -60x + 90y + 60z...

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

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Q: У (4х + у) dx — — у) dy 2 (x² - 2x2 +x+ 2In у — С ans. y

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

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Q: s) of intersection (if any) of the plane and the line. (If an answer does not 4y = -7, X 2 z – 5 %3D...

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Q: Use the remainder theorem to find P(-2) for P(x) Specifically, give the quotient and the remainder f...

A: To use the remainder theorem to find the quotient and remainder of the polynomial P(x)=2x3+2x2-x-3 i...

Q: 8) f(x)= T+x²

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