6. sin(x) in the antiderivative of COS %3D The coefficient of is Blank 1 (use fraction form not decimal no space)

Q: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true?…

A:

Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how…

A: Here, the given word is ISOLATION which has 2 Is and 2 Os.

Q: ind the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given query is to find the component from of u+v

Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ves. Show…

A: The given graph of functions is as follows:

Q: (a) For f(x) > 0 and differentiable on [a, b], show th = In(f(x)) is given by F(x))² + (f"(x))² L =…

A:

Q: representing all ellipses having its centers at the origin and transverse axis x. a " + (w/)*] + yw…

A:

Q: 14 Approximate (x - 5) dx using 4 rectangles. It is approximatiey. (If necessary, round to two…

A:

Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin…

A:

Q: Rand your an swer to the neullse thousandths. Whad yalve oftwll U:lil!1!

A: To find the value of t when the function value is 1111.

Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

A:

Q: 11 а а? A = |1 b b² c2 %3 (b — а)(с — а)(с - b) |1

A:

Q: dx The integral of the given function f is xVx2-9 a. Arcsin + C 3 b. - Arctan + C 3 c. Arcsec+ C 3.…

A:

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

A:

Q: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: It is given that, there are 36 students in a class. Out of which one is elected for president, one…

Q: Find dy/dx of the function. y=log2 x

A: To find derivative of given function.

Q: Let F(x) = f(x) + g(x)e*+h(x)e2x+ C be the antiderivative of G(x) =(x+ e")* Determine the value of…

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

A:

Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

A:

Q: Find the exact length of the curve. y = = 0 < x < 6

A:

Q: Obtain the der a) cos(xy)=2y, find y'

A:

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 m to obtain a minimum…

A: The volume of the closed cylindrical tank is 11.3 m3

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

A:

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

A:

Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))…

Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0 %3D

A: The objective is to solve the above differential equation.

Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: The integral of the given function f cos?t sin5tdt is cos³t -cost-cos't + C b. – cos³t +?cosst…

A: Given: ∫cos2t sin5t dt

Q: x = 0, y= 1, y = e4 %3D x =-,

A:

Q: Select the correct graph of y = sinx, y = 0.2, and y = - 0.2. Figure 1 Figure 2 651 Figure 3 Figure…

A: Here, the given curves are : y=sin x, y=0.2, y=-0.2

Q: 1 у %3D2 — х, y = Vx, y =7x2 – 1, x = 0

A:

Q: cos (*) 2kT COS 3 Consider the series ak k! k=1 a) What is ak+1? ak+1 aktl? b) What is ak aR-1/a If…

A:

Q: tangular bird sanctuary is being created with one side along a straight riverbank. The remaining…

A: Topic:- application of derivatives

Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

A:

Q: Exercises: SOLUE & submit written due next meeting Sketch the region bounded by the given curves,…

A:

Q: Integrate S 3xe4 dx

A:

Q: If f(x, y) = 7xe5y + + 7y lnx, then is given by: 35e5y + 5/x 49e5y + 7/x 25e5y + 7/x 5లోbw + 7/a

A:

Q: 5. Obtain the particular solution for the given differential equation when SHOW YOUR COMPLETE AND…

A: topic- differential equations

Q: 2.) W = In In (I+e)*

A:

Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: Find the exact length of the curve. 1 y = 1 <x < 3 4x

A:

Q: 4 s cot?x csc'x dx CSC X

A:

Q: In Problems 63–64, explain what is wrong with the statement. 63. So So f(x, y) dy dæ = S, Sº f(x, y)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

Q: A one-to-one function is given. Write an equation for the inverse function. x-8 v(x) = x+9 = (x) ,_^

A:

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

A:

Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

A:

Q: 4. y = 5 cos 4x, 3rd derivative

A: Since we are given with the multiple number of question answered according to the guideline

Q: 5. Which of the following statements is NOT true? A. The exponential function y = a*,a> 0 is…

A: Check the continuity of function.