Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Q2 a) Find a solution to the IVP: y" - 5y' + 4y = 0, y(0) = 6 and y' (0) = 2. b) Classify each…

A: First we shall find auxilary equation and its root then find the solutions

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

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Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: True or False: We have 8 ["v 0 √√xdx 12.

A: The given integral is: I=∫08x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: ketch the figures and show step by step solutions. Find the area bounded by the curve y = x2, the…

A: Topic = Area

Q: lim f(x) x → -2+ lim f(x) x →-2- O False O True 4 3 2+ 1+ -5 -4 -3 -2 -1/ 1 2 3 4 → 5x

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: 38. The amount of P 20,000 was deposited in a bank earning an interest of 6.5% per annum. Determine…

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Using Matrix operation

Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: Evaluate the following integral. √144-16x² dx

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Q: Problem 1. Solve these integrals using substitution (a) [ x(x r(x - 2)5dx, (b) [te²³² test dt.

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: e intervals on which f(x) = x² In x is increasing and decreasing, and the ervals of concavity and…

A: Topic:- application of derivatives Definition :-  Inflection point :-  The point of inflection or…

Q: For problems 1 - 16 use the method disks/rings to determine the volume of the sol the region bounded…

A: Here all question are not connected  According to bartley guidelines I am bound to solve only first…

Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Evaluate the following integral. R|N 2 L K|N - 6x sin x dx e *** 2 S (Type an exact answer. Use…

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Q: 4T (2n)-T(n) 4. Use Simpson's rule to approximate I'v = 3 2x3³ +23dx with S(40). Use the formula…

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Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: United Express, a national package delivery service, charges a base price for overnight delivery of…

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Q: -1-y 3) Evaluate the integral dxdzdy? 0

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Q: Find the value So X (x²+1)= dx

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Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: 2. S dt

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

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

Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

A: This question is related to Limits, we will solve it using given information.

Q: Maximize B=2xy2, where x and y are positive numbers such that x+y2=10. The maximum value of B is…

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Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: If f(x) = Σ n=0 M8 n=0 n + 1 -x" and g(x) = = n+ 2 ∞ Σ n=0 (-1)"+1", find the power series of(f(x) -…

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A: Basic conversion ways of polar form to Cartesian form are used along with concept of geometry.

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.