12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (2+x) D. x cos (2 +x) 13. Find the derivative of arc csc (3x). A.- C. 3 В. D. 14. Find the derivative of arc sec (2x) A. 2 D. vi-ar В. From 15-17 determine what type of discontinuity is presented A. Jump B. Essential C. Remove D. No Discontinuity Sø(z) if z+1, G(z) = if z=1. S(z) = tan z 15. 16. 17. 18. It states that for each value between the least upper bound and greatest lower bound of the image of a continuous function there is at least one point in its domain that the function maps to that value. A. Extreme Value Theorem B. Intermediate Value Theorem D. Fundamentals of Continuity C. Fundamentals of Calculus 19. Evaluate lim(x+e*)/*, В. 1 (1-) z zin A. o C. e2 D. e lim 20. Evaluate A. 0 В. 1 C. - d. -1

Q: What is a function, in your own words? Give an example to back up your points.

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Q: 8x+5<15

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the Linear Approximation to f(x, y) = V at (81, 16) to estimate 15.9 (Use decimal notation. Give...

A: Given:     f,(x,y) = √(x/y)      Point: (81, 16 )    Approximation : √(81.1/15.9)

Q: Question 13 Solve the equation a? + 4x 1(16 +4x). The smaller answer is: the larger answer is:

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Q: Complete the table below to identify the limit.Round all numbers to 3 decimal places. I – 2 lim I→2 ...

A: We have to find limit

Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

A:

Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

A:

Q: d (ae dx 3lnx 3x -

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Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

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Q: Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer ...

A:

Q: Fill in the blank with the appropriate word, phrase, or symbol. In the expression 5-/7, the 7 is cal...

A: We have,

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B...

A:

Q: Find the total mass of a 5-m rod whose linear density function is p(x) = 3 + cos (Tx) kg/m for 0 < x...

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

A: The given sequence is:  8, 7, 6, 5, 4, ... 

Q: Determine the equation of the plane that contains the points P(1, –1,0), Q(1, 1, –1) and R(-1,0, 1)....

A:

Q: Let cH)=LE?, t,6">, a) T(1) 5) K1)

A:

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: Find the derivative. 5) y -2. 9 sec x A) y'- 9 wec x tan x B) y'-9 tan?x C)y'--9 D) y' =-9 sec x tan...

A:

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subje...

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2) f...

A:

Q: ) A stone is dropped into a pond and sends out a circular ripple whose radius increases by 5 cm/seco...

A:

Q: Find the slope of the line shown below 4- -4 slope tim but

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: ст A particle moves along a straight line and has acceleration given by s'"(t) = 5t. Its initial vel...

A: To find the position function s(t) , integrate the given differential equation two times and apply t...

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

A:

Q: 1 - 3 -4 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine wheth...

A: NOTE: Refresh your page if you can't see any equations. . here we have system Ax=b is 

Q: (2) A study indicates that spending money on pollution control is effective up to a point but eventu...

A: The percent of pollution removal when x million dollars are spent is given by  as below: a. We need...

Q: log (x+8) ) dx 3

A:

Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: Evaluate the following integral by using method of substitution: 1/ (1+9x^2) dx Limit: 0 to 1/√3

A: NOTE: Refresh your page if you can't see any equations. . substitute  ............put it back in ...

Q: Which integral would represent the area shown? 6 4. 2. 0.5 一 15 2. 2.5 3. 6 2xdx L (2r + 2) dx A (2x...

A:

Q: 3V€ dt

A: Given query is to find value of the integral.  

Q: Complete the differentiation formulas a) d/dx(c)= b) d/dx(ax+b)= c) d/dx(x^n)= d) d/dx(1/x)= d)...

A: We have to find derivative

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

Q: Which of the following vectors is parallel to the vector i = (3, –12, – 9)? А. а — (1,—4, —3) B. 6 =...

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Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

A:

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2. ...

A: We have to find domain

Q: Which Riemann sum represents the illustration shown? 2.25 1.75 1.5 1.25 0.75 0.5 0.25 0.25 0.5 0.751...

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Q: af af and ax 'ay L: f(x.y) = (x + y)(2x + y)² Compute %3D дхду

A: Given that: f(x, y)=(x+y)(2x+y)2

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

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Q: Question 17 Use your knowledge of the properties of logarithms to match equivalent expressions: ] lo...

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Q: Find ​(f◦​g)(x) and ​(g◦​f)(x) and the domain of each.   ​f(x)=x+19​, ​g(x)=x−19         Ques...

A:

Q: - 5x + 7, find f(2). Use this to find the equation of the tangent line to the parabola y = 4x2 5x +7...

A:

Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

A:

Q: 12) y = esin t (In t5 + 10) A) eCos t (cos t)(In t + 10) - 5esin t 5esin t cos t B) C) esin t (cos t...

A: From the formula of derivative multiplication which is    d/dx[f1(x)*f2(x)] = f1(x)*d/dx[f2(x)]+f2(x...

Q: Let f(r) Find the values of x where f'(x) = 7. I + 8 Give exact answers (not decimal approximations)...

A: We will find the solution of given function as shown below

Q: O The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q =...

A:

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below