Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

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Q: 3x² + 3 = In 5xy² 2

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Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: Write the sum using sigma notation: 8 + 12 + 16 + 20 + ...+ 36 = ) B, where n=1 A = B =

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Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

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Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

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Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: mental Theorem of Calculus to fin

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Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: I am confused how to find the critical point

A: To find the critical point you need the step 2:

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 24 3 4 + 1+…

A: Given query is to find series converges or diverges.

Q: 1. Sketch the graph of each function in [0, 27n) by transforming its parent function. (a) y = cos(x)…

A: By using the online available graph plotter we will graph the each function in [0,2pi).  As per…

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: Answers

A: We will find the derivative using Chain rule.

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

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Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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Q: . Evaluate the double integral S, S f(r, 8) dA, and sketch the region R. 5. S/² s V9 – r² dr d®

A: Let's find.

Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: 3 If f(2) - 8, and f'(2) 4 - 1 Let f'(x) be the inverse function of f(x). (f-1)'( - 8) = - 1 Write…

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Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

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Q: Solve the following differential equation y" + 2y'+y = x-1

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A: Above asked questions are given below.

Q: Consider the two series: 6n (a) > 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is…

A: Use roots test for checking the convergence  of the series .

Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: In each case determine if the Diophantine Equation has a solution. If it does find two solutions.…

A: Euclidean algorithm: Note that the greatest integer that divides both A and B is the Greatest Common…

Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

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Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: 3/2 <(のーメ)CK dx 2. 2.

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Q: 2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following…

A: Solved below.

Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 4- 2 3 -2 -3 -4 A(2) = %3D…

A: Explanation of the answer is as follows

Q: Find the Maclaurin series for the given function f(x) = e-6x

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the…

A: Summation Thorem formula states that               ∑i=1ni=nn+12

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/d-definition of the derivative to prove that f(2) = 9.

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Q: 1. Answer the following questions for the quadratic function f (x)=x² -8x +8 . a. Calculate the…

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Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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