Remaining "How Did I Do?" Uses: 0/1 Use the fact that: loga (x) = -1.6, loga (y) = 4.2, and loga (2) = -2.2 to evaluate the following: (A) loga () = -1.6+2.2 (B) loga (xy) -1.6+4.2 (C) loga (√2)= (1/2)(-1.6) =

Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: Let R be a plane region with area A whose boundary is a piecewise smooth, simple, closed curve C.…

A: Let's find.

Q: (a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = x/2 using four…

A:

Q: Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of the function…

A:

Q: 1. Use operator / elimination method to solve the given system dx dy + 2x + 2y+ 1 dt dt dx dy +2: dt…

A: Elimination method : In the elimination method, by using fundamental arithmetic procedures, we can…

Q: Write the given (total) area as an integral.  • The area above the x − axis and below y = 4x− x²…

A:

Q: 6. SHOW ALL WORK Solve the right triangle. Round answers to two decimals places, if necessary. B 11…

A:

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + = t³k (a) r'(t) (b) r"(t)…

A: Let's find.

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A:

Q: Write the first four terms of the sequence whose general term is given. 2n an n+1

A: Given: an = 2nn+1 To find the a1, a2, a3, a4 substitute 1, 2, 3, 4 respectively in place of n

Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

A:

Q: alyze and sketch a graph of the function. Label any intercepts, relative extrema, y = x² - 8x + 37…

A:

Q: 2) Find the area of the function f(x)=x² +4 for x=-1 tox=4.

A:

Q: 2 Find az/ax if the equation yz - Inz = x + y

A:

Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

A:

Q: A stock price is currently $40. It is known that at the end of three months it will be either $45 or…

A: We have to find the value of European put option.

Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 4 Sª √5 +…

A:

Q: Verify Green's Theorem by evaluating both integrals ON √ y² dx + x² ov - [/(2x - 2M) da dA R ax ду…

A:

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A:

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x6_ X lim x →∞0 x³ +9

A: We need to evaluate the following limit limx→∞4x6-xx3+9

Q: Finding Points of Inflection In Exercises 37-42, find any points of inflection and discuss the…

A:

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, S(0) =…

A: In this question we have to find the value of s(t).

Q: Find all solutions of the equation in the interval [0, 21). csc 0 7 3 If there is more than one…

A:

Q: Evaluate Evaluate I 3 = f₁²³ x² dx 1=[rde I= dx =

A:

Q: d²y_dy + y = 0 dx d³y_d²y dx³ dx²

A: Auxillary equation ism3-m2-m+1=0m2(m-1)-(m-1)=0(m2-1)(m-1)=0(m+1)(m-1)(m-1)=0m=-1.1.1  are the roots

Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

A:

Q: Question 3 Select all of the following tables which represent y as a function of a. I Y I x y I y…

A: Let's find.

Q: (D² − 4)y : 4)y = 8e²x - 12 Your answer

A:

Q: Identify and choose the appropriate quadric surface. Figure 1. Figure 2. Figure 4. Hyperboloid of…

A: Given that the quadratic surface      x2+(y2/16)+(z2/64) = 1

Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Using the Mean Value Theorem In Exercises 13-18, determine whether the Mean Value Theorem can be…

A:

Q: MY NOTE An open box of maximum volume is to be made from a square piece of material, s = 30 inches…

A: Given: S= 30 inches

Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

A:

Q: yk T cross-section 30 beview The base of a certain solid is the area bounded above by the graph of y…

A: We have to find the volume.

Q: Verify Green's Theorem by evaluating both integrals √< y² dx + x² dy = [] (ON - 3M) de dA ?х ду for…

A:

Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

A:

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A:

Q: Problem 3

A:

Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Find the magnitude of the given vector. (-4, 4, 7)

A:

Q: Finding an Indefinite Integral In Exercises 1-6, find the indefinite integral. 6. ·S(10² + x³/2) dx

A:

Q: Check the function y=x²+1 whether have a symmetry about x or y axis

A: