Find the average value of g(t)=3^t+5 over the interval [1,7]. Round your answer to the nearest hundredth. Average Value:

Q: Question 1 2 The expression O True 3 4 4x +9 16x²-81 5 simplifies to 1,, where ** 4x+9 44 O False of…

A: Let, f=4x+916x2-81 f=4x+94x2-92 f=4x+94x+94x-9 f=14x-9≠14x+9

Q: 5) y = sec 0 2 Ma M Al

A: To sketch the graph of the following function by using radians by creating a table of coordinates…

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A: Given that, a trapezoidal plate with height = h, Bases = a, 2a, and the weight density constant = δ.…

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A:

Q: For the regions bounded by y = 6cosx and Part A: Find the limits of integration. | y=x²-7₁ 5 Part B:…

A: Given that , y=6cosx and y=15x2-7

Q: The velocity of a car is f(t) from t=0 to t = 10 seconds. distance = = 13t meters/second. Use a…

A: The velocity of the car,  f(t)=13 t m/s Time taken t=0 to t=10 sec

Q: √√2x-x² 7. Express the integral [²√√√²* A. B. C. D. E. •2π cos [²* " ["zrdz dr de = 1/2 fzr dz dr de…

A:

Q: Given the differential equation y"-4y= 2e-t-6e¹t, y(0) = 0, y'(0) = -1 Apply the Laplace Transform…

A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: Compare the two quadratic equations listed below and explain how their graphs differ using the…

A:

Q: Describe how you would sketch a quick graph of a polynomial if it was given in factored form (…

A: The factored form of the polynomial p(x)=(x-a)(x-b)(x-c)........ The standard form of the polynomial…

Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A: fx=2x5+x-1 Leading term = 2x5 Degree = 5 Leading coefficient =2

Q: Find (f ¹)'(a). (F-¹)(a) = f(x) = 4x³ + 3x² + 5x + 9, - 3x² + 5x+9, a=9

A:

Q: Determine whether the statement is true or false. True False •[º [F(x) If f and g are continuous on…

A:

Q: 3) f (x, y) = - 3ху x² + y

A: fx,y=3xyx2+y

Q: 5. Suppose the series anx" has radius of convergence 2 and the series bx" has radius of convergence…

A: The series ∑anxn has a radius of convergence 2 and the series ∑bnxn has a radius of convergence 3.…

Q: O f(x) dx =

A: Find integration of f(x)

Q: Find the integral. Use C for the constant of integration. [2x(1+2 2*(1 + 2x)3 dx

A: Let,  I=∫2x1+2x3 dx Substitute,  1+2x=t 2x·ln2dx=dt 2xdx=dtln2 So,  I=1ln2∫t3dt ∫tndt=tn+1n+1…

Q: Consider the function f(x) = 3√x + 6 on the interval [2, 9]. Find the average or mean slope of the…

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Q: y=x4 - 5x³+3; x = 1 How would the slope of a tangent line be determined with the given information?…

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Q: There are three options for investing $850. The first earns 11% compounded annually, the second…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subaprts…

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

A: Limit and continuity

Q: Find the exponential model y = aebx that fits the points shown in the table. (Round all coefficients…

A: Function

Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A: fx=2x5+x-1 Comparing this with equation  fx=anxn+an-1xn-1+.......... We get, n=5 , an=2 n=5 (odd)…

Q: Refer to the figure. Show that a + ß = y, and find the numerical value of tan(y). 8 α tan(y) = a + ß…

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Q: Let P(x) = : 5x² + 7. Estimate the slope of the tangent line of this function at the point x = 4.…

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Q: If f is continuous and 4 0 f(3x) dx. 12 [™* f(x) dx = 50, find

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Q: What form do planes perpendicular to the y-axis have in spherical coordinates? B) Q = a csc o csc 0…

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Q: Evaluate the following indefinite integral. Use C as your arbitary constant. £24,25 dx

A: We know that the the integral of x^n dx=x^(n+1)/(n+1)+C  Where C is an integral constant

Q: ∞ Σ n=1 n n+300

A:

Q: In Problems 1-10, solve the given differential equation by using an appropriate substitution. 8. dy…

A: To solve the following differential equation by using an appropriate substitution. dydx=x+3y3x+y…

Q: (5) Use the Mean Value Theorem to prove: If f(x) and g(x) are differentiable on an interval (a, b)…

A:

Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

A: a) The average velocity on the interval [1, 3] is given by: ⇒average velocity = (change in…

Q: If $1100 is invested in an account that pays 4% compounded annually, the total amount, A(t), in the…

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Q: Find the integral. Use C for the constant of integration. 1 √1 - (2z)² dz

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Q: -10 foci Find the foci and asymptotes, asymptotes Find an equation for the hyperbola. -5 (x, y) =…

A: Now the equation of hyperbola is of the form:y2a2-x2b2=1Here a=6Therefore:y236-x2b2=1

Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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

A: limx→0+3x-3tanx  To find the limit.

Q: Construct and graph the cubic Bézier polynomials given the following points and guidepoints. a.…

A: The end points information implies that x0=1, y0=1,x1=6,y1=2 The guide point for x0,y0 is given by…

Q: Find the area of the region bounded by the spiral r = 70 for O≤OST. The area is (Type an exact…

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Q: S √x (a) Explain why this integral is considered an improper integral. (b) Determine whether this…

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Q: 5) f(x, y) = ln(x³y+y)

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Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: 2. Consider the piecewise function: a) Sketch the graph of y = f(x). b) Evaluate lim f(x). X→3 f(x)…

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Q: Identify which step is incorrect in graphing g(x) = -2(x-1)4-1 Step 1: Shift right 1 unit Step 2:…

A: Given that, the function             g(x) = -2x-14 - 1

Q: A rocket is shot straight up into the air with an initial velocity of 192 ft/sec, and its height s…

A: st=-16t2+192t

Q: Evaluate the indefinite integral. Answer: +C cos(5x) dx 1+ sin² (5x)

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Q: Evaluate the limit numerically or state that the limit does not exist. (Give your answer to three…

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Q: The percent P of defective parts produced by a new employee t days after the employee starts work…

A: Given: P=t+179050(t+2) We are required to find: a. dPdt at t=1b. dPdt  at t=10

Q: Write the sum 1+2+3+4+5+6+7+8 using sigma notation. The form of your answer will depend on your…

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Q: the region bounded above by the sphere x² + y² + z² = 4 and below by the cone z = A) — 7 (2-√√2)…

A: