3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

Q: Given the following functions, evaluate each of the following: f(x) = x² + 7x + 10 g(x) = x + 2 (ƒ +…

A: Put value in function

Q: Which of the following describes the graph of g(x) = -In(x − 4)? *Ty 8 7 6 5 4 2 2 1 -10 6 7 8 -2 -3…

A: We have to choose correct option

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: (tanz+cotr)-(tan'r+cos'r)-(sin'z+cot'r) -dz S x Lnx Ln (Lnx) Ln (Ln (Ln(x))) Ln (Ln (Ln (Ln(x)))) Ln…

A: On solving numerator we get equals to 1 and then solve by substitution

Q: Can you please write out an explination that shows steps?

A:

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

A:

Q: 0 3² 3x - 4x dx 5x

A: Basic identities of integration are used.

Q: 17 Given the triangle answer to 4 decimal places. 43° X find the length of side x using the Law of…

A:

Q: Use calculus to find the open intervals on which the function f(x) = x+8√√/2 − x is increasing or…

A:

Q: Calculus I Consider the following tables

A: We have to solve given Questions.

Q: Find a basis for the null space of A = [³3 -3 1 2 -1 -2 4.

A: The given matrix: A=3121-3-1-2-1.We need to find a basis for the null space of A.

Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

A:

Q: Use partial fraction decomposition technique to evaluate the integral: S; dx. x² (x+1)³

A: ∫x21+x3dx

Q: 3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A:

Q: Express as a sum or difference of logarithms without exponents. log c R 47 yz What is the equivalent…

A:

Q: Katrina has 32 stamp, some are P3.00 and the rest are P5.00 stamps. The stamps are worth P120.00.…

A: Katrina has 32 stamp, some are P3.00 and the rest are P5.00 stamps. The stamps are worth P120.00.…

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: Solve the given initial value problem. y" + 8y' + 25y=0; y(0)=3, y'(0)=-11

A: Our Aim is to solve the given initial value problem:-y"+8y'+25y=0, y(0)=3 , y'(0)=-11

Q: Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through…

A:

Q: EIN E14 π 2 cos4 n sin6 n dn

A: Given problem:-

Q: 12 = (x³ - 25x) at the point (5,0). Find an equation for the tangent line to the graph of y= The…

A:

Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

A:

Q: Q31 Find the value of Q, where Q = M/N. " 6 3 1 M= 7 -2 4:07 1. Add file 1-3 4 1 91 3 7 TO N=1 3 L2…

A:

Q: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: Complete each of the following problems showing ALL your work. Answer the following questions…

A:

Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

A:

Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

A:

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

A:

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We want to find number of leaps in which cheetah catch up the deer.

Q: The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve…

A: Given the graph of function f(x) is

Q: Differentiate. G(x) = (2x² + 7) (9x+√x) G'(x) =

A:

Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

A:

Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

A:

Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

A: answer is in next step . please upload the full question so i can answer whole  question . please…

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

A:

Q: y = x42x³

A:

Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

A:

Q: Express as a sum or difference of logarithms without exponents. 5 4 X log c 4_7 y'z What is the…

A: log(a^n) =n(log(x))  log(a/b) =loga- logb log(ab) =loga +logb

Q: wer each of the following questions: tio of two numbers is 3:5. The larger number is 30. What is the…

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

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: Let G=7f-g, where the graphs of f and g are shown in the figure to the right. Find the following…

A:

Q: how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which…

A:

Q: Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For…

A: According to question,Given integral,∫t7 cost8 dt

Q: Find y' if y= y' = x5-4x²+4 2 X

A: