y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

Q: x³ - 2x + 3 lim x++∞ 64x² – 3x³

A:

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

A:

Q: If f(x) = 1 4x - 1 384 (4x-1) 24 (4x - 1)¹ 24 (4x - 1)4 384 (4x - 1)¹ -, then what is f"" (x)?

A:

Q: 2. Evaluate J dx (cos³x sin³x)

A:

Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

A:

Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: et dx √ (e² = d − 1)(e* + 2)

A:

Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

Q: Find each indicated quantity if it exists. Let f(x) = = |x-181 X-18 . Complete parts (A) through…

A: On solving this we will get

Q: Question then the range of f is the interval [0, 12]. Select one: O True : If f(x, y) = 3√/16 - x² -…

A: This question can be solved using the concept of domain and range of multivariable function.

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

A:

Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A:

Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

A:

Q: If u = (0, 2, 3) and v = (1, 3, -1), find the projection of u onto v. 이름다 a) Obl 이유ㅎ ○ c) (1, 1, -1)…

A: This question can be solved using the concept of vector projection of a vector on other vector.

Q: If p = (7, 2) q = (5, -1), find p - q.       a)  p - q = (2, 1)   b)  p- q = (12,1)   c)  p - q…

A: p = (7, 2) q = (5, -1), find p - q here we have to make substraction of set here we have to…

Q: 18 (x² +9) (x+3) -dx

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 37 1x1 + 6x2 24…

A: As per the instruction, we will be answering the first one. Kindly post again for others. Given:

Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Given A = -1 0 22]₁ compute 3A

A:

Q: (√2-i)-i(1-√√2i)

A: Follow the procedure given below.

Q: Let f(x,y)= lim f(x,y)? (23) (0,0) x+2y² Which of the following is true about

A:

Q: Find and simplify each of the following for f(x) = 6x² - 9x + 9. (A) f(x + h) (B) f(x+h)-f(x) (C)…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The range of the function f(x, y) = This option 10, 1/3] [1/3, +00[ O This option None of these 1…

A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

A:

Q: I dx x√x² - 64

A: we will solve integration by substitution.

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

A:

Q: Match the functions in Column A with their corresponding antiderivatives in Column B. Column A a.…

A:

Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: Evaluate the definite integral by the limit definition. L (x² + 4) dx X 31

A: use the limit formula for integration

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: 3 +∞ √√√n4 - 2 4n³ + 5 n=2

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

Q: For the piecewise defined function None of these 2 what should be the value of c so that we have…

A: In this question we have to find the value of c so that f(x) is left continuous at x=1

Q: Find the limit lim 3-0 Select one: 04/3 None of these Does not exist -8/6 00 8x² + 7x-9 6x²-2 if it…

A:

Q: For f(x) = 3x4 - 6x² + 1 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3 (C)…

A:

Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.

Q: c) I following 1. Determine whether the integral is convergent or not. 10 [." : 6 dx x-6 Vx

A:

Q: Use Example 1 as a model to evaluate the limit n limf(c)Ax; i=1 n180 over the region bounded by the…

A:

Q: Question 2 A₁ 10 Rope A2 A3 10 Barn A₂ A calf is tethered to one corner of a barn with a rope 90…

A:

Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A: This question can be solved using the concept of time and work.

Q: In(t³ r(t) = 4 lu(t²+1); - (4e-2 - 5e"); _ sin³t 5e²t)j -k, + 1 t3 then the limit lim r(t) equals…

A:

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1