Let f(x) = V-14 – r and g(x) = z - 9x. fog= The domain of fogis:

Q: а. (у* — %3D0 2ху)dx + 3x?dy

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Q: Solve the inequality,and write the solution using interval notation.

A: The given inequality is:x2+4x-12>0To solve the inequality, and write the solution using interval ...

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: 1.Determine the line limit {an} = 37 (2cos ! en

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Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

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Q: 2x?+2х+1 15. f (x) = 5х3 +3х-5

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Q: 23Tt 4) sin - 6. 10 6) sin - 3 8) csc -5T

A: NOTE: Refresh your page if you can't see any equations. . use the property of cot function  use t...

Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

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Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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

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Q: 38) y= cos (-3x³ + 5)?

A: We can differentiate the function as below

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

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Q: -4x + 2 if r 2 Let f(r) = %3D -5x +4 if r > 2 Find lim f(x), if it exists. z+2 O DNE O-12 -6 0.

A: Given, fx=-4x+2 if x≤2-5x+4if x>2 We have to find limx→2fx if it exists.  

Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

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Q: Find the derivative of f (x) 2x5 9x f'(x) =

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Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit...

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

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: Öbserve the following graph: -b -a a

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Q: Let f(x) 11 In(x). Then f'(x) is andf (8) is f"(2) is and f(8) is

A: Use differentiation for finding the values 

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: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: Directions: Please write your solution on the space provided and boxed The limit of a function Evalu...

A: Since we area given with the multiple number of question and our guideline is solve first question o...

Q: Given functions m(x) = = VE and h(z) = z - 4, state the domains of the following functions using %3D...

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Q: Find cos x + sin 2x dx 19. sin x

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

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Q: (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% p...

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: 2.Determine the convergence of the following series n+3 а. Ln=1 2n-1, b. E=1) 2n+1

A: Given:

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: 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: with subsidiary cquatvon: * Solne the differential equatun with subsidiary cquatvon: 5. y (s) = (s+2...

A: 8)

Q: traluate O T* 2T

A: To evaluate: L∫0tπ4e2πdπ Here, π is a variable. Formulas used: ddxxn=nxn-1∫exdx=exIntegration by par...

Q: Question 18 Which of the following statements is TRUE? Select ALL that apply. O log, log,(r) – log,(...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: 103Since 103 is prime number.Therefore,

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: Determine the principal value of argument of the (1+i)20

A: The given argument is: (1+i)20

Q: Determine the minimum and maximum values of the following differential equation  X1=X3+3x2-8x+7 X2...

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Q: x' 3 3 4 27 -x+39 (2) For the function f(x)= (i) Determine the coordinates of the turning points. (i...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: find the dot product of a vector function with itself. r(t) is a curve and the magnitude of r(t)=pi ...

A: Let  u = a i^ +b j^ be a vector functionthe dot product of u with itself is given byu·u = a i^ +b j·...

Q: Find the general solution of the following differential equations (1) y' = x- 2y cot 2x dx (2) = cos...

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Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: Find the left most point on the upper half of the cardioid r=1+cos(theta)

A: we need to find leftmost point on the upper half of the cardioid r = 1 + cos(theta) by plotting in...

Q: Which integral would represent the area shown? AY 4+ 3 2- 1. 0.5 1 1.5 A (-2r - 3) d x L (2x + 3) d ...

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Q: Form a polynomial whose zeros and degree are given. Zeros: 8, multiplicity 1; -3, multiplicity 2; de...

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Q: A marketing specialist determines that when a certain product is released, the number of social medi...

A: Given query is to find the derivative of the function at t = 4.