Compute ₁₁x dx using the concept of integral as limit of sums.

Q: S dx 3 cos x-2 sinx+3

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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: Find foda + C

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

Q: for problems 16 and 17, use the following. the following rule of func f(x)= x² + 4x² +2 to find 75…

A: Given: f(x)=x3+4x2+2

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: Find the absolute maximum and the absolute minimum for the function ƒ(x) = e¯ª – e¯5x " 0.598 ≤ x ≤…

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Q: What are the factors of x2 + 7x - 30? (x + 6)(x - 5) (x + 10)(x - 3) (x - 10)(x + 3) (x - 6)(x+…

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Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: 8. Find the stationary points of the following functions and classify them as relative maxima,…

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Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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Q: A region is bounded by the curve y^2 =4x  and the line x=y Find the distance of the centroid of the…

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Q: Doint approximation. time (sec) 0 1 2 3 4 5 6 velocity (ft/sec) 26 47 49 30 7 2 19 feet

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Q: 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0.3…

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Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: From the given data we have to find the value of a2, a3, a4, a5.

Q: Solve: 0=√x+1-√3x - 1

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Q: f(x)= x² tan(x)

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Q: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: Question 17 > At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 16…

A: Please see the below picture for detailed solution. I answered question number 17.

Q: Evaluate: (In x)² x -dx - +C

A: Topic - indefinite integral ∫xndx=xn+1n+1+C

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: S XP al dv (v-1) (v +3) (v-Y

A: We are asked to evaluate the integral.

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: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

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Q: 2. Solve the differential equation dx for y = f(x) with the initial condition y(0) = 2.

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Q: For the given function find an equation for the inverse function f-1(x).  f(x)=3x-1

A: To find out the inverse of the function given.

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: Find the indicated value. f (2,3) if f(x,y) = 4x²y - 2xy³ f (2,3)= (Type (Type an integer or a…

A: fx represents the partial derivative of the function f(x,y) with respect to x. Also fx(a,b) is the…

Q: y = [x + (x + sin² x)³]4 I

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Q: 1.1: If y2 = x² + 2xy, then dy y+x dx a) y-x b) 2x + 2y x+1 c) y d) - x corre None of the above ||

A: Given y2=x2+2xy

Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: To find area

Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

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Q: (b) Sketch, on separate graphs, each of the following functions (ii) sech(x). (iii) coth(x).

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Q: sin(x - a) lim x→a 2(x²-a²)

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Q: 2. Use the process of implicit differentiation to find given that: 52³² + 3 = 5xy. Apply implicit…

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Q: Given f''(x) = 7x - 2 and f'(0) 2 and f(0) = 1. Find f'(x): and find f(4) =

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Q: S √x²-a² X dx

A: To solve the given integral.

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: Solve the following inequality: 2x + 4 8 x < 16 x < 10 x < 8

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Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.

Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: Use L'Hopital rule, find the following limit? lim (4x + 1) cotx x→0+

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Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: An investor has $10000 to invest in either a bond that matures in 5 years or a business that will…

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