Find the vertex, focus, and directrix of the parabola. 7x + 3y2 = 0 vertex (x, y) =

Q: Find JJJB z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E (0,6,0), and…

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Q: Evaluate the limit 3 + 3x² (11+52)

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Q: Find the formula for the nth term of the sequence a. 17, 30, 43, 56, 69, 82, ... 1 3 7 11 15 b.…

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: Find the absolute MAX of f(x)=−2x2−1on [-1, 2]. You are being asked for the maximum value, NOT where…

A: To find the absolute maximum value of the given function

Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is…

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Q: If y=1/3x2​, find dy/dx at x=−1.

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Q: Find the derivative of f(x)=x12

A: I am attaching image so that you understand each and every step.

Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: Need to find out the intercepts, critical points and point of inflection, vertical and horizontal…

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x / (x2 - x…

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: The number of cars produced when a dollars is spent on labor and y dollars is spent on capital…

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Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: Consider the function f(x) = -3e. Determine each of the following. 1. f(1) = 2. f'(x)= 3. f' (1)=…

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Q: 3. INSTRUCTIONS: Differentiate the following func- tions (respect to x) using any method. (a) f(x) =…

A: (a).The given function is:f(x)=x2+2x4-3x2+1

Q: Convert the following triple integral from rectangular to cylindrical coordinates. Do not evaluate…

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Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the…

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Q: ind the intervals on which f is increasing or decreasing. Find the local maximum and minimum values…

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Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

Q: Given f''(x) = ƒ(7) Find f 4 sin(2x) and f'(0) 3 and f(0) = - 3.

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Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

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Q: Suppose in 2009, there were about 8 million Internet users in the Philippines. The number of…

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Q: Find the area of the shaded region. r2 = sin(2?) A coordinate plane is given. There is a closed…

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Q: Find the volume of the solid whose base is the semicircle y = √1 - x² where -1 ≤ x ≤ 1, and the…

A: To find:- Volume of solid whose base is the semicircle y=1-x2 where -1≤x≤1and the cross sections…

Q: Find the general form for f(x) if f''(x)=1-cosx.

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Q: Let be a function defined by f(x,y)= x5 y4-7 exy

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Q: fraction Find the partial decomposition for the retionel expression. 5 x + 8 (X + 8) (8X-1) =

A: Solution ) ( 5x +8 ) / (x + 8 ) ( 8x - 1 ) ( 5x +8 ) / (x + 8 ) ( 8x - 1 ) = A/( x + 8 ) + B/( 8x -…

Q: Differentiate.   y= 4x3-7x2+15x+3

A: Topic:- application of derivatives        Using If  F(x) = ax^n  F'(x) =an x^(n-1)

Q: Why is the cross product of two vectors axb always equal a vector  ?

A: Given query is to find why cross product produce vectors results.

Q: Evaluate the double integral D of (x - 3y2)dxdy D = [0,2] x [1,2]

A: To evaluate the given double integral

Q: Find the slope of the tangent line to the curve - x² − 3xy + y³ = 1 at the point (2, 1). Question…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have to find given decomposition and derivative of y.

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: Part 1: Revenue The revenue function is defined as R(x) = x p(x). 1. Find the revenue function, R(x)…

A: Ans 1. P(X) = - 0.25X + 550 TR = P * X TR = (-0.25X +550) *X TR = -0.25 X2 + 550X-------------1)…

Q: Find dy/dx. y=-2

A: Given y=-2   We need to find dydx

Q: ||

A: Topic:- application of integration

Q: If a cup of coffee has temperature 96°C in a room where the ambient air temperature is 19°C, then,…

A: Find average temperature of first 20 minutes.

Q: (2,8) a -2) ← f'(x) b (6,-5) graph of f' is shown. If f(2)= 17, the

A: Topic:- calculus

Q: B. Graph g(x) = -6 ≤ x < -2 -(x + 2)² +5, -2 ≤ x < 2 2 ≤ x < 6 -5,

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Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 40 bushels of fruit. She…

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Q: 5. f(x) is defined as f(x) = -3x + A I≤1 r²+(x-1)B-3 r>1 A For what values of the constants A and B…

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Q: Find dy/dx. y=3x7

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Q: 4) Given the piecewise function /(x) = 16 if x<2 if x 22 Find the area under the graph f(x) over…

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Q: Write a rational function with the given characterstics. A) There is a zero at 6, a hole at x=-3,…

A: A) There is a zero at 6, a hole at x=-3, no vertical asymptotes, and horizontal asymptote at y=x-6…

Q: Cartesian coordinates of a point are given. (a) (−6, 6) (i) Find polar coordinates  (r, ?)  of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

A: f(x)=(x-5)(2x+3)d dx(xn)=nxn-1product rule is d dx(a.b)=adbdx+bdadx

Q: INSTRUCTIONS: The radius of a circular disk is given 16. at 24 cm with a maximum error in…

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Q: 6) Find the following indefinite integral using the by parts method. N f-10xin (2x) dx = fudv = uv-…

A: Given that ∫-10xln(2x)dx=∫udv=uv-∫vdu We have to solve the integral by by parts formula. The…

Q: Evaluate the double integral D of ysin(xy)dxdy D = [1,2] x [0,pi]

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Q: Evaluate the improper integral or state that it diverges. -2 88 9dx 2 Select the correct choice…

A: Solution : Given improper integral is