Find a and b such that [-1, a, 6] and [b, 8,12] are collinear

Q: Let f(x) = x²15x (a) Find the critical values of f(x). (Enter your answers as a comma-separated…

A: Given:a function To find:critical points, monotone intervals and extreme points of function f(x).

Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: 1) Use the second derivative test to classify any critical points and determine whether each…

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Q: Find the point, P, at which the line intersects the plane. x=8-10t, y=4+9t, z = -4 -3t; 10x +9y+…

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Q: Redo C please

A: .

Q: and write your answer in simplest form.

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Q: Find by implicit differentiation, where 3x5 + 7x¹y - 6xy5 = 2. dy dx

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Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: y=f(x)=75(1-4/5) , x=5 ;delta x =0.25 ; find delta y

A: The objective of the question is to find the change in y (delta y) for a given function y = f(x) =…

Q: What are the critical points of f(x,y) = (e^x)(sin(y)-1)

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

Q: Find the minimum value of f(x,y) = xy given that x²+y²=5.

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Q: What would the derivative of h(x) = f(g(x)) be? ○h!(x) = fl(g(x))g(x) ○h!(x) = ƒ¹(g(x))g'(x) ○h1(x)…

A: The objective of the question is to find the derivative of the function h(x) = f(g(x)). This is a…

Q: The volume of a cylinder of height 9 inches and radius r inches is given by the formula V = 9πr².…

A: The objective of this question is to find the rate of change of the volume of a cylinder with…

Q: y = f(x) N The figure above shows the graph of the twice-differentiable function f and the line…

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price,p at…

A: A company selling widgets has found that the number of items sold, x, depends uponthe price, p at…

Q: Find the point of intersection of the lines given below. y = 3t-1, z = 5t-1, y = 4s + 2, Z = -2s +4,…

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Q: Gamers Empire is considering marketing one of two new video games for the coming holiday season:…

A: a) Constructing a decision tree:                              Decision                             /…

Q: Use the function y = 6x from x = 0 to x = 1 and n equal subintervals with the function evaluated at…

A: The given function  from The area under the curve by using Left hand endpoint over the interval

Q: Often the tricky part of beginning to evaluate an integral is deciding which technique(s) to use. In…

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Q: Consider the functional S[31, 32] = [ dx [7y² + 24y,y2+21y2² +4y² + 12y1y2+9y3] · - Y₁ = azı 322, y2…

A: Functional separability lets you break down a complex functional (think fancy function) into simpler…

Q: . Find an equation of the tangent line to the curve y=4x at the point (1,4)

A: The equation of the curve: y=4xThe point on the curve :(x1,y1)=(1,4)Let the slope of the tangent…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

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Q: Consider the right triangle shown below where a = 10.34, b = 10.86, and c = 15. Note that and are…

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Q: Please use Differential equation or intergral equation to solve thanks

A: Done.Explanation:Done

Q: -1 1) [₁ x tan ‘xd.r Evaluate (a)

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Q: ind the centroid of the region bounded by y = 3x5, y = 3 and x = 0

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Q: □ 3. Find the area under the curve of the following function f(x) = √√x on the interval [2, 6]. O…

A: The objective of this question is to find the area under the curve of the function f(x) =…

Q: Suppose f (x, y) = −3x² + 1xy − 3y², P = (−1, −1), and u = (20, 20). A. Compute the gradient of f.…

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Q: Please aolve

A: The given limit does not exist.Explanation:

Q: The function g is continuous on the interval [a, b] and is differentiable on (a, b).Suppose that…

A: The objective of this question is to find the minimum number of points in the interval (a, b) where…

Q: Determine the value(s) of 'k' so that the tanget to the function y= (x²+k) is parallel to y=x+1 when…

A: To determine the value(s) of 'k' so that the tangent to the function  is parallel to .

Q: Please don't provide handwritten solution...

A: Explanation is given below:Explanation:Given equation: 5y−x2=20 Rewrite it in the standard form of a…

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: Approximate the area under the curve by evaluating the function at the left-hand endpoints of the…

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Q: 1. Consider the sequence (an) where (a) Write out the first five terms of the sequence. an = 1 n²…

A: The objective of this question is to analyze the sequence an = 1/n² for n ≥ 1. We are asked to find…

Q: Given that y = C₁ + c₂x² is a two-parameter family of solutions of xy" - y' = 0 on the interval…

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Q: The incorrect answer is 703.36.

A: The estimated change in area 703.72 mm² (Final answer rounded to 2 decimal places)Explanation:The…

Q: Let ā= −i − 2j + 3k, b = i - 2j + 3k, c = −i +2j - 3k.

A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

Q: Let f(x) = 4x² -5x - 5. The secant line through (2, ƒ(2)) and (2+ h, f(2 + h)) has slope 4h + 11.…

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Q: The function h(x) is given. It has domain (-∞0, 00). -4 -2 y 4 2 2 4 X Find all the x-value(s) of…

A: The graph given:

Q: Use integration by parts to evaluate the integral: sin (9t) est s dt

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Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 5 m, at what…

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Q: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg…

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for the below…

A: The estimated change in area is 515.22 mm2 (rounded to two decimal places).Explanation:We find the…

Q: Let f(t) = (t² + 4t+8) (2t² + 3). Find f'(t). f' (t) = Find f'(5). f'(5)=

A: The given function

Q: 3. Find the principal unit normal vector N(t) at the point (5, 1, 0) for the curve defined by…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=1…

A: The objective of this problem is to find the volume of a solid with a given base and cross-sections.…

Q: Let k be a number that satifies the Mean Value Theorem for f (z) on the interval 1 ≤ z ≤ 6. What is…

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Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

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Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

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