Consider the function f(x) = x² - 98x² + 4, −6 ≤ x ≤ 15. This function has an absolute minimum value equal to and an absolute maximum value equal to

Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: ENAS X dx 1+419x

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Q: Evaluate:L{e-3t} = ! Blank 1 Blank 1 Add your answer

A: Let's find laplace of given function.

Q: Let g(x) = 4x³ + 9x² − 12x + 7. Suppose n is the number of critical numbers of g(x). Let x1, x2,…

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Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

Q: Use the Divergence Theorem to evaluate [/F. and find the outward flux of F through the surface of…

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Q: ST sinx + 2 cos x dx

A: we have to evaluate the integral ∫0π sinx  + 2cosx dx

Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: 4. ["s 0 sinx + 2 cos x dx

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Q: Find the distance between the point P(1, 1, 1) and the surface x² + 2y² + 3x² = 1.

A: Given Point P1, 1, 1 and surface x2+2y2+3z2=1

Q: A farmer wants to fence in 6000 m² of land in a rectangular field along a straight road. The fencing…

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Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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Q: 6. a) Determine whether each series is convergent or divergent. Carefully explain your reasoning.…

A: Given       ∑n=1∞1+3n1+4.3n                         let  an =1+3n1+4.3n…

Q: Consider the following function and point. f(x) = f'(x) = (a) Find the derivative of the function.…

A: We need to fill in the blanks.

Q: a and d needs a solution

A: This question is related to Laplace transform and differential equations, we will solve it using…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 5, y(0)…

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Q: The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of…

A: Given :- ∫02sinx-2dt  is transformed  into ∫-11g(t) dt

Q: Solve the following system of simultaneous using Cramer’s Rule 3x – 3y + z = 5 4x + y + 2z = 3 5x…

A: Given   System of equations 3x – 3y + z = 5 4x + y + 2z = 3 5x + 3y + 4z = 2

Q: 3. A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed. a.…

A: Angular velocity= θ/t , θ= 2π×number of revolution per unit time  Linear velocity= radius× angular…

Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: find the angle between the pair of vectors to the nearest tenth degree 7i-5j,2i-8j

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Find the directional derivative of the function at P in the direction of v. √2 2 f(x, y) = x³ - y³,…

A: Given problem:- Find the directional derivative of fx,y=x3-y3 at point P8,3 in the direction of…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the curl of the vector field F. F(x,y,z) = x sin(y) i - y cos(x)j + 5yz² k Part 1 of 3 It is…

A: The objective is to find curl F.

Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: √9-x Consider the following double integral 1 = So So By reversing the order of integration of I, we…

A: Mark the limits on the graph and then reverse the order

Q: Find the definite integrals of the following. 1. 2. 5 2x -dx x²-5 fe²dx 1n 5

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Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: Consider the function with the graph below. -6 (Click on graph to enlarge) What is the Domain? What…

A: To find out the domain and range of the function from the graph.

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: lim t→∞ - 4t9 t² - 9t + 5

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Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: Find the average rate of change of the function over the given interval. (Round your answer to three…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use the Laplace transform to solve the following initial value problem: y" - 2y +26y=0 y(0) = 0,…

A: The given initial value problem is y''-2y'+26y=0, y(0)=0, y'(0)=5

Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Consider the function f(x) = 2√x+1 on the interval [4, 7]. Find the average or mean slope o the…

A: We will find the required.

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given that , Point =14,-12 ,7 and line x2=y-4-1=z Find the equation of the plane.

Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: Determine whether or not the relation is a function and then give its domain and range in interval…

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Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: tf(x) be a function defined on [0,8] whose derivative has the following graph: Figure 1: Graph of y…

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