Let an be the n th digit after the decimal point in 57 + 8e. Evaluate an(.1)". n=1

Q: Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m lon...

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Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Differentiate. F(8) = (0 – cos(0)) sin(0) %3D f'(0) = %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a...

Q: E valuate sin" e cae de

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Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: In(t – 8) 5 7t3 b. y= | 8t

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Q: Use Table the limit of values to deftermine tim

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Q: y(t)=0.12t5−6.75t4+135t3−1120t2+3200t+9100yt=0.12t5-6.75t4+135t3-1120t2+3200t+9100 where y and t...

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Q: 8. The rate at which ice is melting in a small fish pond is given by dv %3D dt V1 + 2, where V is th...

A: Let's find. 

Q: Given the geometric sequence: 25, 6.25, 1.5625, ... Find an explicit formula for an. an = Find as = ...

A: The given geometric sequence is: 25,  6.25,  1.5625,  ....

Q: Graph the linear equation y = x – 2. Ay 4 2 -4 -2 -2 -4 Eguations

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Q: 4x3+3x2- 30x-33 da Consider the indefinite integral x2 - 9 Then the integrand decomposes into the fo...

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Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)? 2. у %3D х?(х — 1) (2х — 5)2

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Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the ...

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Q: The line through (1,-3, 4) that is parallel to the line x- 3 + 4r,y= 5-1,2 = 7

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Q: ind the volume of the solid generated by revolving the region in the first quadrant bounded by the c...

A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant...

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number x of comp...

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Q: 9. y = VF (2z –2²)

A: We can solve question no 9 as below

Q: Use the difference a+1 – an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: coS X =dx sin? x

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Q: From a balloon 905 feet high, the angle of depression to the ranger headquarters is 80°32'. How far ...

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Q: 6. Let f(x, y) = x3 – xy+ y. Find the critical points off and determine if they are local minima, lo...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: y tan x dx + In* ydy=0

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Q: Sketch the graph of any function that satisfies the given conditions. x-intercept at -1 and y-inter...

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Q: Given the function g(x) = 8x° – 60x + 96x, find the first derivative, g'(x). g'(x) = Notice that g'(...

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Q: dy Given the equation below, find dx 24x + 8x"y + y' 33 dy da Now, find the equation of the tangent ...

A: Given, the equation                             24x9+8x36y+y4=33 then diff. the above equation w.r. ...

Q: For the circle x^2+y^2=25 a. find y when x=3. Enter your answer as a list of numbers separated by c...

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Q: Verify F(x,y,z) = (2y + z )î + (x – z)ĵ + (y – z )k taken over a triangle cut from the plane x+ y+z ...

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Q: Let f(x, y) = x* + y* – 4xy. (a) Find all critical points of f. (b) For each critical point of f, us...

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Q: B. Find the area bounded by y = x2 – 2x - 3 and y = x + 1.

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Q: Fill in the template. We want the 3D TANGENT line to the associated parametric curve: r (t) = (tan- ...

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Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: 1. Solve the system by using A-1, the inverse of the coefficient matrix: x-3y+z =1 2х - у+ 2z %3D2 x...

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Q: Evaluate the following expression using a unit circle. 11n sin 6

A: Given that: sin11π6

Q: Find the derivative of the function. G(z) = (1 – 6z)Vz? + 1 %3D G'(Z) = Need Help? Read It

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: (1) Plot the graph of y = r³ – 3r – 5 = 0, and find where the curve crosses the T-axis and the y-axi...

A: The given function is: y=x3-3x-5=0

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: if g(x) = fcx)-メ+ Find %3D (5) © D.g

A: Hope the D indicate the differential of the functions.

Q: DeAndre and Leah are making origami cranes. Their goal is to complete 1,000 cranes by the end of the...

A: We have to solve given questions on the basics of Given graph.

Q: Q1. A Find by using chain rule, if f= u + cos'u u = x, at x=; marks) B) Graph the trigonometric func...

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Q: 2 dse the Reimann Integral to evaluate S v'dv.

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: I. Answer the following statements by providing the correct answers for each item. 1. Let F be a giv...

A: 1. Let F be a given point, and I a given line not containing F. The set of all points P such that it...

Q: 5txt i53巻-x) 5).04こ I5 lx+53 + I53x 151.97 - 53= 51x - 53メ 133 ー103:-2x

A: Given : 151.97=151x+1531-x

Q: y = ex between x= 1 and x= 4 The average rate of change of y between x= 1 and x = 4 is (Round to fou...

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Q: 10. Bonus: Let y = Va + Vx + Vx+ ... to infinity. What is the expression for y'? (Hint: Try to find ...

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Q: 3. Sketch OP = (3, -4, -2) including the rectangular prism that frames it. Use and label the axes, i...

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