Express the given quantity in terms of sin x or cos x. sin (2-x) O A. sinx O B. cos x - sin x O C. cos x D. - sin x

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 3 miles South 1 miles…

A:

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,100…

A: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,100…

Q: 1. Find the derivative with respect to x of the following functions. (a) f(x) = 5x² +3 (b) f(x)=1/x…

A: We have to solve given Questions.

Q: Make a sign diagram for the derivative of the rational function. 6 (x-4)² f(x) = relative max…

A:

Q: A graphing calculator is recommended. Let y 6x sin(x). (a) Find an equation of the tangent line to…

A:

Q: Find all solutions to 2 sin(0) Ꮎ ; = √3 on the interval 0 ≤ 0 < 2π Give your answers as exact…

A:

Q: O Macmillan Learning Suppose the following expressions resulted from evaluating limits. Select all…

A:

Q: Evaluate the integrals below-by interpreting them in terms of areas. (a) √²₁ |x|dx = So (b) 4x - 6…

A:

Q: QUESTION 35 Which of the following is the linearization of f(x) = x4 + 3x², if a = -1? L(x) = -10x +…

A:

Q: Solve the initial value problem. dx y(x) = = (7x² + 9) (4x − 3), y(2) = 7

A:

Q: Find the slope m of the line passing through the given pair of points. (27, 26) and (20, -16) m =

A:

Q: Scaling laws apply not just to organisms but also to entire ecosystems. (Figure 1) shows the number…

A: Scaling laws describe the functional relationship between two physical quantities that scale with…

Q: 2. Let f be defined by { x 0. f(x):= I 0 Using the definition of the derivative, verify if f has a…

A: We need to find derivative.

Q: 04 * Let f(x, y) = x² + y² − 3xy. Which of the following statements is true? O (0,0) is a local…

A: According to question,Given function,fx, y = x2 + y2 -3xy,

Q: y f(x) = 10x log 3 1 X

A:

Q: A: 15 ÷ 3 × [(7 − 9)³ − (−3)] (-5)² - [1-31³-2 +2³]

A:

Q: 1. Find the Derivative of the algebraic function. a. f(x)= √x x3+1

A: as per the company rules we are supposed to answer only the first question and rest other can be…

Q: the true course and the ground speed of the plane. (Round your answers to one decimal place.) N °E…

A: We will find the required.

Q: Simplify the expression f(x) = g(x) = 22 8x + 12 + 10 x²7x and give your answer in the form of f(x)…

A:

Q: pril borrows $18000 at an interest rate of 7% to purchase a new automobile. At what rate (in dollars…

A: Given query is to to find the amount paid per year.

Q: 07 * Solve the following systems by elimination and back substitution: 3 200 X 29. 4500 0065 0076…

A:

Q: 1) Identify the x-values at which f(x) is a) not continuous b) not differentiable c) continuous but…

A:

Q: Consider the function f(x) = 4 - 5x², -3 ≤ x ≤ 1. The absolute maximum value is 4 and this occurs at…

A:

Q: Consider the following function. = √√x8 + 1 (a) Make a sign diagram for the first derivative. f(x) =…

A:

Q: Se e 0 -3x² dx

A: We need to solve integral.

Q: Let a = 1+2 and b = 21 +1 - K. Find the following quantities. a) २३ - 36 b)|ä1 e) a. b d) a x b

A:

Q: 03* 1 Which of the following expressions is not a valid antiderivative of for x > 0? x In(x+1)…

A:

Q: 04 * (ii) (√3+j) ³. O-16√3+16j O-16√3-16j O 16√3-16j O 16√3+16j

A: Given query is to find the value of the expression.

Q: (a) Estimate the area under the graph of 6 == f(x) = x Estimate= from x = 1 to x = 7 using 6…

A:

Q: Q4: Write an equation for the plane containing points P (1, 1,-2), Q (0, 2, 1), R (-1,-1,0) in both…

A: we need to find the standard and general forms of the equation of a plane

Q: An open rectangular box with a square bottom must have a surface area of A square inches. Write a…

A:

Q: The great pyramid has base length 6 = 233 meters and height h = 147 meters. Assume one side of this…

A:

Q: 07 Find the binomial expansion of (z-2)^3 *

A: Given,           The expression is z-23.To find : Find the binomial expansion of the given…

Q: 21) GWEN f(u₂v₂t₂) = ev sin ut FIND fu fv ft ?

A:

Q: = The triangle inequality assures us that ||ỷ + w|| ≤ |||| + ||w||. Let v = (2, -3) and find a…

A:

Q: Find y'. cot (1) y = 4 cot O A. O B. -8 csc (*) 4 9 CSC 9

A: Given:; Now,           y'=4cotx9'     =4cotx9'     =-csc2x9x9'      =4-csc2x919     =-49csc2x9

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P 2…

A:

Q: Make a sign diagram for the derivative of the rational function. 8x 40 2x + 10 f(x) ---Select---…

A: Given function:- fx=8x-402x+10

Q: All v's, w's, i's, and j's are vectors) Let v =⟨2,4⟩ and w =⟨3,−5⟩ (a) Find a vector of unit length…

A:

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to the parabola at (1,…

A: given   y=4x2tangent line to parabola at (1,4)

Q: Find the distance between -7 and 9 on the real number line.

A: We have to find the distance between -7 and 9 on the real number line

Q: Evaluate f(x + 3) when f(x) = 3x² + 4x − 4

A:

Q: Find the are of the region:  y=9cos(pi*x) , y=8x^2-2

A:

Q: Question 6. The general solution of a differential equation is y(t) = (A cos(5t) + B sin(5t))et…

A:

Q: 4.) f(x)=2x²-3x+1, [1,2]

A:

Q: Obtain the general solution of the following differential equations. 2. (D2-4D + 3)y = 20 cosx

A: Given; The characteristic equation is m2-4m+3=0. So,                  m2-4m+3=0⇒m=--4±-42-4· 1· 32·…

Q: 06* What kind of sequence is this? 5, 8, 13, 21, ... arithmetic geometric both neither

A:

Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 5x³ +5; a) [1,3],…

A: Given f(x)=5x3+5   We are required to find the average rate of change of function over the interval…

Q: What is the rate of change of the function whose graph is a line passing through (3, -10) and (-1,…

A:

Q: Problem #2: Find the general solution to the differential equation * (A) y = e (D) y = y 1+ arctan r…

A: To find the solution of given differential equation.