What is the average value of f(x), between x = 0 and x = 5 for f(x) = 2 + sin(x)?

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Q: Find the displacement of an object on the interval 3 ≤ t ≤ 9 if its velocity is shown below. V(t) 4…

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Q: percent markup based on selling price, rounded

A: Solving the problem

Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

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Q: What is the area of the region bounded to the right by x = -y²+2 and to the left by x = y²? 5432-…

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Q: zuibst Tonni bns 2 x + 9. f(x) = (x)\ [1,3]

A: To find the volume of revolution about the -axis for the following function and interval., Note:…

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: The cost function for producing x units at a company is C(x) = 54 √√x + 500 dollars. Find the…

A: The cost function for producing x units at a company isTo determine: The marginal cost when 9 units…

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: Consider the region bounded by the graphs of y = (a) Find the volume of the solid generated V = (b)…

A: According to question,Given Function,y = 2xx2+1

Q: Graph the solution of the system of inequalities. x + 5 6 y ≥ 2x - 6 <

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Q: bn = n n²+3*

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Q: Use the parameter to write the rectangular equation as a pair of parametric equations. State any…

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Q: c) f(x) = secx sin.x d) g(t)= cost t²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: At what point on the curve of y = 2x² - 16x is there a tangent line that is horizontal?

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

A: We know that the speed formula ds/dt

Q: Determine the area bounded by y^2+4y=x-3 and 2x-y-3=0. Using a Horizontal Element.

A: The area bounded by the curves x = f(y) and x = g(y)  between y= a and y= b is given by…

Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: answer 12 and 13 using the information

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Q: Prove or Disprove the following (show full solution) d at (x arcsinx + √T=x²) = arcsinx

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Q: 6=(-1,3) and 2 = (-11, -2).

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Q: (x² + x)ex³+³x dx

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: Select the basic integration formula you can use to find the indefinite integral. 1 이 U 7 (7t - 9)²…

A: The given integral is ∫77t-92+100 dt

Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. S sinxdx 7+ cos²x

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Q: Sketch a continuous curve for which each of the following statements is true. f(-1)=0, f(0) = 2,…

A: According to question,Given conditions,f-1 = 0,f0 = 2,f1 = 4,f'-1 = f'1 = 0,f'x &lt;0 for the…

Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: Use the graph of y = f(x) below to graph y = f(-x). 5 -4 -3 -2 4+ 3+ 2+ -1 -2 + -3+ -st

A: By using the graph of y=fx below to graph y=f-x.

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Q: Use a combination of substitution and parts to evaluate the integral sin(7√x)dx: Step 1:…

A: We have to find integration of above question.

Q: 2. S dx x√x4-4

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

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Q: Find the area of the unbounded shaded region. 3 (x - 1)³ -∞0 < x < -1

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Q: Find the constant a such that the function is continuous on the entire real line.. x² a2 a = g(x) =…

A: To find the constant  such that the function is continuous on the entire real line.

Q: Find the point on the curve r(t) = (5 sin t)i + (-5 cost)j-12tk at a distance 13 units along the…

A: Given : curve To find : Point on the curve r(t) at the distance 13 from the given point along the…

Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: Find the lengths of the two missing sides. X 30% y 24 21 Enter the value of a here. (You'll enter…

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Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Let f (x) = ln (1 + x + x² + x³) and ∞ n=0 Cnxn be the Taylor series of f at x = 0. Then the value…

A: Taylor series:- Taylor series or Taylor expansion of a function is an infinite sum of terms that are…

Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

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Q: 4. The formula A = P(1 + i)" gives the amount, A, of an investment of P dollars after n years at 1%…

A: As per the problem the amount A of investment P after n years at i% interest compounded yearly is…

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: (a) f(x) 15 for x < 2 for x ≥ 2

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