ite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = Vx* + 8 (x), f(u)) = d the derivative dy/dx.

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0,...

A: Topic = Functions

Q: Show all of your work in this problem. Consider the infinite series k Σ k +1 k=1 (a) Write down the ...

A:

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

A:

Q: 6x+5x-1 lim X--1 7x-2

A: Topic = Limits

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: du (4-2) +4

A: Find your answer below 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: ∑k=1+∞181k2+63k-8f(x)=181x2+63x-8Use integral testlima→∞(∫1a181x2+63x-8dx)lima→∞(∫1a1(9x)2+(2×9×72)x...

Q: nt) Let f(z) be the function 6z2 – f(5+h)–f(5) 5z + 9. Then the quotient can be simplified to ah + b...

A: f(x)=6x2-5x+9then f(5+h)=6(5+h)2-5(5+h)+9                      =6(52+h2+10h)-25-5h+9                ...

Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: 5. f(x) = In(x + 5) – 2 Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= x→-5* lim f(x)...

A: Given : f(x) = ln(x+5) -2 To find : Domain, Range, Equation of Asymptote, and End behavior. 

Q: Se2*dx 8.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: 2. lim 2. lim f(x) = 1 and f(0) = -3 1. lim f(x) = -1 and f(1)DNE x-1

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: The temperature T (in °C) at a location in the Northern Hemisphere depends on the longitude x, the l...

A:

Q: Let f(z) = z – 6z. Calculate the difference quotient (3+h)-{(3) - for h = .1 h = .01 h = -.01 h = -1...

A:

Q: Sv-4 - y-3) dy

A:

Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

A:

Q: (A) Differentiate the given equation implicitly and then solve for y'. (B) Solve the given equation ...

A:

Q: f[x'+zy2,y²2x2], then prove that [y?-zx] (a?-yz] dy [z-xy] du -o. If

A:

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

A:

Q: A researcher is trying to determine how class attendance and sleep impacts student test scores. From...

A: x=number of lectures attended Row in table belowz=number of sleeping hours Column in table belowfx,z...

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A:

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

A:

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

A:

Q: Evaluate cosh jin 3 decimal places.

A:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Follow the procedure given below. 

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

A:

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: Let g(x, y) = cos(x + 2y). a. Evaluate g(2,–1). b. Find the domain of g. c. Find the range of g.

A: The function,      g(x,y)=cosx+2y

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7     

Q: 100 Find the measure of Zx. 113 mZx=° (Type a whole number.) Help me solve this View an example Get ...

A:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

A:

Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: ā xb = 6 x a а

A:

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

A:

Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: 2. Sketch the graph of f' given the graph of f. Explain how you found the answer. y 10- 9- 5- -10-9-...

A: The objective is to sketch the graph of f'.

Q: Question Select the correct category for each item. Let f(x) be a function and let a be a real numbe...

A: 1. limx→a f(x) =2, then f(a) = 2. When we are computing limits the question that we are really askin...

Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

A:

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given query is to find the equation of the line passing through indicated points 

Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as a...

A: If there is a sharp point at x=a on the graph , then function is not differentiable at x=a. If funct...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Series  convergence and divergence 

Q: 8 6. Let A -4 -2 Find two different diagonal matrices D and the corresponding matrix S such that A S...

A: Given:    2x2 Matrix is given

Q: zeros of the function f(x) = 12x - 19x2 - 101x - 60. Enten ced by commas.

A:

Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

A:

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A:

Q: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon