Question 15 Let u be a nonzero constant and let f(x) = 2+1. Suppose that f is decreasing on (-∞,0). Then x²+u (a) u <0 (b) u > 1 (c) 0

Q: Mark all relative extrema on the following graph by placing a point at the respective location. -2…

A: To solve the following

Q: Find all values of x at which 4 1+ sin 2x f(x) = fails to be continuous. Select all that apply 1. x…

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Q: Consider the function f(x) = 1/x on the interval [1,9]. A) Find the average rate of change of the…

A: According to the mean value theorem, for a function f( x ) in the given interval { a , b } if f( x…

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

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Q: Find the value of f'(4) when f(x) = x³/²+2x¹/2 1. f'(4) = 5 2. f'(4) = 4 3. f'(4) = 6 4. f'(4) 5.…

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Q: Find the gradient vector for the scalar function. (That is, find the conservative vector field for…

A: given, f(x,y)=10x2+8xy+7y2→we know,  ∇f(x,y)=(∂f(x,y)∂x)i+(∂f(x,y)∂y)j

Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

Q: What formula would be used to calculate the left rectangle approximation of cos x sin x dx using…

A: △x=2-05=0.4Endpoints0 , 0.4 , 0.8 , 1.2 , 1.6 , 2

Q: 3. Find dy y¹/3(y2/3 +5)*

A: Here we will do integration with respect to y, by the method of substitution And we will substitute…

Q: Determine whether or not the vector field is conservative. F(x,y)=35x6y6+30x7y5 a. conservative b.…

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Q: Find the area of the region that lies inside the first curve and outside the second curve =32…

A: r2=32cos2θr=4

Q: A surveyor standing some distance from a mountain, measures the angle of elevation from the ground…

A: Given angle of elevation.

Q: What is the area of the integral of f(x) = == = -x +2within the interval [0, 2]? 3 2.5 2- 1.5- 11…

A: Here

Q: 1 x + 5 find the average rate of change of f(x) on the interval [9,9 + h]. Your answer will…

A: fx=1x+5 and the interval is 9,9+hTo find : Find the average rate of change on the given…

Q: Find two positive numbers a and b such that 2a + 3b = 1 and so that a3 + b2 is as small as possible.

A: Find  two positive numbers a and b such that 2a + 3b =1 and so that a3  + b2  is a small as…

Q: A solid is obtained by rotating the region bounded by the curves y=x4, y=x₂ x 20 about the x-axis.

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Q: Let f(x)= 2x on the interval [0,4] Use a Riemann sum with four subintervals of equal length (n=4) to…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9x8 + 4 S (x⁹ + 4x)² 2 dx

A: ∫9x8+4x9+4x2dx

Q: Directly compute the line integral xds over the helical curve C: r(t) = (t, 2 cost, 2 sint) as 0≤t≤.

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Q: Find a vector-valued function whose graph is the plane x+y+z== a. r(u,v)=ui-vj-(3-u-v)k b. r(u,v)=…

A: The equation of plane x+y+z=3

Q: Suppose that f(x, y) = √/2² - x² - y² at which {(x, y) | x² + y² ≤ 2²}. T=2 Then the double integral…

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Q: TUTTIME KETE DE T 15 615 00 AD JIZ IT EIX LIR NON UL what is the slope at points A, B, and C…

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Q: If a supply curve is modeled by the equation p= 200+ 0.2q3/2, find the producer surplus when the…

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Q: Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 146 m high (due to erosion, its current…

A: Given that the great pyramid of Giza in Egypt in 146m high and has a square base of side 230m. It is…

Q: Find the divergence of the vector field. div F - ! = F(x, y, z) = 4x²7 — sin(xz) (i+k) X

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Q: what is the final answer?

A: We need to show steps to find maximum velocity.

Q: Calculate the work W against gravity required to build a box of height 7 m and a square base of side…

A: Given a box of height 7m and a square base of side 3m out of a lightweight material of density 600…

Q: = 0.4x + 27. The price- For a small farm, the cost in dollars to produce a containers of ice cream…

A: To find out the profit function, number of containers that will maximize the profit, the maximum…

Q: Prove: Proof: lim x 0 (x² cos (²7)) = 0. COS

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Q: 1. slope = 5. slope 2. slope -34 2 = AIG 4 3. slope = -1 I 4. slope = = 2 3 4 Find the slope of the…

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Q: Ex.3 Find all absolute extrema if they exist, as well as all values of x where they occur. 9 f(x) =…

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Q: Find (2x + 5y)dA where R is the parallelogram with vertices (0,0), (-3,-5), (1,-2), and (-2,-7). R…

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Q: 11 Find the volume of liquid needed to fill a sphere of radius R to height h =

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Q: For the parametric curve defined by x(t) = 4cos²t, y(t) = 4sin²t. Part A: For the given parametric…

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Q: Find [VE [VE, [√³ zysin(2² + y²) dzdy

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Q: Let f(x) = 40 + 2x - 2x² and g(x) = 2x² - 10x. Compute the area of the region enclosed by the graphs…

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Q: a find b) find the area area curve Of Ghaded & region V=2-gin@ that encloses

A: (a). The given polar equation is:r=θ

Q: 2. (Section 17.6) Find the area of the part of z=12-22-y² between z=3 and 2 = 8.

A: The given surface is:z=12-x2-y2   between z=3  to  z=8

Q: he limit. (If the limit is infinite, ent (√49 lim t →∞ 49t² + 8 - 7t)

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Q: A population of squirrels in a forest is observed to be 120 squirrels at time t = 0. After a month,…

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Q: 14. Give a geometric explanation of why 2π/n 1-2 0 r² do = лr² 2 for any positive real number r and…

A: n2∫02πnr2dθ=πr2 For any positive real number r and any positive integer n. Prove this geometrically.…

Q: Question 2 Find the derivative of the given integral -2x fit sec sec (x) dt 1/x

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Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: Determine the most possible complex zeros of the following function: f(x) = -9x7 - 13x18 - 9x¹7 +2…

A: The function is fx=-9x7-13x18-9x17+2.To find : Determine the most possible complex zeros…

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = h = R₁

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Q: 11.1% W = Calculate the work W against gravity required to build a box of height 7 m and a square…

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Q: 1-4 The graph of the derivative f' of a function f is shown. (a) On what intervals is f increasing?…

A: Note: Concepts: 1. Function f(x) is increasing where f'(x)&gt;0 2. Function f(x) is decreasing…

Q: After substitution is performed, what is equivalent to f₁³e-² dæ? ofie du © ſ_²³-eª du 0³e" du of³-e…

A: let  H=∫13e-xdx