Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y) = ( ,   )

Q: Given sphere A₂: x² + y² + z² - 16x + 6y - 4z + 76 = 0 1. Solve for the center and radius of sphere…

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Q: Suppose that f(x) and g(x) are two functions and we know that: ƒ( − 3) = 0 g( − 3) = 2 ƒ'( − 3) g'(…

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Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the Maclaurin series for f(x) = cos s (x³). (Use symbolic notation and fractions where needed.)…

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Q: What is the equation of the curve that passes through the point (2, 3) and has a slope of ye-2 at…

A: Topic = Differential equation

Q: The population of a city is modeled by the equation  P(t)=449,512e^0.25t where t is measured in…

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Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: (−1)n-1 n Explain why the alternating harmonic series Σα 1 just state which test. Explain why it…

A: To explain why the given series is convergent.

Q: The population of a species of bird in an area can be modelled by the equation P(t) = 450 + 200 cos…

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Q: What is the average value of f(x), between x = 0 and x = 5 for f(x) = 2 + sin(x)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A table of values of a function f with continuous gradient is given. y012 Find x 1 2 38 2 1 5 7 9 4…

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Q: 10)  Find the general solution to the differential equation. dy dt = y cos(7t + 2)     please show…

A: To find the general solution of the differential equation.

Q: Use the functions below to find the given value. f(x)=x2 g(x)=x² ¹)(-2) (9

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Q: Find the domain and range of the function. (Enter your answers using interval notation.) g(x)=x²-5…

A: We will find the domain and range .

Q: 6 5 2 1 1 2 4 6 5 4 1 1 (c) Describe the relationship between the graphs. The graphs off and fare…

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Q: 3. f(3x - 5)(2r² - x + 5)dx

A: Topic = Integration

Q: Find the following for the given equation. r(t) = (e-t, 2t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: For the function, locate any absolute extreme points over the given interval. (Round your answers to…

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Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: To evaluate lim 6 sin x, use the theorem that states that if c is a real number in the domain of the…

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Q: x = 5. Use the difference quotient (Newton's quotient) to find when the function f(x) = 2x² - 4x +…

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Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: Step 2 Find s(2) by substituting 2 for t in s(t)= -4.9t2 + 750. s(2) = -4.9([ + 750 II Submit Skip…

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Q: explain

A: Please refer to the image below

Q: ).  Use separation of variables to solve the differential equation explicitly for u. du dt = 9 + 9u…

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Q: Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y-3y² and…

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Q: Draw the given optimization problem and solve. Find the dimensions of the closed cylinder volume…

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Q: Let f(x) Calculate lim z→-5- lim 2-5+ (−4 − x)² +3 if x = -5 4x + 23 if x = -5 the following limits.…

A: Given  f(x) = (-4-x)2 +3 if x≠-5  4x+23       if x= -5

Q: Find f. f '(x) = 1 + 3(sqrt(x)),    f(4) = 22 f(x) =

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Q: Let 14 f(x) = (3x²-5) 5 (- 5x² +9) ¹4 f'(x) = > Next Question

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Q: g(x)= 4-3x 3x² + x

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Q: Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =   PLEASE SHOW STEP BY…

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Q: runner

A: A runner is jogging at a constant speed of 3.9 miles per hour. a.) If d(t) is the distance the…

Q: Find a formula for the general term an of the following sequence. 4 6 7 {/, -25, 125, 5⁹ 625 3125⁹…

A: Use general term concept

Q: The loudness level of a sound, D, in decibels, is given by the formula D=10 log (10¹21), where I is…

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Q: Part A: If h(x) = f(x) + g(x), solve for h(x) in sin

A: topic:- calculus

Q: Answer the following completely. Given: tan α = = 2√6, cos ß = 1. csc a 3 I 5' αε[0,π] sin p < 0…

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Q: You are given the graph of a function f. Determine the intervals where fis increasing, constant, or…

A: Given,

Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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Q: nt The formula A = P 1 + describes the accumulated value, A, of a sum of money, P, the principal,…

A: Use given formula

Q: The following parametric equations trace out a loop. Find the t values at which the curve intersects…

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Q: An object moves along a line, where its velocity function is as described by the graph below. What…

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Q: Find the equation of the tangent line and the normal line at the p corresponding to the given value…

A: Let's find equation of tangent line and normal line.

Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: Sue's grade in her math class is related to the number of hours she studies. The rate of change of…

A: First, we formulate a differential equation by using the given data and then solve it by using the…

Q: 19. e +e=e**y

A: This is a problem related to differentiation. Please follow the procedure given below.