b) y = 2x + 5

Q: In Exercises 39-42, write the equation of the hyperbola in standard form. 39. 3x - 4y² = 12

A: hyperbola is given that  3x2 -4y2 = 12 this is the question of the equation of geometry we have to…

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Q: Condense the expression to the logarithmic of a single quantity 1/4{log7t + 3 log7(1-t)} - log7 (7

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Q: On January 22, 1943, the temperature in Spearfish, South Dakota, fell from 53.6°F to -4°F in just 27…

A: as per the rules we are supposed to answer the first question and rest can be reposted.

Q: Find the volume of the solid that lies above the cone p= 12 cos(p). 1 3 and below the sphere

A: Given:- Cone ϕ=π3 Sphere ρ=12cosϕ

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: See this solution in below.

Q: 5. 2. Determine the equation of the following graph: -10 -5 -15- -20 10 0 5 10 15 VEG Wh

A: Observe that the given graph is a parabola that passes through the points 0,-10, 10,0, and -2,0.…

Q: Let f(x) e = e-7x² Find F"(x). f"(x) = Find the x-value(s) where f"(x) = 0. (Enter your answers as a…

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Q: m: b: (______) TAKE A TOUR y =____X +.

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Q: Find the limit. Use 5r3+ r2 _ 2 (b) lim H118 3 – 1.5r2 l'Hospital's Role

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Q: 4. ( sin(x)+1 x 05x+e+(x−1)² a. lim b. lim x-0 c. lim x-1 tan(-x) 2x sec(x + 4) = √2x+2-2 1-√√√x >…

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Q: Use a double integral to find the area of the cardioid r = 6 - 6 cos 0.

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Q: Evaluate the iterated integral. 1/2_ *y/f 3/y [ /o sin y dz dx dy

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Q: Make a sign diagram for the derivative of the rational function. 8 x² + 2x - 3 f(x) = --Select---…

A: The given rational function is  f(x)=8x2+2x-3

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Q: A bank features a savings account that has an annual percentage rate of r 3.3% with interest =…

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Q: Find an equation of a plane through the point C-5, 4₁-32 Which is or thogonal to the line X= 5+-1₁…

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Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the…

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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: If f(x) = f'(x) = f'(4) = = cos x - 7tanz, then

A: To differentiate the given function

Q: Find all critical numbers of the following function: t = f(t) = 3t¹/5 - 2t4/5

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Q: (2x+3) y'=y+ (2x+3) when x = -1, y = 0 . y'-(3 tanx)y = / 11/2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: . Minimizing inventory costs. Bon Temps Surf and Scuba Shop sells 360 surfboards per year. It costs…

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Q: Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at…

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Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

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Q: Consider the following parametric equations. x(1) = √i y(t) = 1²-21 (C2a) Find the equation of the…

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Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: Evaluate the following integral. * 1 π/4 SSS sin sin ™X sin 2y sin z dy dx dz 0 0 0 X 1元/4 SSS sin…

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Q: Let f(x) = Then f'(x) = 4 sin x 2 sin x + 6 cos a π The equation of the tangent line to y = f(x) at…

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Q: 2. Solve the following integral (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: Solve the intregal

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: The given function rx=3x2-30x+76x2-10x+25 We have to find the domain, range, horizontal and vertical…

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A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Suppose that f(5) = 1, f'(5) = 5, g(5) = -8, and g'(5) = 7. Find the following values. (a) (fg)'(5)…

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Q: Which statement regarding these polynomials and their zeros is true? - ○f(x) = (x² − 1) (x + a) has…

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Q: Write the sum using sigma notation: -1/8 + 1/10 - 1/12 + 1/14 - ... = Σ η= = 0

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Q: dx √ ₁ (1-x²7/01/2 0

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Q: 3x

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Q: f(x)=x√√x² +9 defined on the interval -5 ≤ x ≤ 6. f(x) is concave down on the interval x = f(x) is…

A: To find the extrema

Q: Evaluate the integral. (Use C for the constant of integration.) | √₁³²-2² 49 - x² X dx

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Topic - Application of derivatives We are given Cardboard of dimensions 19 in. by 11in.andwe know…

Q: " x² cos(3x) dx find u, v and then find the answer.

A: Given query is to  find the integral.

Q: Q4: please answer questions on the bottom  Part B: Use a graph of the curve to explain why the…

A: Given:  y=sin14πx Point P1,0Point Qx,sin14πx ------------------------------------- Note: Only…

Q: Using Limits, find the instantaneous rate of change of the following function: f(x) = 2x^2 - 16x +…

A: Topic - Instantaneous rate of range of function using limits We are given,…

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Evaluate the integral. (Use C for the constant of integration.) | Vx2 +4 x²-81 dx

A: