. Which one of the following statements is True? a. The logarithm of the sum is the sum of the logarithms. b. For a function of 2 variables critical points are either maxima or minima. c. The Least Squares Line minimizes the sum of the residuals for given data. d. The area of a region bounded by a curve, the x-axis from (finite) a to b is positive. e. Lagrange Multipliers is a procedure to find the definite integral of a function.

Q: Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest com...

A:

Q: Evaluate the integral using the trigonometric substitution x =2 tan0 . x3 %3D dx x² + 4 Vx²

A:

Q: For a. I got v=16-1.6t and 1.6m/s^2, b. 10sec, c. 80m., e. 20sec I have know idea how to solve for (...

A: d) Its maximum height = 80 m (from c) So the half its maximum height = 80/2= 40 m  

Q: Please answer the question and provide me the steps.

A: The linear approximation of y = f(x) at x = a is given by the formula f(x) ≈ L(x) = f(a) + f’(a)(x –...

Q: Find the local extrema points of the function f(x)=1 / x2−x.

A: Find the derivative for f(x) using the Quotient rule.

Q: Compute A × B or explain why you can’t. 2) Compute B × A or explain why you can’t. 3) Find A^t Given...

A:

Q: The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2* I...

A: Given function is By using the law of exponents x^m/x^n=x^(m-n), we get Differentiating with respe...

Q: 75. Evaluate / sin x In(sin x) dx. Hint: Use Integration by Parts as a first step.

A: Let,  

Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the parab...

A:

Q: f : [0,+∞)→R is continuity function and a>0. Explain that the integrals in the figure are equal t...

A:

Q: y=e−x3

A:

Q: Approximate the region under the curve Look at the image to solve

A: Width of each interval= (21-3)/3=18/3=6 so the partition is 3,9,15,21 For left Riemann sum we take t...

Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line ...

A:

Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the oute...

A: Given function is Let us consider Then,

Q: hello there, can i have help solving the attached problem

A: Anti derivative is integral. If F(x) is an anti derivative of f(x) then ∫f(x).dx = F(x) + c         ...

Q: Find the volume of the region that lies inside the sphere x2 + y2 + z2 = 2 and outside the cylinder ...

A:

Q: Compute coshx and tanhx, assuming that sinhx = 0.8.

A:

Q: If f is one-to-one and f(8) = 9, then f-'(9) = Preview 1 and (f(8)) Preview

A: f is one to one function, it means every x can give unique value of f(x). So f(8) = 9 Then , f-1(9) ...

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. - 1 k > 2 00...

A:    

Q: find the missing values in the following chart.  ∠ X                ∠Y                       side A ...

A:

Q: please show the work so that I can follow along and practice. i have been working on this same probl...

A:

Q: Test the series below for convergence. * sin(n) 4" n=D0

A: To determine the convergence of series.    

Q: Find the arc length of the curve x=(t^3/3 )−9t, y=3t^2+2 between t=−1  and t=2 .The approximate va...

A:

Q: The function graphed above is: Increasing on the interval(s) Preview Decreasing on the interval(s) P...

A: Consider the graph  

Q: in3 S (d-x)e*'dx calculate with out integra tien

A:

Q: If f(x) = a* + 2, g(æ) = x – 7 and h(x) = Va, then f(g(h(x)))= Preview

A:

Q: If f(x) = x2+1 for x > or equal to 0, then is arcf(x) has a tangent at x=1

A:

Q: Give an example of a function ƒ(x) that is continuous for all values of x except x = 2, where it has...

A: One way to ensure the function has a discontinuity at x = 2 is to have (x - 2) in the denominator.

Q: Find the critical numbers and interval of increasing from ___look at the image  1) critical number  ...

A: To find the critical points we set f'(x)=0 At the critical points, we find the function       

Q: Sketch the graph

A: We first make a table for the function x π/4 5π/4  9π/4 13π/4 17π/4 y 2 0 2 0 2

Q: y=f(x) 1 8y? = x2 – x* ,<x< curve segment is rotated about the x-axis. Calculate the surface area of...

A: We first solve the given equation for y  

Q: | 38. Use Fubini's Theorem to evaluate xe" dx dy. 0 Jo

A:

Q: n-1 87 n=1

A:

Q: evaluate using methods similar to those that apply to integral tanm x secn x.

A: Given integral  By using the identity we get

Q: May I have help on this problem please

A: Given that H(x) &gt; -1 for all x in [a,b] If -1 &lt; H(x) &lt; 0 for all x , then the integration w...

Q: calculate the indefinite integral.

A: first, we separate the integral  

Q: Consider the region in the First Quadrant bounded by y = 1/x and y = x^2 from x = 1 to x =2. Find th...

A: We first sketch the region using a graphing calculator  The shaded region will rotate about the x a...

Q: evaluate the definite integral.

A: Here given Use the standard result of integration as  

Q: a) Ś ingro find the value of the i od specify the integrel caiedes |-x2

A:

Q: Obtain the compliance matrix for the following transformation of the coordinates.

A:

Q: Express the side length of a square as a function of the length d of the square’s diagonal. Then exp...

A:

Q: Estimate the slope of the tangent line of the function f(x) = 7e* at the point x = e. (Use decimal n...

A: We find f'(x)  

Q: Find the slope and the y-intercept (if possible) of the line x = 4

A: x=4 line is parallel to the y-axis So it has slope=undefined       

Q: Please solve this

A:

Q: Use Property 11 to estimate the integral xxD esin x cos y dA, where is thedisk with center the origi...

A: We know that –1 ≤ sin x ≤ 1 and –1 ≤ cos y ≤ 1, Hence, –1 ≤ sin x cos y ≤ 1

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether th...

A: Let, Then we make a table for the left and right side of h=0 h y   h y -0.1 0.08377   0.1 -0.0...

Q: 2 cos(t)-2 Use scratch paper to fill the table below, and guess the value of lim;→0 h(t), where h(t)...

A:

Q: Given f(z) = 1. find the average rate of change of f(r) on the interval [4, 4 + h]. Your answer will...

A:

Q: Please provide the answer with the solution.

A:

Q: . Find the volume of the solid bounded on the front and back by the planes x = above by the cylinder...

A: