S dx 3 cos x-2 sinx+3

Q: An arithmetic sequence begins 7, 13, 19, 25, 31, ... (a) Find the common difference d for this…

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Q: Question 19 Consider 7(a), the 3rd degree Taylor polynomial of f(a)= cos(z) centered at a IT Use the…

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Q: Consider the integral (ln(x))6 dx:

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Q: Find the antiderivative F(x) that satisfies the given condition: f(x) = 4x² +5e"; F(0) = -2. Show…

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Q: Evaluate sin³ x cos²x dx.

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Q: Prove that lim 12 √16x +9y¹2 2 6 4x² +3y does not exist by showing that the limits along different…

A: We have to prove that  limx, y→0, 0 16x4+9y124x2+3y6 does not exist.

Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: Question 16 Determine which of the following power series is equal to the function f(x) = M8 M8 M8…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: f(x)=-x4+16x3-16x+5 If a function is concave up then f"(x)>0 If a function is concave down then…

Q: f (x, y) = 169 x² + y² at (-3,2).

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: The base of a solid is the region in the xy-plane between the the lines y = x, y = 4x, x = 1 and x =…

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Q: Evaluate the definite integral. 6.³ sin(3t)dt

A: The given integral is Sin(3t), limit from 0 to pi/3.

Q: Find the area bounded by y = x and y = x³. 02 00 01 O 2 01 4

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Find the derivative of the function f(x) = e8+5x³. O f'(x) = 8+52³ O f'(x) = (8 +5x³) e³+5x³ O f'(x)…

A: To find derivative f'(x)

Q: Question 4 (a) Calculate the following: i. the area of the region in the first quadrant bounded by…

A: According to students we will solve second part for you.

Q: If evaluate f f(x) dx = 7 f(x) dx = 8 f2f (x) dr.

A: Topic = Integration

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The objective of the question is determine the solution of the system of equations.

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: To find the distance  travelled using a left endpoint approximation.

Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: What part of this graph is the solution area for a system of inequalities? The blue and red parts…

A: Let's find area of inequalities from given graph.

Q: The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values…

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Q: Solve the system of equations below: y = 3x - 5 y = -2x + 10 (3, 4) (5, 0) (0, -5) (2, 1) (4,…

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Q: Set up an iterated triple integral equal to 3-x² = SV So x²+y² 3 2-√√4-x²-y² using: a. Cylindrical…

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Q: Factor the following expression: x^2 +9x + 8 (x + 1) (x + 8) (x - 1) (x - 8) (x - 1)…

A: Solution

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

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Q: Completing the square involves changing a quadratic equation from standard form into which one of…

A: Explanation of the answer is as follows

Q: Solve the following inequality: x + 2 > 10. x > 12 x 8 x < 12

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Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: True/False: Answer a) for True, b) for false and mark on the scantron. 24. The following is a…

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Q: Consider F(x,y,z)=(e³+e²²)₁²+(e¹+z)j + (2xze²²+y)k. Please answer the items below including all…

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Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

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

Q: 2. Given Taylor polynomial is p₁ (x) = Σ;=1−¹)²(x − 1)³, compare log (x) and its (-1)-1 Taylor…

A: Concept: Let f be a function whose first n derivatives exist at x=a The Taylor polynomial of degree…

Q: Find the arc length of the following curve on the given interval by integrating with respect to x. y…

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Q: The slope at any point on a curve is given by 6x-2. Determine the equation of the curve it passes…

A: Slope of the curve is given by dy/dx

Q: 8. [In(x² + 1) dx

A: Formula for Integration by parts: ∫fg'=fg-∫f'g

Q: Question 17 > At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 21…

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Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d dr 11 t²dt =

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

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Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration with respect to time…

Q: Use the rules for sums of powers of integers to compute the sum. 24 4.² k=8

A: Recall: sum of squares of n integer                    ∑i=1ni2=n(n+1)(2n+1)6

Q: 2 Transformations of Exponential Functions transformations of f(x) = ab*h+k compared to f(x) = b*.…

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Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: B If f(x) has a local minimum at ra, then which of the following must be true? O f'(a) > 0, f"(a) 0…

A: We have to find the correct option.

Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.