Find the angle, in radians, in the figure below if S = 12 and r = 8. S O 2 23 20120 07 8 r

Q: Suppose that lim f(x) = 4 and lim g(x) = -3. Find the following limits. X-3 X-3 a. lim [f(x)g(x)]…

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Q: Calculate the derivative d dx x6 10x In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: When a college won the badminton championship, the Student Congress sold championship memorabilia.…

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Q: Compute the volume occupied by revolving a circle of radius 3 m from the axis about 10 m radius away…

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Q: If $7,000 is invested at 9.5% compounded continuously, find the future value after 2 2²/1/201 years.…

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Q: 8 If + [ f(x) dx = 2 and g(x) dx = − 1 then -8 07 01 C 16 8 [3f (x) +5g (x)]dx equals

A: given  ∫48f(x)dx=2∫48g(x)dx=-1B=∫483f(x)+5g(x)dx

Q: Use the graph of f'(x) to discuss the graph of y = f(x). Organize your conclusions in a table and…

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Q: Find lim P→ (3,4,-2) 1 x-4 1 1 +y^2+z+5)

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Q: Find the exact value of csc 0, using the triangle shown in the figure below, if a= 24 and b 7. b C 8…

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Q: Using the trigonometric substitution technique, the integral tan¹0d0 sece S f sin sin 40d0 cose…

A: F=∫x4dx(1+x2)321+tan2x=sec2xd dx(tanx)=sec2x

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 1. Let f(x)= x²+x-6 |x2| 7 x b 2 x + a 3 2 if x 2

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Q: Find the solution. 1. dy=sin(x + y) 2. dy = y[sinx + In (yecosx)]dx (Suggested Subst.) (Suggested…

A: Linear diffential equation

Q: = dx (I + zx) (I + x) 7x2 :/

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Q: Consider the function 1x6 [2º cos ((1+2) x = 0, -2 M x=0 Assume that we know that g(x) is continuous…

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Q: Use a probability tree to find the probability of the indicated outcome. A bag contains 4 coins, 3…

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Q: What is the absolute minimum of the function f(x)=x^(2)+ 2x

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Q: Evaluate Jx sec²(ax²)dx.

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Q: R 49) g(x) = 4 2x+3 g(4)(x) A) find g X=I B) find g(4) (-2) f(x)=3r²-5x+8 at

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Q: The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 40 miles…

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Q: Find the derivative of the function. f(x) = (4x + 5)(5x − 6)

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Q: how did you integrate cos2x to sin2x/2?

A: how did you integrate cos2x to sin2x/2?

Q: Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y2; x = sin t, y…

A: Given that z=x2+3xy+5y2, x=sin t, y=cos t. We have to find the value of dzdt.

Q: If y = -1e2t, evaluate y" - 3y' - 4y then simplify. -3e2t e2t -e2t 3e2t

A: y=-12e2td dt(eat)=eat×a

Q: Exercises 22-26: Rewrite the function y(t) in the form y(t) = Real cos(Bt - 8), where 0 ≤8 <2n. Use…

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Q: Q5.1 Let f(x) = x + 1, ax+b, 3x, x 4 is continuous everywhere. must use a valid mathematics…

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Q: ere is For each part, calculate the limit or determine the limit does not exist. If the limit is…

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Q: Let f(x) = 2x² + 2x + 7 f'(x) = 0 f'(25) = X Find the following:

A: Given:   To determine: f'(x) and f'(25)

Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

Q: Let f be the function given by ƒ (a) = (-²+ 2t + 3) dt. On what intervals is f increasing? 10 (В…

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Q: a. Sketch and/or carefully describe the graphs of the following surfaces in 3 dimensions (R³): i. x…

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Q: If f(x) = x²/5 g(x), where g(1) = 5 and g'(1) = 6, find f(1).

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Q: Find the equation of the tangent line to the curve y = a√ at the point (16, 64).

A: To find the equation of tangent line to the given curve.

Q: 2(2x² + y²)dx − xydy = 0 -

A: To solve the given differential equation

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: Using all three conditions of continuity, determine if the following functions are continuous at x =…

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Q: 2. x²dx + y(x - 1)dy = 0

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Q: 1) Given vectors à = (1, 2, 3), b = (-3, 1, -2), and c = (1, -2,-4), find ANY FOUR of the following:…

A: Scalar multiplication of a vector is obtained by multiplying the scalar by every component of the…

Q: Draw the following graph on the interval 5T 2 y-3 sin (3(2-)) +2.5 M&M

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Q: Maximize P= 3x + 3y Subject to 2x+y ≤ 10 x+2y ≤ 8 x, y 20 C What is the maximum value of P? OA. P=…

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Q: (2) Find the derivatives of the following functions. (a) f(0) = cos(0) + 2 tan(0) + sin (7) (b) (c)…

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Q: In Exercises 23-52, find the minimum and maximum values of the function on the given interval by…

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Q: The instantaneous slope of f(x) (when f(x) is a polynomial) 10 f(x) = x² - 4x2 compute the…

A: To find instantaneous slope of given function.

Q: State the quadrant in which lies if sec 0 > 0 and csc 0 < 0. O Quadrant II O Quadrant IV O Quadrant…

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Q: [(4x³ (4x³-9x² + 7x + 3)e¯x dx

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Q: 7. Find d²y dx² from y = √√x- =√x-²/2

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Q: Which of the following definite integrals are equal to lim II. 1. [₁² sin rd r S sin (-1 + x) dx S²…

A: Given data: Which of the following definite integrals are equal to limn→∞ ∑k=1n sin-1+k.5n.5n

Q: Use properties of integrals to prove that 10/09 kim x tan x dx ≥ 0

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Q: differentiate: f(x) = x^2/sinx

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Q: 40. f(x)= In(1-x² + 2x¹); x = 1

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