d. 2 sec x f(x) = %3D 22 +х+1

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A: Explanation of the answer is as follows

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A: Given, The mass is released from a point 0.5 m above the equilibrium with a downward speed of 2 m/s.

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A: We have to find absolute extrema of g(x).

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Q: (a) Consider the function k(t) = -121.17 cos(97(t – 5))– 227.48. State the function's exact amplitud...

A: (a)   k(t) = -121.17cos97t-5-227.48 Midline = -227.48 Amplitude = -121.17 Range = (-227.48-121.17) t...

Q: the following function, q = 40(20 − p)^2, 0 ≤ p ≤ 20 find the elasticity of demand function, regions...

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Q: 4x (ВxC)+ В x (Сx А) +Cx (Ах В) —D0

A: Formulas Used: For 3 vectors A→ , B→ and C→ 1) A→ X (B→ X C→) = (A→.C→)B→ - (A→.B→)C→ 2) A→.B→ = B→....

Q: Let 6х — 8 - f(x) = ln 5x + 4 f' (x) =

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Q: Your weekly marginal profit (in dollars) from selling X newspapers per week is given by P'( x = 4 Co...

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Q: 1 Evaluate : 3sinx + cosx

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Q: calculate the limit

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Q: Find the average value of the function f (x, y) Vx2 + y²over the region bounded by the polar curve "...

A: f(x, y) = x2+y2 = r=>  f = r  = sin2θ 0 ≤ θ ≤ π/2

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Q: What is the value of z that makes the following true? 10 2ェ -1 4 I + 3

A: The given equation is 4x+3=102x-1

Q: Compute the 10th derivative for f(x)=arctan(x^2/7). Hint: Use MacLaurin Series for f(x).

A: we know that, arctan(x) has a series as below,    tan-1(x)  =  x-x33+x55-x77  .... hence, tan-1(x2/7...

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Q: Set up (but do not evaluate) the double integral that will give the area of the portion of the parab...

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Q: Your monthly profit (in dollars) from selling magazines is given by P = 6x +    x  where x is the n...

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Q: 5t 1. A particle moves according to the equation s = t2+5 t > 0, where t is measured in seconds and ...

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Q: Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0, f'(...

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Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval [-...

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Q: 7π cscsin -tan- 6 4 Гor 11 2sec- 6

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Q: David has 40 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle th...

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Q: dw + 5e*" = 0 dt 6. Solve the differential equation. 4-

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Q: Question 11 Consider the curve x+y² +2xy=4x . (a) Find all the x-intercepts of the curve. (b) For ea...

A: x-intercept is the value of x for which y = 0. slope is given as the rate of change of y wrt x.

Q: Problem 2: Eléčtričal Heart Impulse A simple model for the time t, that it takes for an electrical i...

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A: Given : A come centered about the positive z axis and sphere radius = 7

Q: (x+3)² dx (x+1)3 viii.

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Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and g(...

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Q: For the level curve f(x,y,z)=12 for f(x,y,z)= 4x2 − 2y2 + z2 at the point (2,2,2), find the equation...

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Q: Find the values of x for which the function is discontinuous and identify the type of discontinuity ...

A: Given:- f(x) = (3x+2)/(x2 -8x+15)  To find:- Value of x where function discontinuous and type of dis...

Q: Consider the function. f(x) = x + Use the graphing utility to graph f. f(x) = y + 20 10 -10 10 -10 I...

A: Given : f(x) = x + 5/x

Q: 2 U Sint x cast xdX

A: Solution is given below:

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A: we have to ratio test

Q: points of ihlection, and asymptotes. (If an answer does ne 4x y = x² - 1 intercept (x, y) = 0,0 rela...

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Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root. Deter...

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Q: Find the points of inflection and discuss the concavity of f(x)= 2cos(3x/2) on (0,2pi).

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with ...

A: Here we have to use the application of derivative.

Q: Find the area bounded by the curve x = 3+ cos Ø, y = sin Ø.

A: The solution is given below

Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

Q: Check if 569 is a prime number, then find its - Find (324 mod -70) using the division algorith

A: