The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 20 y = g(x) 10 20 35 10 (a) g(x) dx 30 (b) g(x) dx 35 (c) g(x) dx

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: 1 3) For which a does converge? Justify your answer. n(In n)e n=2

A: This question is related to series.

Q: The polynomial of degree 5, P(1) has leading coefficient 1, has roots of multiplicity 2 at a = 2 and...

A: Given: - The polynomial of degree 5, P(x) has leading coefficient 1,has roots of multiplicity 2 at x...

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits

Q: dx Evaluate | x² + 2x +5 [(x+1)/] a. arctan +C arctan +C 4 [(x+1), |(x+1), с. arctan -C d. arctan +C

A: Let I is the value of given indefinite Integration.

Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...

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Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: lim(4x – 3) = 5 x→2

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Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of...

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are c...

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Q: The annual net income of General Electric for the period 2009-2013 could be approximated by P(t) = -...

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Q: dy = 2x- 7, y(2) = 0. dx

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: x², if xs1 4. Let f(x) = . Find f. (1) andf'(1). Does f'(1) exists? 2x, if x>1 Show that the functio...

A: 4. fx=x2,if x≤12x,if x>15. y=f(x)=x2-3x

Q: Do not skip any steps. Find the area of the region bounded by the graphs of: X=y^2 and X=3-2y^2 Don’...

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Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values o...

A: In this question we have to find the rate of change from the given function.

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: 3x4 – 4x3 – 12x² + 18 f(x, y) = 12(1+ 4y²)

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Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

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Q: 7 6. 4 1 -4 -3 -2 -1 1 2 3 4 5 6. 8.

A: Graph of the function is given, we have to find the function value and limits

Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let tan-1m=θm=tanθtanθ=512=pbh=p2+b2h=52+122=13cos...

Q: Find the x-value(s) at which the tangent line to the curve y = x2 + 16 is horizontal. (Enter your an...

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Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x ...

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: Question 2 Consider the region R in the ry-plane bounded by y = e", y = 1 and r = 1. (a) Set up, but...

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Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

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Q: Seuchudu = In) tanh 5 ul +c In tanh %3D

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.03 trillion. In 2013, total federal...

A: topic - exponential function

Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

Q: I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex...

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Q: A tank contains 7,000L of brine with 17 kg of dissolved salt. Pure water enters the tank at a rate o...

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Q: Find carlesian equation of the following. the 3-Sine 2. r °cas (20)= 4 r CO

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Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: Determine the order of the differential equation. y' + y = 7y2

A: We have to Determine the order of the differential equation.

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2, –...

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Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

Q: Find the slope and y-intercept (if possible) of the line. (If an answer is undefined, enter UNDEFINE...

A: The given line equation -x+y=8

Q: he limit. Use l'Hospital's Rule if a lim tan(x) x+0 tanh(x)

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Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

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Q: plane flying horizontally at an altitude of 1 mile and a speed of 500 mi/h passes directly over a ra...

A: Please refer to the image below 

Q: 4 - 3 + – Find the limit of f(x) = as x approaches o and as x approaches - ∞o. 9. 9 - X

A: Find the limit of the function .

Q: continuous 2十3℃-10 Let fundtion fce)= て-と a H=2 at point then a =

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the d...

A: We will solve by using alternative form of derivative as shown below 

Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: 4. (D² + 4D + 5)y = 50x + 13e 3x

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Q: Find the 1.crit numbers, 2.open intervals where the function is increasing and where the function is...

A: We need to find critical point and interval of increase and decrease.