(b) ) п? + 2n n=1

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: ∫4x1.1-10xdx∫4x-1.1-10xdx

Q: Find the critical numbers of the function f(x) = 2x3-15x2+36x - 24. %3D O a -2 and3 O b. 2 and 3 Oc....

A: Topic = Algebra & Derivative

Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), ...

A: We will find the equation of ellipse as shown below

Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

A:

Q: Rewrite the rational expression using the method of partial fractions. 4(v)(y+ 2)(y – 3) 4y2 - 2y – ...

A:

Q: Is the series convergent or divergent? Explain in minimum of two sentences. +oo Σ n2 – 1 Un n=1 n2 +...

A:

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

A:

Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

A:

Q: A particle moves along the curve y = V1+ x3. As it reaches the point (2, 3), the y-coordinate is inc...

A:

Q: Find an equation of the parabola that has a focus at (2, 17) and a vertex at (2, 9) y = Find an equa...

A: Follow the procedure given below.

Q: Example 8: Reflect the shape over x = 3. Еxam Find the coordinates of each image. W' X'

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

Q: iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power func...

A: (a) The parent function for k(x) = 3(x+3)^3 -2 is the power function y=3  

Q: Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be...

A:

Q: Find the derivative of v(t) = t5e-d Assume that c is a constant. v (t) =

A: Topic = Derivative

Q: 9) Find the center of mass of the plate of uniform thickness and density formed by the curves: y=4-x...

A: To find the solution

Q: Find the average value of the function f(x) = 3x2 on the interval 2 <x < 6

A: Given,            The function is fx=3x2 and the interval is 2≤x≤6.To find : The average value of th...

Q: Find the sum of the scrics k – Vk2 – 1 Vk(k + 1) - k=2

A: we will find the sum using sequence of partial sums. 

Q: The solution of the first order linear differential equation y' + ycotx %3D

A:

Q: Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F...

A: Yes, there is a method to directly approach the answer with out just cross checking the options.

Q: Find the average value of f(x) = ln x on the interval [1,2].

A:

Q: Find the volume of the resulting solid if the region under the curve 6 y = 2 x + 3x + 2 from x = 0 t...

A: To the  find volume.

Q: Determine the interval of convergence of n2 +1

A: Given problem:-

Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving remainin...

Q: Consider the function f() = 2r + 8 on the interval [-7, 5]. Find the absolute extrema for the functi...

A: Given: f(x)=2x+8, [-7,5]

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct fl...

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

A:

Q: Evaluate by any applicable method. 3 1 dx x2 –6x+10 4 None of the choices. Please refer to my soluti...

A:

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

A: topic - functions and derivatives

Q: dx and 3. Given the following parametric equation: =3t^2, =t^3+4. Determine without eliminating para...

A:

Q: =D1

A:

Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

A:

Q: +00 e n Σ (x + 4)"- n! n=1

A: The given power series,       ∑n=1+∞enn!x+4n

Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: (x – 6)? (y – 4)? = 1 Given the ellipse 4 25 Find the center point: (6,4) List the four vertices:

A:

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

A:

Q: Q. Find the fourier Sesies of { 6) = -7t 一元く M2O Hence, dedute Sd) 공-능+능+

A: Please check the statement

Q: Arctan(x) ln(x^3 + 2) find the derivative    F(x) = arccos(3x^2) find the derivative

A:

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: biz' dt 2

A:

Q: 1. Show that function f(x)=D|x | is not differentiable at 0

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Q1) Graph the following functions and determine (domain & rang): (a) y= 2sin2x, (b) y=1 + 4 + x (c) ...

A:

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

A:

Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: Suppose that the functions fand g are defined as follows. f(x) = -5x²+1 g (x) = /x+3 Find f-g and f....

A: (f-g)(x)=f(x)-g(x)(f-g)(x)=-5x2+1-x+3Domain x+3≥0x≥-3Domain of f-g : x∈[-3,∞)