Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 16 (-3,2 - -/--) 48 9'

Q: Find the derivative of the following functions. 1. F(x): = ſª √³+8dt

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: Find the derivative of the function y=√4-3x.

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Q: 8) Solve the differential equation by using integrating factors. xy' = 6y + x2 y(x) =

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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Q: X Your answer is incorrect. Find the area of the surface generated by revolving the given curve…

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = [ x√√x² + 4dx

A: The given function is:Fx=∫xx2+4dxTo write the function for Fu

Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

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Q: Find points of intersection of the graphs algebraically.

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

Q: Consider the following function. √x, (1, 1) (a) Find an equation of the tangent line to the graph of…

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Q: A spring whose natural length is 14cm exerts a force of 53N when stretched to a length of 18cm. (a)…

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Q: Q1. Find the derivative of the following functions. a) G(x) = √²+3d f et -dt et b). H(x) = plnx +²…

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Q: 6 5 4 3 2- - 1 1 1 0 1 y = f(x) lim I-1 lim 2 h→0 T 3 4 5 6 7 8 Enter each answer as a whole number…

A: (i)  limX→2+ fx-5fx+4 = limx→2fx-5limx→2fx+4                          = limx→2fx-limx→25limx→2fx+4…

Q: Example 3.6.2 Sketch the graph of y = f(x) = (2) Answer: A. The function is not defined at 3, so the…

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Q: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

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Q: 2. Find f f'(x) = (x + 1)/√x f(1) = 5.

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Q: A differentiable function f has only one critical number at x = 5. What can we say about this point…

A: If first derivative is negative on left side of critical point and positive on right side, then it…

Q: St Can the Fundamental Theorem of Calculus be used to find ○ No, f(x) = √²+ x²-9 ○ No, f(x) = √² dx…

A: Given fx=∫04x2-9x+3dx

Q: Which value for 0 is a counter example to sin² 0 + cos² 0 = tan²0 as an identity? O O | સ sin² 0 +…

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Q: What is the integrating factor for the differential equation? dy dt + 3ty = ety ?(t) =   please show…

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Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: Given the graph of the following degree 4 polynomial function, find all of the zeros and their…

A: We have to find zeros of polynomial

Q: S: z = √x² + y², (x-1)² + y² ≤ 1

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Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . ................upper and lower limits…

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

A: Given, L-12s-1s32

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A: Solution of given question is written in below steps.

Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

Q: Problem 5: ( (a) Find the vertical asymptotes of the function Y 2² +1 3.r-2.r²

A: Given: a)     y=x2+13x-2x2 For rational functions,the vertical asymptotes are the undefined…

Q: 9. The marginal cost of producing a tablet computers is C'(x)=1200.06x +0.000012² (a) What is the…

A: Concept: We have given the marginal cost in form of the first derivative Integrating it we will get…

Q: Consider the function f(x, y) = xe" and the point P(2,0). (a) Find a unit vector that gives the…

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

Q: Can you please specfically tell me what the two intercepts are.

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

A: Recall: L-1s2s2+a2=cosat Given, L-116s16s2+1

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 6 √x - 30 x - 25…

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: 0 ( -1 tan x du Q\ find dy if (xay sinx=(√√ au) - y² cosi'x

A: Given data:- x-ysinx=∫x2tan-1xdu1-u-y2cos-1x

Q: Consider the ellipsoid x2+ y2+ 4z2= 12. Find the general equation of the tangent plane to the…

A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

Q: For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)?…

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Q: Write a recursive formula for an, the nth term of the sequence 28, 14, 7, .... a1 an ||

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Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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Q: (x-4) dx 2 x²+x-6

A: We can evaluate the given integral by using the partial fraction method.

Q: what

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Q: Consider the following. Function у = 5e1 - *2 (a) Find an equation of the tangent line to the graph…

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Q: What is the total change of f(x), if f'(x) = 4x² + 6, over the interval [-1, 2]? -18 ထို့ကြ ကြ O O…

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Q: Let R be the region between the graph y=x² and the line the cross sections perpendicular to the…

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Q: After using Long Division then decomposition into partial fractions (without evaluating the…

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Q: Two 766 newtons. Find the angle 136.3° 163.4° 13.1°

A: topic:- vector algebra

Q: In the indefinite Integral [In(cosh x + e*) A None of the given choices B D sinh x te cosh x + et…

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Q: An object is moving with v(t) = 4¹ and the position X(1) = 4. What is the position of the object at…

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