State whether the following is true or false by differentiation. [ cos² (x) dx = 2 x 1/x + 1/ sin(2x) + C +

Q: discuss the continuity of the function on the closed interval.

A:

Q: Give an expression for p (x) so the integral p(x) cos(7x) dx can be evaluated using integration by…

A:

Q: 5. 3n+2+ (3n+3 - 3n+1) 1 3n+1 1 3n+2 (A) (B) 3 (D) (C) 8 C | 100 | w 3

A:

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x :x > 5}. Find h. D'n (AUB)

A:

Q: Solve using Homogeneous Differential Equation and show step by step solution 1. (y+2)dx+(x-2)dy=0

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the first partial derivatives of the function. w = In(x + 9y + 8z)

A: Given that the functionw=ln(x+9y+8z) we have to find the first order partial derivative of the given…

Q: A cold metal bar at -80°C is submerged in a pool maintained at a temperature of 40°C. After 55…

A:

Q: F(x) = {e^ X-3 OLX Find lim F(x) x 70 im f(x) x 70

A:

Q: √√√√5 ²x dx - X A. -2√5-x + C C. √5-x+C B. D. √5-x +C -√5-x+C

A:

Q: Find the derivative of the function: F(x)=√x arctant dt

A:

Q: Let || || denote the standard Euclidean norm on R². The vector p = (-√√) is an interior point of the…

A:

Q: Use the graph of f(x) on [−5, 5], shown at right, for questions 4 - 6. Lf(x) dx 4. 5. 6. A. 9п - 2…

A:

Q: Solve using Homogeneous Differential Equation and show step by step solution y^2dx-(1-x)dy=0

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: For the solution follow the next steps.

Q: The graphs of two functions f and g are shown below. a. Write a function formula for g using the…

A:

Q: 3. (25-¹) + (25-²) (6250)+(25-2) द (A) 26 (B) (C) 225 26 115 (D) 0 D ||

A: To evaluate the following expression.

Q: Differentiate the function. 4x²-7 y= 3 9x + 4

A:

Q: Suppose f(x, y) = xy² + 4. Compute the following values: f(4,-5)= ƒ(−5, 4)= f(0,0)= ƒ(5,-5)= f(t,…

A:

Q: An electric dipole consists of charges +2e and -2e separated by 0.67 nm. It is in an electric field…

A: The objective of this question is to calculate the torque on an electric dipole in different…

Q: Find the point at which the line intersects the given plane. x = 2 − 2t, y = 3t, z = 1+ t; x + 2y -z…

A:

Q: Find two unit vectors orthogonal to both a = 1 + j and b=1-j+k

A: Unit vector orthogonal to both a and b is = n= a×b|a×b|

Q: Find sin(0), sec(0), and cot(0) if tan(0) = 24 (Use symbolic notation and fractions where needed.)…

A: .

Q: Problem 7: Find the length of the curve defined by y=2x3/2−9 from x=5 to x=10 correctly.

A: To find the length of the curve defined by  from .

Q: Find a pair of numbers whose sum and product are both equal to 32. (Use symbolic notation and…

A: A pair of numbers whose sum and product are both equal to 32.

Q: Part 1: The First Derivative Find the open interval(s) on which f'(x) is positive / negative. Type…

A: The given curve is a downward parabola.The first derivative is positive when f'(x)>0 and negative…

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the…

A:

Q: The domain of the function f(x, y) = 3x+5y x²+y²-4 is A. All the xy-plane except a circle B. The…

A:

Q: (7 x 10^4)(5 x 10^-3) compute the following. express answer in engineering notation

A:

Q: elevation change along each path? ? feet (b) Which path ascends more rapidly?? (c) On which path…

A: Elevation of path A= 9400Elevation of path B =9800

Q: Evaluate f(x + 3) when f(x) (Be sure to simplify your answer) = -4x² + 5x - 2

A:

Q: Please find indefinite integral and show work.

A: The objective of this question is to find the indefinite integral of the function 5 3/7y with…

Q: Estimate the slope of the tangent line at the point indicated using the tables below. Write the…

A:

Q: [" Calculate the following integrals: Suppose f(t)dt = 5.

A:

Q: -2 4 sin r 3 tan r dr

A:

Q: The answer is wrong

A: Jassica and Mathew towards a point P as shown in the figure.If we joint the points A and B then we…

Q: Use partial fractions to find f Select one: O a. S 0b. f = O c. x²+x+3 x + 6x² +9 O e. x²+x+3 x²+6x²…

A:

Q: Evaluate the integral f(x)dr if -2 ƒ(x) = { |x|, 4-x, x≤ 2, x>2

A:

Q: Find the angle between the planes x-z =1 and y+2z = 3.

A: The objective of this question is to find the angle between two planes given by the equations x - z…

Q: Evaluate the function at the specified points. ƒ(x,y) = x + yx³, (−1, −5), (−1, −1), (−3,−1) At (−1,…

A: To evaluate the function at the specified points.

Q: Evaluate the following Integral: Scos (3x+2)dx Select one: O a. 3 8 O b. O c. 00|w 3 300 8 X+ O d. 3…

A:

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. CONVERT THE…

A: Gien equation of circle is.

Q: Evaluate the integral. 30 sin(40) do

A: I=∫e3θsin⁡(4θ)dθ→(1)∫sin⁡(4θ)dθ=−cos⁡(4θ)4+Cddxe(3θ)=3e3θ+C

Q: Find the derivative using the chain rule. f (m) = (cos(m))

A: Given,.We know that the rules are,

Q: If the instantaneous rate of change of f(x) at (4, −6) is 3, write the equation of the line tangent…

A: The  instantaneous rate of change of f(x) at (4, −6) is 3

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Remember the constant of…

A:

Q: Minimize x² + xy + y² – 2x − 5y, subject to the constraint 1 x+y=0. 1. List the point(s) where this…

A:

Q: Use a table of integrals to find the integral. 81-x4 X Select one: O a. O b. O C. O d. O e. dx 81-x4…

A:

Q: Using the currency cross rate table, convert US$649.00 to Canadian dollars. Canadian U.S. Euro…

A: From currency cross rate table we have 1 US dollar = 1.3907 Canadian dollarsDetermine US $649.00 to…

Q: The table below gives the population of a town (in thousands) from 2000 to 2008. What was the…

A:

Q: Graph the function f(x) = 02 O None of the above. O Does not exist 01 0-1 00 Ix-51 and then find lim…

A: