Let f(x) = 10x + (a) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (b) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (c) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X= (d) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x=

Q: 3. s) Determine whether the equation is exact. If it is, then solve it. 1 (2xy + 2)dx + (x² + y3)dy…

A:

Q: Plot the point where 0 = - -π

A: 1) The point where θ = -π is shown below 2) The points where sin θ is located is shown…

Q: pls solve

A: Answer is in the below box. If you have any doubts at anywhere in the explanation or answer please…

Q: Find v(t) given the acceleration and initial condition v(t) = a(t) = 6k v(0) = j.

A: given acceleration vector

Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²* sin(5y)j + z5k. f(x, y, z) =

A: The given gradient function

Q: 1) Use the second derivative test to classify any critical points and determine whether each…

A:

Q: (5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

A:

Q: Let f(x) = 1. f'(x)= 2. f'(3)= tan(x) - 5 sec(x) Find the following:

A:

Q: Find the point of intersection of the lines given below. y = 3t-1, z = 5t-1, y = 4s + 2, Z = -2s +4,…

A:

Q: 4. A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the…

A: we need to find out the work required to pump all the water over the side of the pool.

Q: f(x) = 1-x², ax + b, ((x-1)³ + 2, x ≤ 0 0 1

A: f(x)={1−x2,x≤0ax+b,0<x≤1(x−1)3+2,x>1

Q: Given that y = C₁ + c₂x² is a two-parameter family of solutions of xy" - y' = 0 on the interval…

A:

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 11 seconds…

A: The objective of this question is to determine whether the driver was speeding based on the given…

Q: C. Slx²-√x|dx. d. (sin 4x)6 (cos 4x) dx

A:

Q: Suppose the concentration C(t) of a drug in the blood stream after t hours was modeled by the…

A:

Q: Let f (x) = x3 − 9x.Find all numbers c in the interval (-5, 0) for which the line tangent to the…

A: The objective of this question is to find all the numbers 'c' in the interval (-5, 0) for which the…

Q: Find a vector equation of the line through (3,4,6) that is perpendicular to the lines r₁ (t)=…

A:

Q: Speeds of a Michaelis-Menten enzyme reaction concentration S (in micromolar) are shown in the table…

A: Hence solved.Explanation:a) Usually, we utilize the Lineweaver-Burk double reciprocal plot to…

Q: 5. Solve the differential equations below by using Laplace transformations.

A: Given:a differential equation with initial value-To find:solve the differential equation using…

Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

A:

Q: cos x - 1 f(x) = x

A: f(x)=A function y = f(x) is uniformly continuous at an open interval (a, b) if f(x) is continuous on…

Q: 19. Functions that have an indeterminate form when evaluating a limit can always be simplified by…

A:

Q: let f(x,y)=(5x-y)^7 then ∂^3f/∂x∂y∂x

A: The given function .The aim is to find the mixed partial derivative .

Q: The following series, e² + e¹ + 6 + 8 + e 10, expressed in sigma notation is: ✗1e2k. true false

A:

Q: 5. Find the linear approximation of f (x, y, z) = x³y² + 22 at the point (2, 3,4). Use this to…

A:

Q: →> Given a [2,-10] and 6 = [-8, 23], find: = →> a. 3a-26 b. a.b. C. a+b d. proj a e. The angle…

A:

Q: 3. Graph the piecewise function. Then use the graph to determine the functions range. Label each…

A:

Q: A bank features a savings account that has an annual percentage rate of r = 2.9% with interest…

A: (A) a = $2,000 (the initial deposit)r = 2.9% (annual interest rate)k = 4 (since interest is…

Q: Differentiate the following function: ƒ'(x) = f(x) = ex + x²

A:

Q: Speeds of a Michaelis-Menten enzyme reaction v (in micromolar/minute) as a function of the substrate…

A: Hence solved.Explanation:a) For Straight line transformation = ([s]1​,v1​) b) Given : y= 0.500981 .…

Q: 11. This function: y 4 12 -4 -2 0 -2 -4 O 2 4 x a. is continuous b. has an infinite discontinuity…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: find the arc length of the curve on the given interval.

A: The objective of this question is to find the arc length of the curve defined by the vector function…

Q: Suppose z = x² sin y, x = 1s² + 3t2, y = -2st. A. Use the chain rule to find and as functions of x,…

A:

Q: B 0.439 1.189 0.189 2.189 7. Estimate the area under the curve of and the midpoint for the height.…

A:

Q: a) x1+2log x = 100.x log x

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

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: Question 6 (1 point) D11 The following data was collected for the braking distance of an automobile…

A: The objective of this question is to find the speed of the automobile when the braking distance is…

Q: lim t-0 sin t In (2et-1) (A) -1 (B) 0 (C) 1/1/1 2 (D) 1 =

A:

Q: ints Find the general solution to the equation in implicit form dy 1 dx yey+x =

A: The given differential equation is

Q: Please help evaluate

A:

Q: Please solve this vector calculus problem step by step. Thanks!

A: ANSWER IS GIVEN BELOW.Explanation:

Q: 6. Evaluate the indefinite integral using partial fraction decomposition. Sx² Mo x-13 x² - 6x +5 5)₁…

A: Given Indefinite Integral is as follows

Q: Determine if the sequence is monotonic and also determine if it is bounded. a_n = ((2n+6)!) /…

A: The objective of this question is to determine if the given sequence is monotonic and if it is…

Q: Given selected value of the function f and its derivative in the table below, determine the value 4x…

A: Let assume,

Q: Solve this differential equation: dy dt y(0) = 5 y(t) = = 0.2y (1 — - Y 700

A:

Q: Find the point, P, at which the line intersects the plane. x=8-10t, y=4+9t, z = -4 -3t; 10x +9y+…

A:

Q: 3. Use the Ratio Test to determine whether the series converges or diverges. Show all your work. n=1…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: Find the minimum value of f(x,y) = xy given that x²+y²=5.

A:

Q: '(t) = ( T(t) = ( r(t) = (4 + 31, 2 - 21,9 + 6t). ). ).

A: Given: To Find: To determine .

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She…

A: