1. Write the first 5 terms for 1 -|~1/2 Xn

Q: 10. Calculate (a) 3 (b) 0 (c) 15 lim x⇒1 (d) 13 (e) does not exist x18 - x3 x5 - 1

A: We are required to find the value of : limx→1x18-x3x5-1

Q: The decay of a radioactive substance can be represented by more than one exponential model. explain.

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Q: Find the most general antiderivative or indefinite integral. Check your answer by differentiation.…

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Q: Find the tangent plane to the equation z = z = - 3x² - y² + 4y at the point (2,-1,-17

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Q: 1+x 1+x² dx

A: We are required to find: ∫1+x1+x2dx

Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: Given : f(x)=x8h(x)             h(-1)=4       h'(-1)=7   To Find : f'(-1)

Q: 1) a) Find the Area of the given sector. b) Find the length of Arc BC. с I A O r-3 . B r-radius= 3…

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Q: If f(x) = 3 arctan(7x), find f'(x). Find f'(3).

A: Given that

Q: Using implicit differentiation to find the first derivative for the equation 7x² + 5x 21 = Oequals,…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: 3. The function v(t) = t² - 4 is the velocity of a particle moving along the x-axis, where t is…

A: Given :- The velocity function of the particle is vt=t2-4. a) The velocity function of the particle…

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: The function is fx=6xx2+2, 1≤x≤3.

Q: For the function f(x) = x² − 5x³ + 9x² + 13 determine the intervals of concavity and the points of…

A: Here need to find out the intervals of concavity and also the points of inflection.

Q: Evaluate the following indefinite integral. tan(arccos(3t)) /1 − (3t)² dt = help (formulas)

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Q: Find the most general antiderivative of the function f(x) = 4x − 4(1-x²)-1/2, where -1 < x < 1. Use…

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Q: find lim [(x+1)/(x2-x-2)] X --> 1 2/3 Onone of these answers O-1 O undefined

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Q: Let y = 2√x. Find the change in y, Ay when x = 4 and Ax = 0.1 Find the differential dy when x = 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 . here we have x=4.1…

Q: Graph: y=2cos2x+4

A: To graph the following function. y=2 cos2x+4

Q: 2. Determine whether the vector field F = 3x²yz4i+x3³z4j+4x³yz³k is conservative and explain your…

A: F= 3x2yz4i+x3z4j+4x3yz3k

Q: 1. Evaluate each integral by first making an appropriate substitution. 9x² 16x3 (a) fx(x² - 1)¹ dx…

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Q: If the region under the graph of y = x² + from 1 to x = 5 is rotated about the x-axis, - then the…

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Q: Solve the problem. Find the tangent line(s) at the pole for the curve r= 8 sin 30, 00< e = 0 (y=0),…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: The given curve x=t and y=t2-2t. We have to find the equation of the tangent line at the point t=9.

Q: Find the divergence of the vector field F = div F =

A: given, F¯=&lt;3zcos(x),5zsin(x),7z&gt;

Q: Find the derivative and simplify fully. You MUST show all the steps clearly a) f(x) = 2e³x - 3 In…

A: Given: a. f(x)=2e3x-3ln(2x)b. f(x)=sin2(xlnx)c. f(x)=tan(lnx2+1) We are required to find: Derivative…

Q: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

A: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

Q: Write an equivalent double integral with the order of integration reversed. 10 ((-- dy dx 10 10 dx…

A: NOTE: Refresh your page if you can't see any equations. . the limit of x is 0≤x≤10 the limit of y…

Q: Given the function of f(x)=9x^2+8x−3 on the interval [1,2], find a point c between 1 and 2 so that…

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Q: 10. Use Euler's Theorem to show that 5(16). Show =1 (mod 16). your work or explain your reasoning…

A: The objective of the question is provided the given identity by help of Euler's Theorem.

Q: 2 Graph g(x)=+3x-10 Clearly show all asymptotes, and the behavior of the function near the…

A: We are given the following.

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) 63 =…

A: arctan(x) = csc-11+x2x

Q: Find the local maximum of f(x) Be sure to show your work for x + 2 x² +6

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Q: Approximate the area under the graph of ƒ (z) = − 32² + 32 over the interval [1,9] using 4…

A: Solving the following problem

Q: find derivative of f(x) = x (x²+3x) O x² +3x O x² +6x O 3x² +6 x O none of these answers

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Q: Find the area of the shaded region below.

A: fx=5x-x2, gx=x,

Q: Show whether or not the vector field F(x, y) = (ex² + y², 2xy - siny) is conservative.

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Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

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Q: Complete the following steps for the given function, interval, and value of n a. Sketch the graph of…

A: To first plot the function and find their area using riemann sum. According to our company's…

Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y

Q: Encuentre la solución particular para la dy dx Para la barra de herramientas, presione BIUS Ꭶ =…

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Q: The first derivative for the function f(x) fi(x) 7 - 5ex 13 X True False = -5e - 7 ln x - 13x

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Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

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Q: 13. Let C be the curve with parametric equations === P²+2, v=P²-1, 15152 Find the length of the…

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Q: The area of the surface generated by rotating the curve y = 2 = cos(4x), - where 0≤x≤ T/3, about the…

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Q: 44. dt cos²t√1+tan t CO

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Q: Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux.…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function at a = 0. Use exact values. f(x) =…

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Q: 1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² +…

A: since you have posted multiple questions i can do first question( with three sub parts) as per our…

Q: Find d dx -(7 ln(x))

A: We know that derivative of ln(x) is 1/x

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = x. Find the…

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