5. ƒ(x) = (x²+x−3)√√x²+x=3

Q: Given a function f(x) = 3x² + 4, what is the average rate of change of fon the interval [2, 2+ h]? O…

A: Topic = Functions

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim Write a…

A: topic - limits

Q: A sector with central angle ? is cut from a circle of radius R = 18 inches (see figure), and the…

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Q: he cone z^2= x^2+ y^2, for z ≥0, cuts the sphere x^2+ y^2+ z^2= 16 along a curve C. That is, C is…

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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: on for this differential equation problem:   The part of the normal to a curve, at any point (x,y)…

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

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x²-3x. (Use…

A: To calculate the Taylor polynomials T2 and T3 centered at a=3 for the function fx=x4-3x.

Q: estion 4, 6.2.7 Solve the triangle. a=3, b=14, c = 13 O > 13 points O Points: C A b=14 c=13

A: Please refer to the image below

Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

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Q: 2).  Draw the directional field for the differential equation. y' = 1 − y2 − x2

A: Given  y'=1-y2-x2

Q: i) Find the exact length of the curve 1 15 4x3 y y = ii) Find the exact area of the surface obtained…

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Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: figure to evaluate the definite integrals N 1 -1 -24 ²8(1 g(t) dt = Lg(0) y = g(t) + 1 2 3 4 5 rals…

A: Topic:- application of integration

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: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) 80 Σ n = 1…

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Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: 2. f 62³ +112²+6 da x

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: Find polar Ir>0 and Os0<2T. Coordinates of the points such that

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

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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: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: (A) C B) a (A) a B d с dx ex√4-e²x the integrand is transformed into? (a) cos²0 (c)-sin²0 (b)-sec²0…

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Q: New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet,…

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

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Q: a) i) Find the exact length of the curve 1 + 4 15x3 y ii) Find the exact area of the surface…

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Q: - Given: ƒ" (x) = (4x + 9)88 (3x + 1)¹4 (5x − 1)º(x − 2)5, where Dom ƒ (x) = (-∞, ∞) . Find all…

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Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: Consider the following equation. 7 y = +1 Find any Intercepts. (If an answer does not exist, enter…

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

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: Find the Taylor polynomial 7₂ for the function 3 O3+ (x-1)+(x-1)² 54 f(x)=√8+

A: We have to find the Taylor polynomial for the function f(x) at the number a=1. And power series…

Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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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: Use separation of variables to find the general implicit solution to the differential equation. 4…

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Q: 9. Let f(x) = 10 z+12 2 10 For each of the following limits involving f, either evaluate the limit…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

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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: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: . Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u +…

A: topic:- differential equation

Q: 1. What is the best method to use given a differential equation with f(x) = sec x? A. Method of…

A: We have to solve the given question and find the correct answer.

Q: 3. f(3x - 5)(2r² - x + 5)dx

A: Topic = Integration

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

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Q: 23) . Find the solution to the differential equation y' =    5y satisfying y(0) = 18.   y(t) =

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 8e¯t cos(2t), y(0) = 10, y'(0) = 0.…

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