(a) dz (2z4 + 1)3

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: Ln(Sinx)dx

A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: Graph the function. f(x) = 3*

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Q: If u(t) = (sin(2t), cos(5t), t) and v(t) = (t, cos(5t), sin(2t)), use Formula 4 of this theorem to…

A: We will find the dot product.

Q: 15 If f(x) 2 sin : then f'(x)

A: We will find f'(x) of the given function f(x)=2sin-1x5 in the following step.

Q: Use the Fundamental Theorem of Calculus to cvaluate (1 - da

A: Integrate using fundamental theorem of calculus.

Q: Let g(x) = (t)dt, where f is the function whose graph %3D AY 21 1.5 1 0.5 0,5 1 -0.5 -1 a. At what…

A: Graph of function

Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: Suppose that f(x)=2x^−4+5x^−2 Evaluate each of the following: 1. F' (2)= 2. F' (-1)=

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Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: The graph of which function can be obtained by reflecting a graph of f(x) = cos x over the x-axis…

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Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: The function f(x) = 6(x – 5)2/3 is increasing on the interval %3D and is decreasing on the interval…

A: We are allow to solve one question and three subpart of question only so if you want rest of…

Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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Q: Sketch the region from the first quadrant, bounded by y = 2x2, x = 0, and x- 2y + 3 = 0, and find…

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the…

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Q: Approximating Sums Suppose you wish to approximate the area under the graph of f(x) = 2 cos(r) + 3…

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Q: 6. f(x) = 2x2-7x-11 Sx2 es

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Q: We must also convert dx into an expression involving u. We know that du dx, and so x3 dx = X du.

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Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Question 5 > Find the value V of the Riemann sum V = > f(ck)A¤k k=1 for the function f(x) = x² – 2…

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Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: 5. Consider the power series E (x-1)" n=1 n3m 6.1. What is its center? 6.2. Find its interval of…

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Q: Sind the a rea betwee h 2. メニリ and メ=9で

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Q: 2. 2. A = Fral eDen Value 2. 1- and eigen Vetor note

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: Sketch the region bounded by y = x2+2, y = 2, and x = 2, and find the volume of the solid generated…

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Q: -13x²+4x³+2x-7 x²+3x-2

A: see below the calculation and answers

Q: 2x-x -2x +1 3 2x-1

A:

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: Q1\ Differentiate the following x+1 2)y = ln- x-2

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

Q: n(x-3)" Find the series' radius and interval of convergence Zn=1 2n /n2+1 100 Paragraph B IU A Lato…

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Q: x3 Evaluate J (3-2x) using substitution

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Q: Describe the graph of the equation. r= 18 cos ti - 9 sin tj - O tis an ellipse in thez = 1 plane,…

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Q: 2013 2009

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Q: Question 1 If z=lm/x*+ y² + un /x²+y²+-tan 12 then the numerical value of dy? dx2 is equal to...-

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Q: tan The integral -dx is equal to ONE of the following. (HINT: Use Maclaurin series) (-1)" ó 2"+'(2n+…

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Q: lim x+0 v25 + 8x – 5

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Q: dx x+

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Q: At the beginning of an experiment, a scientist has 124 grams of radioactive goo. After 270 minutes,…

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Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

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Q: Find the radian measure of the central angle of a circle of radius 3 meters that intercepts an arc…

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Q: The equation y = log(x – 3) has a vertical asymptote at: X =

A: The graph of log(f(x)) has a vertical asymptote at the value of x such that f(x)=0.Example: for…

Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: Evaluate the limits. 4r +4 z 8 Enter DNE if the limit does not exist. a) lim g(z) = b) lim g(z) = c)…

A: Evaluate the limits

Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: d'y-2 dy t g = e dx² ニ dr

A: We will solve the problem.

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

A: