Find the average value of the function over the given interval. (Round your answer to four decimal places.) f(x) = 9 − x2,    [−3, 3] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.) x =

Q: Find all solutions of in the interval [0, 2π). 1. x = , 3 2п 4 п 5. x = П 3 sin 2x 3 3 п5п 2. x = 3'…

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Q: An athlete signs a contract that guarantees a ​$10​-million salary 5 yr from now. Assuming that…

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Q: Find the second derivative of the function. (Factor your answer completely.) f(t) = t^(2)e^-9t f ''…

A: Find the second derivative of the function.  f(t)= t2e-9t

Q: d) Find a solution of the initial-value problem y'= -y², y(0) = 0.5, making certain to include all…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1 Σ √n Inn 71 2

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Q: The equation implicitly defines as a function of t. Find dz dt BDP sin (4 x) = -8

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Q: Evaluate the line integral f9ydy over y = x³ for 0 ≤ x ≤ 3. (Use symbolic notation and fractions…

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Q: Find. lim X-0 2-2cosx X

A: use the l hospital rule for finding the limit.

Q: 3) Given the polynomial p(x) = x³ - 2x² + 4x-8 and the fact that x = 2 is a zero of this polynomial,…

A: Given query is to find the factors using synthetic division.

Q: Consider the following. 8 [²x³ dx r8 Rewrite the integral ¹11° (x x³ dx = 1,020, • 8 8 8 0 [*(x -…

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Q: 8. S xdx (x-1)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find all antiderivatives of the following function. f(x) = e 20x ff(x) dx = x=-20e-20x

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Q: Find all possible functions with the given derivative. t f'(t)=sin 2t- cos

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Q: Weight. How much of each chemical is required to make 660 kg of the plant food? Assume the given…

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Q: For each of the systems in Problems 1 through 12: (a) Find the eigenvalues and eigenvectors. (b)…

A: We easily find eigen value

Q: Out of all the techniques of integration (by parts, partial fractions, trigonometric) which one do…

A: Use the basic principle of integration by parts.

Q: Use the Mean Value Theorem and find all points 0<c<2 such that ƒ(2) —ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: See this solution in below.

Q: Solve for a 004 12 60° X

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -5ex cos (yz),…

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Q: Find the vector AB in R2 given in the figure. AB= help (vectors) 6 5 A 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2…

A: From the graph we write the position vector of both points

Q: A function f(x)f(x) and interval [a,b][a,b] are given. Check if the Mean Value Theorem can be…

A: Given; f(x)=11lnx+6 on[1,6]

Q: If $6000 is invested in an account for which interest is compounded continuously, find the amount of…

A: NOTE: Refresh your page if you can't see any equations. . the given invested amount is P=6000 the…

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V2 in…

A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

Q: x^1/4 + y^1/4 = 2, What is y'' at (1,1)?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. By trial and error, determine one value of x at which the function f(x) in part b) above is…

A: C). Here we have given a function:f(x)=2x-6    ;x&lt;5x2-3x  ;x≥5 For a function to be…

Q: Given [³F(x) f(x) dx = 19 and (a) ſº f(x) dx. (b) fºot ff f(x) 5 f(x) dx. 5 c) f³ F(x 5 (c) f(x) dx.…

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Find f such that f'(x)=x² +4 and f(0) = 1. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: The value of the following limit is -1 None Undefined 0 1 +∞ fin(n+¹) coth x dx limn→+∞ Jin n

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Q: 1) Given the following graph of the polynomial function f(x), Solutions: x = a) What are the…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is  as we can see from the…

Q: F Find the following power Write the answer in rectangular form [3( cos 30° + i sin 30°1² CETTE [3(…

A: Given query is to find rectangular form.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 3 + 2y²,…

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Q: Find an equation for the line tangent to the graph of f(x) = -6xe^x at the point (a, f(a)) for a = 2

A: f(x)=-6xexd dx(xn)=nxn-1equation of tangent line is  y=mx+c

Q: Draw and label diagram to help solve the related-rates problem. The radius of a circle increases at…

A: The radius of a circle increases at a rate of 2 m/ sec. Find the rate at which the area of the…

Q: Use the Comparison Test to determine whether the series converges. ∞     n = 1an where an =  2 n(n…

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Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

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Q: Find the following. [(25 + y²) dx = [(x² + y²) dy =

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Q: 22 Use the method of variation of Solu Parameters to find the particular solution of the following…

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Q: Consider the following equations. f(y) = g(x) = 0 y=2 Sketch the region bounded by the graphs of the…

A: The given equations, fy=y9-y2, gy=0, y=2 We have to find the area bounded by the graphs.

Q: Compute the curvature of the curve x=2y^2-3y at (4,2).

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Q: 39. f(x) = x²/3 - 3

A: The second derivative test is not applicable here

Q: Use Newton's method to approximate √6 to four decimal places.

A: Let's find value of sqrt(6) by using Newton's method.

Q: Verify that the given vector field h is a gradient. Then calculate the line integral of h over the…

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Q: Use the power series 1 = Σ(-1)"x" n = 0 to determine a power series, centered at 0, for the…

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Q: m/Q = 84° and m/U = 96°. Angles Q and U are complementary. supplementary. neither complementary nor…

A: We have given two angles  Angle Q=840 Angle U=960 Sum of angles is given as  Q+U=840+960=1800 If sum…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: Note:- as you required only answer not complete work so, as i am solved in this manner.

Q: Draw and label diagram to help solve the related-rates problem. The radius of a sphere decreases at…

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Q: whether the sequ 27. 28. 29. 2" (n-1)² (n + 1)² √n Vn+ 1

A: When limit is finite, then sequence is convergent.

Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(3)? 2x + 2 sin(x).…

A: Topic = Integration

Q: Differential equations method: constant coefficients a) y" + 6y' +9y = 0

A: according to bartleby guideline we do only first part of multiple  a)  y''+6y'+9=0let d dx=D…