Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all of your work. 2e = 8

Q: dx J1- ² 2x + x°

A:

Q: After substitution is performed, which of the following is equivalent to xV4x² + 9 dx? 25 du 8. 25…

A: Here is the solution:

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: f(x)=x tan x с.

A:

Q: f f(x) = 3xm(=), find f'(8). %3D

A: Given query is to find the derivative.

Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 – r) + 7e

A:

Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an. n-00 3 - In…

A:

Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

A:

Q: Solve the following differential equations: d³y dy d?y 3- + 3 dx2 В. dx3 dxy=4e*

A:

Q: 25. Compute the Riemann sums for the function f (x)=x² on the interval [0,2] associated with the…

A: See this solution in below

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: Find the length of the curve 7(t) = (4t, In(t), 4t²) for 1 <t< 4 Add Work Submit Question

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 9, f'(9) = 5…

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: Match each graph type with its corresponding function.

A:

Q: P1: 2 cos-1 x dx 1xo

A:

Q: Find the curvature of the curve 7 (t) = (2 cos(t), 2 sin(t), t) at the point t = 0 Give your answer…

A:

Q: the derivative of f(x) = x% (x% +x% + x%

A:

Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

Q: Find the general solution of the given ODE x +1 y': y* +1 x? + r- - y? = x +4x + k Option 1 O Option…

A: integration

Q: how does csc x/ cos x is equal to sec^2 x/ tan x

A:

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: 2² – 2, a 3 is continuous everywhere. f(z) = O true O false

A: Given: fx=x2-2,  x≤3x+4,  x&gt;3   As we know that; The function will be continuous at x=a when,…

Q: dx (x² + 1)

A: To solve the given integral

Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: Use the integral test to determine the convergence or divergence of the series. 00 cos 1/k 21) E k2…

A:

Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

A:

Q: If 0 = Ø and R= 4/2, then F2 = %3D 4V2 F, F, V8 08 O 2 04

A:

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A:

Q: Select all that apply. For the quadrant in which the following point is located, determine which of…

A: Given query is to find function , which are positive for the point.

Q: 8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a.…

A:

Q: If f) = x*/x³ ++2 then 13x + 20x 2Vx +2

A:

Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

A:

Q: Determine C1 and C2 respectively. Determine c, and c, so that y(x) = c,e2" + cze" + 2 sin x will…

A: Given query is to find the value of c1 and c2.

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

A:

Q: Setup the iterated integral using the order dydx and dxdy. Sketch R. // (Va+ e") dA where R= {(x, y)…

A:

Q: Given: a= 22, c=24.1, zB = 67 C A Solve the triangle. (Do not round until the final answer. Round…

A:

Q: Find the Area bounded by the given curves. 1. у %3 х2, у32х+3 2. х2 - у -1, х3у -3 3. у 3 х2, у-2-х2

A:

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

A:

Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

A: