Find the equation of the normal line to f(x) = 2 log₂ (x) when x = 1.

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a rate of 7 mi^2/hr.…

A:

Q: In each of the following problems, find the Wronskian W (y₁, y2)(x) of the given list of functions…

A: See this solution in the below.

Q: 2) Use guessing to find particular solutions to the following equations. d) y" - 2y' - 3y = 2e 10…

A: By guessing to find the particular solution of the following equation. y''-2y'-3y=2et-10 sin t

Q: Let Find f (A) (B) el 2 (7) -2x sin x + cos x (C) 1 (D) (E) -√2 (F) 0 (G) 2 (H) None of these

A: Given query is find indicated derivative.

Q: y varies jointly as x and z and inversely as w, and y=3/2 when x = 2,z = 3 and w = 4. Please explain…

A: Given,y varies jointly as x and z and inversely as w,  y=xzw

Q: Differentiate the function. R(q) = 7 lnq

A:

Q: 105x2,5 x 2

A:

Q: For an invertible matrix with an LU factorization A = LU, both L and U will be invertible and A-¹ =…

A: NOTE: Refresh your page if you can't see any equations. . here LU factoriztaion is given

Q: Find the maximum rate of change of f(x, y, z) = x + y/z at the point (4, 3, -3) and the direction in…

A:

Q: Free Response. 1. Find the width and height of an older 50-inch television whose screen has an…

A:

Q: 2y+9x² find all -2x-1' coordinate points on the curve where X x = -1 and the line tangent to the…

A: solution is given below.. one point lie on curve at which slope of tangent line is 1.

Q: 2. (Section 16.2) Consider - 2 6-y [ye² da dy -3 y²

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A:

Q: (coth²(x))

A:

Q: Consider the function given by x² f(x) = - 1 |x| − 1 - x² + 4x + 5 8cos(4x) + 2x - 6 if if if x 0

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: As we know the expression for the area of the triangle is: A=12bh Where b is the base of the…

Q: 8 - (₁₂).- ().- (*). - (1). , = = , U4 = -9 5 -6 Given U₁ = , compute the operations listed.…

A: We will find the required dot products for the part a, b and c as following.

Q: 2. Let m and b be rea If fis both continuo

A: Topic:- calculus

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: We need to determine function. As per Bartleby guidelines we can solve 1 question from multiple…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y),…

A:

Q: The displacement of a particle on a vibrating string is given by the function below, where t is…

A: I am attaching image so that you understand each and every step.

Q: An airplane is flying at an elevation of 6000 feet directly above a straight highway. Two motorists…

A: I am attaching image so that you understand each and every step.

Q: ƒ(x, y) = x²y — 2x² + 2xy − 4x. -

A:

Q: Three regions are defined in the figure. C (0,2 y R₂ /y = 2√√x R3 y = 2x R1 B(1, 2) A (1,0) X Find…

A: Here,                we have given a region R1 now if this region is rotated about the line OA we…

Q: 1/3 (a) [¹ 0 X 1+9x² dx

A: Given, ∫013x1+9x2dx

Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x + 7, and h(x) = the following. Show complete…

A: The objective of the question is evaluate the composition of given functions.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 −…

A:

Q: Suppose we have the following utility function: U(x,y)=x0.²5 y75 1) Calculate the marginal rate of…

A: Given function: Utility function: Ux,y=x0.25y0.75

Q: Evaluate each of the following integrals. 43. I dz I¹ + az 1 Ans. - In a z z+a + C.

A:

Q: Find the volume of the solid generated by revolving the region about the line x = 2. The region…

A: volume=16.75 unit cube

Q: -1 Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also…

A:

Q: A vertical plate is submerged in water and has the indicated shape. 6 m pg 9 m Express the…

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A:

Q: Let f(x) = (3x+ln(x)) / x+3  Find f'(x)

A:

Q: Find the first and second derivatives of the following function: h (x) h'(x) h" (x) = = IPI = tan X

A: The given function is: hx=tan-1x2   We know that; The Power law: ddxxn=nxn-1 The Chain rule:…

Q: For the function f(z)=-2sin (-). determine its amplitude and period, and then graph it for two…

A: Given a the trigonometric equation of the sine wave, y=Asin(Bx+C)+D Amplitude is |A| Period is 2π|B|

Q: The function decreases and the slope increases as x increases. decreases as x increases. [Note: The…

A:

Q: To find the partial fraction decomposition of and solve for A and B. 4x² (x - 1)(x² + 3)' A x-1 + B…

A: Here we have to do partial fractions

Q: 9. sec² x + csc² y = 4 2

A: Given; 9) sec2x + csc2y =4. Repost the next question.

Q: Which ordered pair is in the inverse of the relation given by x²y + 5y = 9? (2,1) O (-2,1) O (-1,2)…

A:

Q: or the given graphs, determine the intervals where the graph is increasing, decreasing, and/o…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x)=6x²-4x5+3x³+x+1. Which of the following statements is true for the polynomial function f? O a.…

A:

Q: 17. Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: 0 ven ₁ = 10 9 -8 (:). -8 compute the cross products as listed. -5

A:

Q: Find the (linear) equation of the tangent plane to the surface z=xexy at the point (7,0,7). Your…

A:

Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

A: Given query is to graph the function with indicated characteristics.

Q: verify that the function. solution to the differential and find the y=c₁e-x + C₂ e 2x is a equation:…

A: Topic = Differential equation

Q: Finding the partial derivatives of z by implicit differentiation X² + y² + z² =25 SOLVE THE PROBLEM…

A: Given, x2+y2+z2=25

Q: which of the following is nor a solution equation y" +y = 0 differential equation a. y = 2 COSY b.…

A:

Q: For the function f(x) = 4 cotx determine its stretching factor and phase shift, and then graph it…

A: given f(x) = 4cot(x) We know that, if f(x)=acot(x+¢)