3. Express the equation in logarithmic form (a) ex+3 = 0.2 (b) e0.7x = y Answer: Answer: 1

Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2…

A:

Q: ASK YOUR TEACHER A rectangular package to be sent by a postal service can have a maximum combined…

A:

Q: 5. Suppose the derivative of a function f is f'(x) = (x - 2)²(x + 1)³(x − 8)¹. a) Find the regions…

A:

Q: If_f(x) = xcotx , then f(л/4) = Ов A. K B. 2 С. 1-л/2 D. 1 + л/2

A: See this solution in below.

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: We have given  The limit as x approaches - 6 of f(x) is equal to 8. limx→-6fx=-8 It means that…

Q: Consider the function f(x)=2x−6/x. Find the exact value of all numbers that satisfy the conclusion…

A:

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) 0.502 the…

A:

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³ + 4x) dx using 4…

A:

Q: Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D = {(x, y): 0 ≤…

A:

Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: The linear approximation at and where B is: = 0 to sin(4x) is A + Bx where A is:

A: NOTE: Refresh your page if you can't see any equations. . the given value of x is x=0 so the…

Q: 4 Consider the function f(x,y) = 3x¹ - x²y + 5y² + 5 and the point P(-1,1). a. Find the unit vectors…

A:

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 210 minutes,…

A: given that at the beginning of an experiment a scientist has 248 grams of radioactive  so initial…

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

A:

Q: 2. Solve by the substitution method. If there is no solution or infinitely many solutions make sure…

A: Given the system of linear equations x - y = -3 2x + 9y = -17 By using substitution method we need…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: Use Δy≈f′(x)Δx to find a decimal approximation of the radical expression.   \sqrt{125}

A: Let's find sqrt(125) by using linear approximation.

Q: Suppose that f(x, y) = 4x² + 4y¹ − xy

A:

Q: 31. One Saturday Omar collected from his newspaper customers twice as many dollar bills as fives and…

A: Note:- These are multiple questions but according to rule we can do maximum 1 question so i am…

Q: Find and simplify: -3 sin-¹ ( ¹(3³) y= dx y = sin-1

A:

Q: 3. Consider the curve defined by xy² - 2x³ = 2 for y ≥ 0. a. Find dy Write an equation for the line…

A: Topic:- application of derivatives

Q: II. Factor Completely. 4) f(x) = 6x4-20x²-16 given that -2 is a root 5) g(x) = 5x³ - 2x + 3 given…

A:

Q: 1. Use the graph of f in the given figure to do the following: (a). Find the value(s) of r in the…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If h (2) = 5 and h'(2) = -4, find d /h(x) dx h(x)) x = 2

A: we use quotient rule here

Q: 3. Find the linearization of f(t) = = this to estimate f(3.05). 3t t² +3 at t = 3 and use

A:

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: Please see the below picture for detailed solution.

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -7, u'(0) = -6,…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1850e0.16. Estimate when the…

A: Topic = Algebra

Q: Find dy dx Y = x - 7 X

A:

Q: 8. The function f(x, y) = x² + 4y² - 8x + 16y - 2 has one critical point. Determine its location and…

A: We have to find critical point and its location Topic:- Application of derivative.

Q: Proposition 1.7: The axioms for multiplication imply the following statements. a- If x = 0 and xy =…

A: Axioms of Multiplication:- When two equal number is multiplied by two equal quantities then the…

Q: Let f be defined as follows. y = f(x) = x² - 7x (a) Find the average rate of change of y with…

A:

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 18 feet long,…

A: Perpendicular length= 7 feet  Hypotenuse= 18 feet

Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

A:

Q: -Improper Integrals if we want to integrate a rational function using partial fraction…

A: We have given  To find integration using partial fraction decomposition  Let,  I =∫pxqx dx If degree…

Q: Sketch the region enclosed by the curves y = 2x and y = 4x². List the points of intersection of…

A: To sketch the region enclosed by the curves y=2x and y=4x2.To list the points of intersection of…

Q: From 1930 to 1990, approximately what was the average increase per year in per capita income? A $150…

A:

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

A:

Q: how do we set the partial fraction decomposition?

A:

Q: Consider the following. u = (-1, 7, -4), v = (-6, -5,9) (a) Find the projection of u onto v. (b)…

A:

Q: sec(x) sin(x) cos(x) dx [sec(x)=+C

A: Given query is to find the integral.

Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: Evaluate the limit analytically (that is, without using a graph or table). x² + 11x + 24 x + 3 lim…

A: We solve the given limit by factoring numerator and after that simplifying common factor with…

Q: Differentiate the function P = 7000(1.01)*.

A:

Q: Acceleration after 1 second: -12 (c) Find the acceleration at the instant when the velocity is 0.…

A: We can answer the last question as per the definition of acceleration in the below steps.

Q: For the following exercises, use shells to find the volume generated by rotating the regions between…

A:

Q: Given the function below f(x)=√√-72x³ + 288 Find the equation of the tangent line to the graph of…

A: Given function:- fx=-72x3+2883

Q: Question Determine the absolute error when using the trapezoidal rule to find (2x³+4x) dx using 4…

A:

Q: Evaluate the limit: limo 9x² (= cos 4x-1

A: To evaluate the following limit.limx→0 9x2cos4x-1