ind the area between two curves f(x)=8-x² and g(x) = x².

Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=x. The…

A: Our Aim is to find the approximation for 27.13 using linear approximationgiven that f(x)=x3.

Q: etermine whether the equation is exact. If it is exact, find the solution. 2e³ycosy + 1² С 2e¹ycosy-…

A: We have to find solutions

Q: Show that the sequence defined by 1 a₁ = 1 an is increasing and an < 3 for all n. Deduce that {an}…

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Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 12. State the values…

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Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: 1. a₁ = 2n-1 an 2. An= 5n - 3 an 3. a = n(-2)

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: ANSWERS Newton's law of cooling states that the temperature of an object changes at a rate…

A: We will find the required solution.

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: *find the decomposition of the partial fraction for the nonrepeating linear factors. 9. 10x + 47 x²…

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Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: 8] n=1 1 n√n +1

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Q: If an> 0 and Σ an converges, then Σ(-1)"an converges.

A: We have to check wheather it is true or not

Q: The system x' = cos(t)x+ sin(t)y y' = cos(t)x - sin(t)y is linear.

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Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: Given the function graphed below, evaluate the definite integrals. - 4 3 یبا 3 2 1 -1 -2 3 [' = f(x)…

A: From the given graph, we have to find the value of the definite integrals.

Q: (Q8.6) Choose five other iterated integrals that are equal to the given iterated integral. 10 10 10…

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Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 2, t> 0

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

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Q: Solve: y" + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp=A A_____ B с = A…

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Q: The eigenvalues of a square matrix A are the numbers À for which the matrix A-XI is regular.

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Q: Find the domain of the vector-valued function given below. r(t) = √√16-t²i+ 1 t+6 j+(t−4)k

A: We have to find the domain of the vector-valued function rt = 16-t2i + 1t+6j + t-4k

Q: Funktionen f(x) har följande graf: -3 -2 w 1 101 5- -10- Vilken, eller vilka av funktionerna nedan,…

A: Disclaimer: since you have asked multiple sub parts of a question, we will solve only first three…

Q: Find the area of the region between two curves f(x) = 3x + 1 and g(x) = x from x = 0 to x = 1.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: Which of the following functions (there may be more than one) are solutions of the differential…

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Q: Let y 3x². Find the change in y, Ay when x = = 4 and Ax = : 0.2 Comm Find the differential dy when x…

A: We have to solve given Questions.

Q: Solve the initial value problem. ds dt I cost- sint, s = 3 2

A: To solve the initial value problem.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}

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Q: hot (1603).png the given initial hot (1597).png Determine (without solving th Find the solution of…

A: Here we have to solve the differential equation.

Q: 3. Explain why lim √2x - 6 does not exist.

A: 3. The given limit is limx→32x-6 Note:    Multiple questions are given, we are answer with only one…

Q: PART 2: Obtain the general solution dv V dP P Obtain the particular solution y' = 1 + y² such that…

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Q: Determine the independent and dependent variables on the given differential equation: - (5²) -15…

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Q: Evaluate [C 02 6 3 10 160xy³ dydx

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Q: valuate the integral 1₁ To xy”ddy. o 25 4 105 4 ) 15 4 D 135 4

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Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

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Q: 3. Find the Taylor polynomial of degree 3 centered at x = 4 for the function defined by f(x)=√x.…

A: To find out the Taylor polynomial of degree 3 for the given function and also find out the value of…

Q: Use linear approximation, i.e. the tangent line, to approximate 36.2 as follows: Let f(x)=√x. Find…

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Q: appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace 1 { (s² + 1)(s² + 25).

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Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

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Q: the degree of the following polynomials functions: a. f(x) = x^5  b. f(x) = (x^2)^3  c. A cubic…

A: Given the query is to find the degree of the polynomial.

Q: Find the standard form of the equation of each ellipse satisfying the given conditions Foci:…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given, L-11s2+1s2+25

Q: If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

A: Let's solve.

Q: -9-8-7 6 5 4 3 C Ce N f 5 w N www T P Mar www ww S d Write an equation for the ellipse graphed in…

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