(4) Draw y=2

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: Consider the equation below. f(x) = x7 In x (a) Find the interval on which f is increasing. (Enter…

A: We have to calculate first and second derivative to solve the problem

Q: (b) C x*y dx dy a, О а. 3/8 ОБ. 28/3 O b. Ос. 7/2 O d. 27/2

A:

Q: 4.

A: Given query is to find series converges or diverges.

Q: Divide and simplify. 4nº – 28nº + 16n? 6-28n° - 4n4 4n -28n5+ 16n2 n4 - 7n3 +4 (Simplify your…

A: Divide and simplify

Q: If we are integrating by parts and we have u = x² and dv = cos xdx, what are du and v?

A: given u=x2 and dv=cosxdx

Q: State the type of the quadratic surface: ()' - (5)' + (¿)° = 1 2 1. Ellipsoid 2. Hyperboloid of one…

A: Here we need to find the type of quadratic surface and it's trace obtained by the plane z=1

Q: x = sin(t/2), y = sin(t)

A: answer is in next step

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 4…

A: Use relationship between cartesian coordinates and polar coordinates

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y2,…

A: This question is based on finding equation of tangent plane.

Q: [3 2 A = 26 find the general solution of 4 y' = Aỹ + g, g = =

A:

Q: x + 1 24. 2]

A:

Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve first…

Q: Find the absolute maximum and absolute minimum value of f of the given interval. f (x) = 2 sin x –…

A: Given problem:- Find the absolute maximum and absolute minimum value of f of the given interval.…

Q: Given the triangle below, find the angle 0. 4 Give your answer in degrees rounded to the nearest…

A:

Q: INDICATE If THE folLoWING ARE ALWAYS TRUE, ALWAYS facse, OL MAY 3E TRUE. Ex PLAIN OR CIUE COUNTEe…

A: We have to check given information true or false

Q: b. ydy 1

A:

Q: Find the scalar equation of the line through (3,-2) and perpendicular to the line r = (4,-3) +…

A:

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

A:

Q: Find an equation of the circle whose diameter has endpoints (-1, 3) and (1, - 5).

A: The circle whose diameter has endpoints -1,3 and 1,-5

Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

A:

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. (a) lim…

A:

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

A:

Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the change in cost C for the given marginal. Assume that the number of units x increases by 3…

A: We have to find the change in cost C.

Q: 2t + 3)5 can ONLY be differentiated by using the product rule.  True or False

A: Given query is to find statement is true or flase.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: Given

Q: Q50 X( Inx)

A: = Let , In x = log x = 7 ∫ dx / x logxx let , log x = t          x = et       1/x dx = dt = 7 ∫ dt /…

Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

A:

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: Use the function value to find the indicated trigonometric value in the specified quadrant. Function…

A:

Q: x* – 6x3 Find Lim x-0 x3 – 4x

A:

Q: please sir solve question part (d), in the picture, not that its not a graded question

A:

Q: dx |4 – x² 2.

A:

Q: (f) Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of…

A:

Q: Use the first four nonzero terms of a series to estimate the following integral's value. 0,3 | sin…

A:

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: Ofind integrals to (cotx dx

A: I am attaching image so that you understand each and every step.

Q: 2х + 1 J (x – 2)(x – 3)²ax

A:

Q: After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per…

A:

Q: if x1 -1 For what value(s) of x is the function f(x) = x+1 (x² +x+1 NOT continuous? A. x 1 Select…

A: We have to choose correct option

Q: (a) Use differentiation to find a power series representation for fx) = (3 + x)2" Σ 00 n = 0 What is…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: The grocery store has bulk pecans on sale, which is great since you’re planning on making 10 pecan…

A: We have to find how many pounds of pecans we should buy.

Q: nd the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

A: Given query is to find the amount of annuity.

Q: 2. Suppose that the triangle with vertices (-1,–1), (0, 1) and (1, –1) is revolved about the y –…

A:

Q: The data and graph above show the number of hours of daylight in Richmond VA for specific dates…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: Given, 107+6r +7500= 121000 Simplifying the above equation we have, 107+6r = 113500