16 The expression log can be written in the form z12 A log(x) + Blog(y) + C log(z) where A B = and C =

Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: 11T Convert the angle to degrees. 18 00.6111° O 110° O 324° 11 3240 O none of the above

A:

Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y ln(...

A: Partial derivative  In partial differentiation take only one variable and treat other as constant .

Q: 25. Evaluate the following definite integrals. c) LIVII – x dx

A:

Q: 5] Sketch the graph of r(t) direction of increasing t. (sin t, 2 cos t) and show the %3D

A: Given: r(t) = (sint, 2cost)

Q: dy Find of the function given implicitly: 2xy + 8e = 8e. Evaluate the second derivative at the point...

A:

Q: Movie expenditures, in billions of dollars, on advertising in a certain format from 1995 to 2004 can...

A: 1999 is the fourth year from 1995.

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

A:

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

A:

Q: Find dy by implicit differentiation and evaluate it at the given point. dr tan (9x + 5y) = x, (0,0) ...

A: We know that; The chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxtanx=sec2x   Given: ta...

Q: Find the radius of convergence and the interval of convergence. k2 + 81 k=1 Radius of convergence: I...

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Q: Q// Sketch the region of integration and evaluate the integral 4-y xe2y -dxdy 4- y .4 0.

A: Find your answer below 

Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential ...

Q: Find the volume V of the described solid S. The base of S is the triangular region with vertices (0,...

A:

Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

Q: х3+ 4x2-9х-36 %3D 4x2+28х+48

A: Let's find. 

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: 3. TVI+ 1 dx (use trigonometric substitution

A:

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

A: Basic application of derivative problem

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

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

Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information. 

Q: ce the appropriate limit laws and theorems to determine the limit of the sequence. 12" C, = n! se sy...

A: Please refer to the image below

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ln(x2+1)

A:

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

A:

Q: [f(x)]", where n is a Recall the general power rule, which states that if the function f is differen...

A:

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x ...

A:

Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: Evaluate using substitution techniques

A: Given

Q: ds using the trapezoidal rule and Simpson's rule. Determine Evaluate The value of -ds is (Round to f...

A: Topic:-  integration   

Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

A:

Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...

Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: Evaluate the following limits. 1. lim (1+ Vw)(2– u? + 3w) 22 – x - 2 4. lim 6x2 – 7r +1 7. lim エ→ー1 ...

A: Topic:- limits 

Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: Consider how to use a 10x10 percent grid to solve a percent - whole - part problem. Briefly explain ...

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

Q: x5 lim x2 – 2sinx + 2x O 20 O 1 O 30 0

A:

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

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Q: S(2y + 3)?/ y+ 2 dy

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Q: Sam's Smoothies serves many kinds of smoothies by blending fresh fruits and yogurt. Alex loves smoot...

A: Given query is to find the amount spend on smoothie.

Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: Question 5: a. Convert 50/1 yarn count to denier count b. Convert 60/1 yarn count to dtex count

A: 5) a) 50.050  

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 92n an = n! Use ...

A:  

Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry