Write in logarithmic form. 10 5 100,000 3 243 O A. log 10/3 100,000 = 5 243 100,000 O B. log 10/35 = 243 10 100,000 O c. log 5 3 243 log 5100,000 10 D. log 5243 3

Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

A:

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: The given problem is solved below in detail.

Q: Solve the initial value problem y" – 6y' – 27y = 0, y(0) = a, y'(0) = 24. Find a so that the solutio...

A: Need to solve the initial problem. Given information: The initial problem is y''-6y'-27y=0, y'0=24, ...

Q: The given equation is f(x) = 1/2x4 − 4x2 + 3. Pls give the correct graph which corresponds with this...

A: The given function,  f(x)=12x4-4x2+3

Q: 2. v=i+k, u = 5i + 12j V = Find: a. u.v, l미, lul b. the cosine of the angle between u and v. the sca...

A:

Q: dy/dx: if x=tan(x+y)

A:

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

A:

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

A:

Q: Average Monthly Temperature The average monthly temperature (in °F) in San Antonio, Texas, can be mo...

A:

Q: 7. Consider the region R bounded by y = x², y = x,x = 0 and y = 0. Find the following. (a) area of t...

A:

Q: Given: 1. v = 2i – 4j + vV5 k, u = -2i + 4j – V5 k 4 2. V = i+k, u= 5i + 12j Find: |n| Ja| 'a.n b. t...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Use substitution to change the integral (3x + 4y)dA over the parallelogram with corners (0, 0), (...

A:

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A:

Q: 1 Let an = n > 3. nvinn Use the Integral Test to determine if the series > an converges or diverges....

A:

Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule; ∫xndx=...

Q: Ser sed d tanr dy

A:

Q: What are the inflection points?

A:

Q: Convergent Sequence If a1=√5, a2=fourth of √5 raise to 3, a3=eighth of √5 raise to 7, a4=sixteenth ...

A:

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

A:

Q: 9. S sin(4x – 2) dx

A:

Q: Solve for the Derivatives of the following functions. Final answers should be in simplified form y= ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 15. S 4cot 5x csc25x dx

A: Student has specifically asked for the solution to Question(15) only. Hence solution to that problem...

Q: A normal vector for the plane through the points (2, 5, 1), (3, 7, 0), and (2, 5, 2) is <

A:

Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of V ortho...

A: Solving questions

Q: If f(x) 5 tan (7 sin(2r)), f'(x) =

A:

Q: Suppose p is true, q is true, r is true, s is false. Then (-p v s) v (q ar) O True O False

A:

Q: y" (t) – y' (t) - 2y (t) = 12t - 6e2t; y (0) = 1; y' (0) = 0 |

A:

Q: Given that {an}n=1_is convergent such that a1 = V5 and an+1 V5 an- %3D Solve for lim an n 00

A:

Q: 2-x dr = - tn(4x* + 4x - 3) + 4x² + 4x – 3 16 (x + 3)*(x – 1)^ | F(x+2)* x+1 (x+ 3)(x + 2)(x – 1) x*...

A:

Q: Find the area between y = 1.1z + 5 and y = 2? – 4. The graphs intersect at z = - 2.5 and z = 3.6. 10...

A:

Q: 2. S(2 – 3e*) dx

A: According to given , only 2 solved .Given :∫2-3exdx

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A:

Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A:

Q: y = 4x2 + 16x + 9

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

Q: 1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the ques...

A: Solution of question is written in below steps.

Q: Find the laplace transform of f(t)= { t 02

A:

Q: Ferential Equations 2) y-16y 0

A:

Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A:

Q: f(x) = sin" a, find f'(x) Find f'(1)

A: Given f(x)=sin2(x)

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9kand the vector component of v orth...

A:

Q: 1. SSin³ 3x Cos² 3x dx 2. JSin* 2пу Сos$ 2пy dy 3. JSin8 3пx Сos83пх dx 4. STan“ x dx

A: 1) Given:        ∫sin53x cos23x dx Using powers of sine and cosine :      substitute u=3x→dudx=3→dx=...

Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: Using the separation of variabe method, solve the fllowing diferental equations a). dx

A:

Q: Determine whether the following series converges. k E (- 1)k +1, 22k + 1 k=1 Select the correct answ...

A: Heren the given series is: ∑k=1∞(-1)k+1k22k+1  

Q: * 1 For the next exact solution: y(t) -te*- y(0.2) is equal to- 25 25 0.2681280184 ) 0.1507778355 ) ...

A: We have to find value of y(0.2)

Q: 5. [4e2xdx

A:

Q: The cost of producing a car depends on the price of steel (s) in dollars per pound and the hourly wa...

A: