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Q: Suppose that we know that the function f(x) is differentiable at = a, then what must always be true?…

A: We have to choose correct option

Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

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Q: 5 1 dx 0* +5

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Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 309t + 37559…

A: Given query is to find the year when rate of change of population is 1236 people per year.

Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (sin(t), cos(3t), cos(t)) when…

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: Consider

Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Scot(x)dx

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Q: O In 17 lo 6

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Q: dx 4

A: Answer is in step 2.

Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

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Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: 5. f(x) = x(12.x + 8) 7. f(x) = 7x²/5+ 8x-4/5 %3D

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Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: 00 3+n converge absolutely, converge conditionally, or diverge? n- Does the series E (- 1)"- n= 1…

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Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: Find the definite integral using its geometric interpretation. Sketch the graph of the integrand. S"…

A: We have to find the value of the given integral.

Q: Diem 3. Sketch the region enclosed by the curves y = 2x, y = 2x², and find the area of that region.…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

A: Given query is to find the value of the integral.

Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: A rocket is launched from the ground at an angle measuring 0.63 radians. The rocket travels in a…

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Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

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Q: Current Attempt in Progress Consider the curve y = 6x3. The sketch of the portion of this curve…

A: Solve the following

Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

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Q: Solve triangle ABC if ZA = a = 37.1°, b = 11.5 ft, and c = 13.6 ft. Using the Law of Cosines, ft.…

A: Using law of cosines;a2=b2+c2-2bc cosαa2=11.52+13.62-2(11.5*13.6)cos37.1a2=67.72575a=8.229a ~ 8.23…

Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: Let ü =, v = where A and B are some constants. Given that ü + 80 = find the value of the product…

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Q: Question 4 Solve the initial value problem: y'= - 0.03y + 6 y(0) = 50 |3D %3D y(t) = %3D Question 5…

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Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: Q2/ Solve the Higher order differential Equations. (. d*y 16y = 0 2-

A: Here we have to solve higher order differential equation.

Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: QUESTION 11 Let D (x) =x2- 12x+ 36. Find the consumer surplus at the equilibrium x=3. E $ 25 $ 12 $…

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Q: Question Given f(x) dx = -9 and f(x) dx = -8- compute the following integral. 8f(x) dx Provide your…

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Q: (a) Express du / ax, du/ ay, and du / az as functions of x, y, and z both by using the chain rule…

A: Solving

Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5). (a) Find…

A: This question can be solved using the concept of equation of tangent and length of curve when the…

Q: The following table gives the approximate amount of emissions, E, of nitrogen oxides in millons of…

A: Please see the explanation below and appreciate my efforts...

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Determine the area of the largest rectangle that can be fitted between the x-axis and the curve…

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Q: Find all the local maxima, minima, and saddle points ne function. f(x,y) = /56x2 - 8y² - 16x – 31…

A: When a function has the largest value it is called local maxima  and when it has the smallest value…

Q: x²y' + 2xy – 2y = 0

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Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

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Q: Find the determinant of the matrix. a. 8 4 b. 7 5

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