Determine if the limit 7 x+1 lim x-0 x -7 exists, and if it does, find its value. 1. limit = 2. limit does not exist 3. limit = -7 4. limit= = 7 5. limit = 8

Q: Evaluate the integral 2x + 5) (x² + 5x + 9) ³dx by making the substitution u = x² + 5x +9. + C NOTE:…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1let x2+5x+9=u

Q: Solve 7x + 5 = 3x –  11 then  x =

A: we have to slove the above question

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A: Solution: Given data, Position of an object = s(t)

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Q: 9 Given the graph to the right, find f(x)dx. ff(x)dx. 2 10- 8- 6- 4 2- 0- y 0 2 -4 6 8 10

A: Given the graph to the right, to find ∫29fx dx.

Q: ing or decreasing.

A: We have to find the following conditions according to the given information

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A: Given query is to find rate of change of x.

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Q: Given that x = 5 when y = 0, solve the following IVP:  eydy/dx = (2x − 4)

A: Given that       ey dy/dx = (2x-4)

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A: in the given integration dydx is given means first integrate with respect to y and then integrate…

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A: To evaluate the given indefinite integral.

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Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

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Q: +5 ο 2 -2. 7=1 4" n (2n)! 4/(1+1), (6(+1) ( 2 (n+1))! 4/20 (zn)! 2ntit. 1:m 1700 hod 2ntl linn (1)…

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Q: tan(t)+cot(t) 2. Show that csc(2t) = 2

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Q: For the demand function given, find the elasticity at the given price and state whether the demand…

A: q=800-5x Put x=83 q=800-5*83 q=800-415 q=385 dq/dx=d(800-5x)/dx  dq/dx=-5

Q: 10. Let C[a, b] be the vector space of all continuous functions on the closed interval [a, b]. Prove…

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A: Given that  a right angle triangle with side length. And a= 2 ; b= 3 and c= √13. And we find the…

Q: a Ab B Area A = 1,348 Area B = 2,385 a Area C = 3,052 Area D 1,622 C C/ D d X f(x) dx = (Simplify…

A: Let's find given integral value from graph.

Q: 8. Let A be an n x n matrix over a field K. Show that the mapping f defined by f(X,Y)= XT AY is a…

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Q: 3. Solve the inequality for x. (Hint: Take natural logarithm first.) * 1<e-¹ < 2

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Q: Use f(x) = 5x − 4 and g(x) = 2 − x2 to evaluate the expression. (a)     (f ∘ g)(x) (b)     (g ∘…

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Q: Find the reference angle for the angle given below. 4π/3

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Q: Solve each of the following s-domain functions into partial fractions:

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Q: 12 IF [¹², If f(x) dx = 15, then compute the value of the following definite integral. 6 f(2x) + 4…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.)…

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Q: 7. For the parabola 4x + 2y² + 8 = 0, fine the directrix. (a) y = x = (C) 3 N|WN| W | 2 (b) (d) x =…

A: Given query is to find the directrix of the parabola.

Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

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Q: N18 The Ratio Test was applied to a power series and simplified to lim (3x - 1). convergence? 1 R =…

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Q: Question 12 Find the Maclaurin series for the given function. sin 5x 8 n=0 O M: M: M: n=0 n=0 n=0…

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Q: 1. Determine if the Mean Value Theorem can be applied to the following function on the the given…

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Q: age Value Find the average value over the given interval. f(x)=x²+x-9; [0,18] The average value of…

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Q: Find the net change in velocity over [2,7] of an object with the acceleration a(t) = 20t – 4t² (in…

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Q: 29) y = 2x + 1; [1, 3] 9+ 8+ 7+ 6- 5+ 4+ 3+ 2+ 1 A) 7.5 2 3 4 5 X B) 12.5 C) 5 D) 10

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -5?…

A: Here, it is to find the arithmetic sequence with a common difference d=-5 .

Q: Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin…

A: Given 91+x

Q: Pls help ASAP. pls do it right.

A: