Consider the following function and graph. y = 49 - x²

Q: The demand equation for a certain product is 6p² + q² = 1,200, where p is the price per unit in…

A: The demand equation for a certain product is 6p2+q2=1200,where p is the price per unit in dollars…

Q: Let R be the region in the first quadrant bounded by the lines y = hyperbolas xy = 1, xy = 2. (a)…

A: Given that let R be the region in the first quadrant bounded by the lines  and  and the hyperbolas

Q: The function f(x) = x¹ = 7x³ +9x² +27x - 54 can be factored in the form f(x) = (x-r₁)(x - ₂)². Using…

A: From graph zeros are ● The graph crosses the x-axis at .  with multiplicity 1● The graph passes…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: we are given tbw function and intervals, we need to find the absolute maximum abd absolute minimum.

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 24,000+ 64x +…

A: Weekly cost to manufacture x bicycles and y tricycles is

Q: Use the Root Test to determine whether the series converges absolutely or diverges. 1 3 1 6 2 + 1 9…

A: The Root Testlimn→∞|an|n=ρIf ρ<1 then ∑n=1∞an is absolutely convergentIf ρ>1 or…

Q: d the value of c so that the function fis continuous on the entire real line. √(x)=√x+3₁x52 cx+6₁x>2

A: Given that the function:

Q: Which of the following would not be a representation of the differentiable function f, where f'(2) =…

A: Consider a differentiable function f, where f'(2)=4

Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: (j) Evaluate the following line integrals, where C is given (i) fcds where C: x = t³, y = t¹,1 ≤t≤4

A: Consider the line integral

Q: Let D be the square in the x, y-plane with vertices (1,0), (0, 1), (0, -1), and (-1,0). (A)…

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Q: In ( If t(x) = In x 4 cos x 2x²+8x+6 t'(x) = find t'(x). Provide your answer below:

A: t(x)=ln[x5/4+8x+6)]

Q: 2- -2- -3 12 B + 45 6 + 7 + 8 9 10 t

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Q: Sketch the graphs of the functions. f(x) = x³+x²- 2r and g(x) = 0 -4 y 2 2 - 2 Find the area of the…

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Q: Given what is g'en? g(x)=log²(f³(x)+2). f(1)=2 & f'(n=5 a) 3 log2 B) 12.log10 2) 12 logio

A: The given function is

Q: Given f(x) = 5x + 3 and g(x) = x² - 4. Find the composition fog(x)

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Q: 1. [xds, where C is the curve y=x², z = 0 from (0, 0, 0) tom (1, 1,0)

A: 1.∫Cxds,where C is the curve y=x2,z=0 from (0,0,0) to (1,1,0)y=x2 from (0,0) to (1,1)Let…

Q: Evaluate the integral ftan¹ (x)sec (x) dx . O sec³(x) 5 O O tans (T) 5 O O None of these tan³ (x) 5…

A: find which method is use for integration.

Q: model for the surface area of a human body is given by the function S = f(w, h) = 0.1091w0.425,0.725…

A: We have given a function that gives surface area in terms of weight and height. We have to calculate…

Q: Values of f(x) at selected values of x are shown in the table. x 0.75 0.9 0.99 1.01 1.1 1.25 f(x)…

A: A table of values is given about the function .The aim is to find the limit .

Q: X-4 X-4x²-16 a) lim √x-5 x-25 X-25 b) lim 13) Find the limit. Use l'Hospital's Rule where…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find the first four nonzero terms of the Taylor series for the function (1 + 7x) ¹/2 The first four…

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Q: 2η 3. Σ. 1 n=1 nn

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Q: The total profit from selling x units of cookbooks is P(x) = (2x-2)(4x-9). Find the marginal average…

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Q: Find all of the zeros of the function f(x) = (x²+2x − 12) (x³ +x² - 12x). If there is more than one…

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Q: Vrite an equation for the hyperbola shown in the graph. The equation for the hyperbola above is=1.…

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Q: +x-2xy) ds once around the circle x² + y² = 4, z = 0

A: ∮C(2+x−2xy)ds once around the circle x2+y2=4,z=0x2+y2=4Using parametric…

Q: Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

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Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

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Q: =S₁² Vt2 + 17 dt. Find 8 Let F(x) = (a) F(8) = (b) F'(8)= (c) F"(8) -0

A: Let .To find the following:

Q: The graphs off and f' are shown over the domain [-8, 1]. m Graph of f Graph of f' Part A: Calculate…

A: The given graphs f and f' are shown the domain (-8,1)

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t2 + 400t dollars per day…

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Q: Sketch the region enclosed by the curves y = 1- cosx, y = sinx, x=0, x= π/2. Find the area, A, of…

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Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: An open top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

Q: Evaluate the expression. (16) 3 ||

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Q: 7 The rate of change of a population with emigration is given by P'(t) = 300 population in millions,…

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Q: 1. Show that y PRACTICE EXERCISES FOR $9.1, 89.5, X is a solution of the differential equation that…

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Q: Evaluate [[ 4.ry² — 5x + 5y³ dA over the rectangle R = {(x, y) : -1 ≤ x ≤ 2 and − 1 ≤ y ≤1}.

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Q: sin 20 c) lim 000

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Q: If f'(x) = x, what is f(x)? (Remember the constant of integration.) 2 f(x) =

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Q: Question 10 If f is odd and f is differentiable, then f' is odd. O True False

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Q: Find an equation for the hyperbola described. Graph the equation. Center at (-6,-8); focus at…

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Q: Let f(x) = x³, and compute the Riemann sum of f over the interval [6, 7], choosing the…

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

Q: Let u(t) = 4t³i + (t² − 1 )j – 3k and v(t) = e¹i+ 9e¯¹j- et k. Compute the derivative of the…

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Q: 7. Determine critical points for each of the following functions. b. f(x) = x(4- x)³

A: To determine the critical points of the following function.

Q: Find all the values of a such that the given series would converge. 9n (xn) (n + 1) (n +11) n=1 The…

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Q: Find the surface area of the part of the plane z = 2x - y − 3 that lies inside the - cylinder x² +…

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Q: Question Given the price-demand and price-supply equations below, determine the equilibrium price…

A: The objective of the question is to find the equilibrium price and the producers' surplus using the…

Q: Use the Root Test to determine whether the series converges absolutely or diverges. Ma 8 k=1 1 In…

A: The Root Testlimn→∞|an|n=ρIf ρ<1 then ∑n=1∞an is absolutely convergentIf ρ>1 or…

Q: An engineer deposits $900 each month into a retirement account. After 30 years, the balance in the…

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