Evaluate the integral: (A) Which trig substitution 36 sec (0) X = X = 6 sec (0) X = 6 sin(0) ○x = 36 sin(0) 0x = 36 tan (0) 0x = 6 tan (0) dx 4x² is correct for this integral? (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. [ ᏧᎾ

Q: The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by…

A:

Q: = = '1' (a) 21 = 6e-i (b) z2 = 21, (c) 23 (d) z4 = 21 + Z2, (e) 25 = 21 - 22. 2122, 2п 3

A: We have given some complex number problems in Euler's Form. We have find the real and imaginary…

Q: Find the equation of the plane that is perpendicular to the curve  C(t) = at t = π

A:

Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: Given expression:- x2-16

Q: Find the following using the table below. 1 2 3 4 3 X f(x) 4 12 f'(x) 4 1 2 3 g(x) 4 132 g'(x) 4 1 2…

A: We have to find  h'(3) if h(x)= f(x).g(x)  h'(3) if h(x)=f(x)/g(x)  h'(3) if h(x)= f(g(x))

Q: Find the arc length of 2 + 3/2 from x = 1to x = 4.

A:

Q: Let f(x, y) g(x) = x², and h(x)=√. Then f(h(1), g()) =? y²

A:

Q: Figure shows a U.S. roulette wheel that has 38 numbered slots 1 through 36, 0, and 00. Of the 38…

A: Given data, No. of cards drawn 1. First spin ......Probability of occurring red n(A)=18 Second…

Q: Find dx x ² + 11xy + y² =2 a

A: Please see the below picture for detailed solution.

Q: Eliminate the Arbitrary Constant in the ff. equations: 2 b. cy² = x² + y

A: Given : cy2=x2+y   To Eliminate :  Arbitrary constant in given equation

Q: 818 6. y = xln(a² + x²) + 2aArctan ² - 2x

A:

Q: What is the integral of csc3xcot2x dx?

A:

Q: 3. Multiply: (-2-7)(-2+71)

A:

Q: Find the directional derivative of f(x, y, z) = z³ — x²y at the point (2, 4, -5) in the direction of…

A:

Q: Find the equation of each hyperbola whose center is at the origin. Find the equation of the…

A:

Q: State the domain of the function f(x) Domain: 2³+52²-162-80 2²16 using interval notation.

A:

Q: If f(x) = sin x, find ƒ'(x) 5 5 sin(x) cos(x) Find f'(2)

A:

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: To find the extreme values of  g(x,y)=x2+y2+x2y...(1) on the circle f(x,y)=x2+y2-12=0...(2)

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

A:

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

A:

Q: 1. Express the given function H(x) as a composition of two functions f and g such that H(x) =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: a. b. C. d. e. dx x(x²+1) S S S sin ²0 cos²0 de 9dv 81-v4 Je cos(20 + 1) de x3 x²–2x+1 S

A: the solution is given below

Q: Compute the first-order partial derivatives of the function. z = (Use symbolic notation and…

A: To find the first order partial derivatives.

Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

A:

Q: Which of the following is not a differential equation A. dr dy B. (2x+y) dg + 5 =0 cởi treo Dyxdx ao…

A: We need to choose correct option.

Q: TT/4 10. 1. [sec ti + tan² tj-t sin tk] dt Initial Value Problems

A:

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: Graph y = sin x and y = [ sin x] together. What are the domain and range of sin x ]?

A: y=[sin x] is the greatest integer function of sin x.The domain of y=[sin x] is ℝ where ℝ=real…

Q: Use a contour map of f(x, y). 4. 2. 0 -2 7 -20 B B C O A -10 70 50 30 LLL 10 0. 10 C -30 -10 2 .30…

A: Given a contour map with value of each component as A=30, B= 20, C=-10 for f(x,y) We have to choose…

Q: Find the required value by setting up the general equation and then evaluating. Find s when t-4.0 if…

A: Given:s is inversely proportional to the square of t.Ands=3 when t=8

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: Let the length of fence be L feetLet the width of fence be W feet

Q: If f(x) f"(0) = (4x + 1)³, compute the second derivative f"(x) at x = 0. Your answer cannot be…

A:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A: Given lines are L1: x=2-t ,  y=3+5t, z=4+3tL2: x=4t, y=1-20t, z=4-12t

Q: PROBLEM: Find the differential equation of the family of hyperbola with center and transverse axis…

A: Solved below

Q: [csc x]=-csc x cot x by using the relationship of CSC X=

A:

Q: I. Consider the following matrices: 2 7 B=-3 2 A = [5, 6] 2 61 -3 2 D=12²8³) -8 If possible,…

A:

Q: For the piecewise linear function, complete the following. if x ≤ 3 if x > 3 f(x) = Draw its graph.…

A:

Q: A tank has the shape of an inverted circular cone with height 10 m and base radius 6 m. It is filled…

A:

Q: Problem 1. Is the following true or false? Justify your choice. 4x (x − 1)(x + 3)' Bx + C x + 3 To…

A:

Q: Given the function: f(x,y) = ex sin y + e cos x. Find fx fxy, fxxy, fxyyx

A:

Q: Find an equation of the line that satisfies the given conditions. Through (−4, −5); slope − 7/2

A: Given, line passing through (−4, −5) and having slope − 7/2

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: The given equation is; 6y2dx - x(2x3+y)dy=0.

Q: -10 -5 6 3 0 Ny 5 X 10

A:

Q: 43-48 Each limit represents the derivative of some function of at some number a. State such an f and…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: The demand function for a certain brand of compact discs is given by where p is the wholesale unit…

A:

Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

A:

Q: Solve the ff. first order DE using Homogenous Equations. b. (x - 2y)dx + (2x + y) = 0

A: We have to find the solution.

Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

A: