Find the average value on the interval 3, 6| of the function whose graph appears below. average value = 2 1 2 3 4 5 6

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A: topic - derivative of inverse function

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A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

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A: use differentiation for finding the solution.

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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: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: 15. A father is 27 years older than his son. Ten years from now, he will be twice as old as his son....

A: We are authorized to solve only one question, please repost remaining questions Age problem

Q: Pls help ASAP. Pls show work.

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Q: 1. Consider the following graph of f(x) =(*-5x +3x+1) -15 -05 05 15 2,5 3/5 45 a. List any x-values ...

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: Write the quadratic function in standard form. f(x) = x2 - 6x f(x) = (x-3)2 +4.5 x | Sketch its grap...

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Q: Find an equation of the tangent ine to the function y 4at the point P1, 4) Solution We will be able ...

A: We will use point - slope form to find equation of tangent line to curve through given point

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A: The given function, g(x)=2x+3

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Q: Find the angle between A = 37 – 23+ 3k and B = 7 – + 5k. %3D %3D 20 A. 0 = sin 3/66 20 В. cos 3/66 -...

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Q: 3. The head of a fish measures 22 cm long. The tail is as long as the head and half the body. The bo...

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Q: 6. Suppose h(r) = (f(r) + VT) · g(r), f(4) = 3, g(4) = -1, and f'(4) = g'(4) = 5. What is h'(4)? Exp...

A: Given h(x) = (f(x)+x )·g(x)h'(x) = d( (f(x)+x )·g(x))dx

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Q: x5tan(x²) sec²(x²) dx

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Q: 2. Evaluate the following integrals using partial fractions. 1 (a) / dx (x – 3)(x + 1)² (b) / 6х? + ...

A: We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫1ax+bdx=1alnax+b+C (a). Given: I=∫1...

Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

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Q: Based on ONLY the table of values above, what conclusion can be made?

A: The given function,   f(x)=x2-4x-2

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: Sketch the region that corresponds to the given inequalities.

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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: y =2(2x - 3x) 1.

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Q: Determine the roof of f(x) = -0.5x² + 2.5x + 4.5 Employ the initial guesses of X¸ = 5 and X, = 10

A: Here we have to use the bisection method to solve the given problem. according to our guideline we a...

Q: 3. Consider the graph of h(x)=|sin(2x)|on the interval -- 2 2 a. List any x-values at which h(x) is ...

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Q: (a) Define what it means by 2 for y = f(x). %3D

A: Topic:- calculus

Q: Find the average value of f(x) = x² /57 + x³ on the interval [0,4]. favg = Report answers accurate t...

A: Find the average of the function  f(x)= x2√(x3+57) on interval [0,4] 

Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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Q: Unit Circle, Fill in the blank 20 45 20. 0.0 215 200

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Q: Determine the general solution of the given differential equations): | (A – 2xy) dx + 3x²dy = 0 a.

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

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Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly ...

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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 ...

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Q: f (x) 3 —2 — (х + 8)2

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Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)- si...

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx =4+4dydx⇒dydx(cos(1y)+1ysin(1y)-4)=4⇒dyd...

Q: 1/3 1/6 Find all real solutions to 2x3 – 4x6 – 6=0. -

A: Given:      2x13- 4x16 - 6=0

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: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

A: We have to find out limit

Q: Using the definition f continuity justify X-Values where the funcion is not continur 7) fus = %3D if...

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Q: What is the integral of f(x) within the interval [2, 6]? AY 4- 2 2 4. 8 Created with a trial version...

A: We can find the area as below.

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.