29. y = 6 sec 3z a. 18 sec 3z tan 3z b. 12 sec 3z tan 3z C. 6 sec 3z tan 3r d. sec 3z tan 3z

Q: Find the difference quotient for each of the following functions and reduce to lowest terms A.…

A:

Q: 1 0.101 1 X Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we want to…

Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is: x=-3-t,…

A:

Q: A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rents a truck…

A:

Q: f(x) = O lim f(x) = 3 - Which of the following is FALSE? Olim f(x) = 3 t Olim f(x) = 3 { Of is…

A:

Q: Use an appropriate test to determine whether the series converges. 1 2 3 + 24³ 253 26 By the + +…

A:

Q: cose 00 2r sin 0 dr de

A:

Q: Evaluate 1-(In x) x In x -dx

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given problem:-

Q: A B O A OB D 1 4 1 4 f sec² (4t) (3 tan(4t))³ dt 1 16 (3 tan (4t))+ + C (3 - tan (4t))+ + C E None…

A: This question can be solved using the concept of integration by substitution.

Q: Given that lim f(x) = -7 and lim g(x) = 6, find the following limit. X-3 X-3 lim X-3 2-f(x) x+ g(x)…

A:

Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: We have to find the the value of g'(0).

Q: d dx 0.8 - - 3.4x^2 +6x)

A:

Q: Suppose that F(x) = f(g(x)), where ƒ(2) = 3, g(2) = 5, g' (2) = 4, ƒ' (2) = -2, and ƒ' (5) = 11.…

A:

Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

A:

Q: Một chuyển động có phương trình: R(t) = (cos(4t))i + (sin(4t))j + 4tk. Tìm vector tiếp tuyến đơn vị…

A:

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

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

Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

A:

Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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: uring Runge-Kutta Method of fourth order, salve dy + y + xy² = 0, $ (0) = 1 by taking h= 0.1 لا

A: Runge Kutta Method of fourth order :-dydx= f(x,y)   , yo = xoyn+1=yn+16(k1+2k2+2k3+k4)where k1= h…

Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

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

A:

Q: Find a parametrization r(t,s) for the plane which contains the point P(-9, 7, 1) and the line…

A: Use plane concept

Q: x³ - 2x + 3 lim x++∞ 64x² – 3x³

A:

Q: Evaluate the following integral: sin²(a) da

A:

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

A:

Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Which value is the average rate of change for f(x) = √x + 1 o the interval (0,3)? 13 0 -1 -3 3

A:

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 120z…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

A:

Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

A:

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

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

A:

Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

A:

Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

A:

Q: 5. (x² + y² + 1)dx - 2xydy = 0

A:

Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

A:

Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x − 3 _ y + 1 4 2…

A:

Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation

Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

A:

Q: If f" (x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when a =? -1 and 2 only -1…

A: Given that f''(x)=xx+1x-22