You are given the graph of a function f. Determine the intervals where f is increasing, constant, or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing constant decreasing 2 7 y 10 8 6 4 1 2 X i

Q: Determine the interval(s) in [-7, 7] on which f(x) = 2sinx-x is decreasing. 1. -57) 2. [-7/16, 3. 2T…

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Q: Obtain the particular solution satisfying the initial conditions indicated. 3. (y² + xy) dx - x² dy…

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Q: Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

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Q: Let (5,2,2). P-(1.-2,0). A=(4,3,0) be points in R³. Find the general equation of the plane P in R³…

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Q: Find the volume of the region bounded above by the surface z = 2 - y² and below by the rectangle R:…

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Q: Which of the following is the implicit solution to the initial value problem (e* sin y - 2y sin x −…

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Q: fx cos(3x) dx

A: M=∫xcos(3x)dx∫cosxdx=sinx+c∫sinxdx=-cosx+c∫(a.b)dx=a∫bdx-∫(dadx.∫bdx)dx

Q: a tank contains 1000L of brine with 15kg of dissolved salt. pure water enters the tank at a rate of…

A: The answer is in step 2.

Q: Question 17 () Let / be defined as follows: {² z Using the definition of the derivative, compute…

A: Let f be defined as follows:  fx=x2 if x<0x if x≥0 By using the definition of derivative, to…

Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 - Find the differential dy when…

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Q: f(x) = (2x − 1) (x³ — 2) ²

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Q: For y = f(x) = 8x³, x = 3, and Ax=0.04 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

A: We have, y=fx=8x3, x=3, and △x=0.04 To evaluate : (a) △y for given x and △x value (b) Expression for…

Q: An open-top rectangular box is being constructed to hold a volume of 250 in³. The base of the box is…

A: These problems are based on maximizing or minimizing a variable having as its initial condition…

Q: Find the centroid of the triangular region cut from the third quadrant by the line x + y = -3.

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Q: 3 Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: The equation of curve is:y=ax3+bx2+cx   Local maximum and local minimum of the curve y=f(x) are the…

Q: Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz² O A.…

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Q: Q17 Given P(q) = -2q² + 30q-25 (a) Find the profit from selling the 2nd unit. (b) Use marginal…

A: Given:- Pq=-2q2+30q-25

Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: You are planning to make an open rectangular box from a 38-in.-by-75-in. piece of cardboard by…

A: This question is based on application of derivative. First take a square of length x then make a box…

Q: Find the mass of the solid bounded by the planes x+z=1, x-z = -1, y = 0, and the surface y=√z. The…

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Q: B. Consider the following equation (x-3)² 5(x + 1)²(x-2) f(x)=₁ 1. The rational function above has a…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use…

A: We have given  radius of the circular disk = 21cm and maximal error in measurement = 0.2cm  We need…

Q: Q. 3 Given z = x²y, x = 2t+s, and y = 1 - st². dz We have to find dt s=1, t=2. We first find dz dt

A: Given data÷ z=x2y ,x=2t+s, y=1-st2 dzdt at s=1,t=2 Here, z=fx,y and x=fs,tand y=fs,t

Q: Find the centroid (x, y) of the region bounded by the two curves y = sin x, y = 4 cos x, x = 0, and…

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Q: Assume that x=​x(t) and y​=y(t). Find dx/dt, using the following information. x^2+y^2=0.73: dy/dx=-2…

A: x2+y2=0.73given dydt=-2x=-0.3y=0.8d dx(xn)=nxn-1

Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 Find the differential dy when x…

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Q: Q1 :  a) For the function f(x )=x^3 −12x, its local maximum is ____?____ which occurs at (___? __ ;…

A: The given function is: fx=x3-12x   As we know that, The Power Rule: ddxxn=nxn-1

Q: Find f.  F"(x) = t2 - 4

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Q: (X5)O+=(x) f (

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: A plate in the shape of an isosceles triangle with base 1 m and height 8 m is submerged vertically…

A: A plate in the shape of an isosceles triangle with base 1 m and height 8 m is submerged vertically…

Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

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Q: A sum of $20,000 is deposited in a bank. Find the amount on deposit after 3 years if the bank pays…

A: Money deposited (P) = $20000 Time (t) = 3 years Rate of interest = 8%=0.08

Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: Complete the parametric equations of the line through the points (1,8,3) and (4,-6, (t) = 1 + 3t…

A: The parametric equation for the line through (x, y, z) and (a, b, c) is: (x, y, z)+t((a, b, c)-(x,…

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Evaluate the limit sin 2x 6x lim x→0

A: N=limx→0sin2x6x∂ ∂x(sinx)=cosx∂ ∂x(xn)=nxn-1

Q: 113 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Determine h (x²) for the following function. h(x) = 4x x² - 4x + 5

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Q: The distance that a free falling object falls is directly proportional to the square of the time it…

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Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

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Q: Evaluate the integral by changing the order of integration in an appropriate wa 11 1 SSS 12xze²² dy…

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Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: 7. (cosx+xcost)dt + (sint-t sin x) dx = 0 Ans. t cos x + x sint = c

A: The objective of the question slove the the differential equation.

Q: S Du Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate…

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Q: G. Given the following graph of f(x), answer the following questions: 1. Correct solution to f(x)…

A: Given graph of f(x)

Q: 1. Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1.

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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