The graph shows the derivative of a function f. If f(0) = 3, what is f(2)?

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Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = x(t) = - 1 1 0 1 0…

A: A=

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Q: 3. Find the inverse function for f(x) = x-1 3x+1

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [xe 3x…

A: Green's theorem:

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (3-4x) (3 - 4x)¹0 dx

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

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Q: An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200…

A: An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200…

Q: If you wish to integrate a function over the top half of the unit ball using spherical coordinates,…

A: To find the limit of integral in spherical coordinates

Q: Given the function f'(x) = −x³ – 6x² + 72x, determine all intervals on which f is decreasing.

A: If f'(x)> 0 in an interval I then f(x) is increasing on interval I.If f'(x)<0 in an interval I…

Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

A: f(x)=

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (5y +…

A: ∫C(5y+7ex)dx+(10x+3cos⁡y2)dyC is the boundary of the region enclosed by the parabolas y=x2 and…

Q: Evaluate the line integral, where C is the given curve. Scx³ y³ ds, ds, C: x = t³, y=t, 0≤t≤3

A: given line integral to evalute

Q: Evaluate the integral: | 28x² 49 - x² -dx

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Q: Use Green's Theorem to evaluate the following integral et² dx + (4x + 6) dy Le Where C is the…

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Q: The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C.…

A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Evaluate the integuel 99.9 x dv the octant z ≤ 2-y iii) //2₂ i) 0 ii.) - 2 st 1 ivə 1 where OC VJ 4…

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Q: Question 5 (a) Determine the partial derivatives of the following functions with respect to each of…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

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Q: (MC) A This is the only question in this section. Question If f (x) = cos x, then the Mean Value…

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Q: 376. lim 20-0 √1+x-√1-x x

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Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

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A: We have to find the integral value.

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A: We need to solve function and draw graph.

Q: Current Attempt in Progress Given the figure and [ f(x)d(x) = 1.25, estimate: (a) f f(x) dx = (b) […

A: Given that.We will find the remaining values.

Q: Evaluate the following. [³√9+xªdx 9 + x4 dx

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Q: a) log, 40 d) Slog, 9 c) b) log, 2 c) log, 2+log, 8 log, 12 1) log, 10-log, 20

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Q: Verify Green's Theorem by evaluating both integrals an √ 7² dx + x² dy = √ √ √ (²x- ax for the given…

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Q: Graph the function y= by identifying the domain and any symmetries, finding the derivatives y and y…

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Q: g(b) Use the substitution formula [f(g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the…

A: By using substitution method, we will find the integration.

Q: How would I set up an integral that funds the volume of the cylinder?

A: This is question of calculusHere we have to find step for calculate the area of cylinderFurther…

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE a) y"-y'-2y = 0 b) y" - 9y…

A: The given differential equation are , when

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Q: view Policies Current Attempt in Progress Find the area between y = x + 14 and y = 4x + 1 between x…

A: Giveny = x + 14, y = 4x + 1 and x = 0, x = 2

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-9, 5) Radius:…

A: To find the standard equation of the sphere with the given characteristics.

Q: I’m not really sure how to solve i’ve tried several times.

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