Find the indicated derivative. 1 - 2x² x4 - 2x² + 6 dy dx || dy dx for y =

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = -4 x…

A: Here vertical asymptotes at x = -2 and x = -4 we have denominator (x+2) and (x+4) as co-factor .…

Q: 3. Express the equation in logarithmic form (a) ex+3 = 0.2 (b) e0.7x = y Answer: Answer: 1

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Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: y² Define Q as the region bounded by the functions u(y) = around the y-axis, what is the volume of…

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Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

Q: Operations on Functions Using Tables of Values Use the graphs for f(x) and g(x) to evaluate the…

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Q: Question Use the trapezoidal rule to calculate the absolute error of ₂(x² + 7) dx using 4…

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Q: If x is divisible by 5 or y is divisible by 5, then xy is divisible by 5.

A: Let x is divisible by 5. Then x=5u for some natural number u.

Q: Consider the function f(x) = x² - 6x +8 x-1 a. Find the first derivative. f'(x): b. List any…

A: see below the answer and calculation As per Bertleby guideline I have to solve only first three…

Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ =…

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Q: Find the exact length of the curve. y2 = 4(x + 5)3, 0≤x≤ 1, y> 0

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Q: Which of the following statements imply that thas a vertical asymptote at ? Make sure to select the…

A: We have given the function g(x) and the vertical asymptote at x=3.

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

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Q: Solve the equation using the quadratic formula x squared - 4x + 13 =

A: Given query is to find the solution of the quadratic equation.

Q: Consider the function Evaluate the definite integral. f(x) = fx if x < 1 {if x ≥ 1 [1 f(x) dx

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Q: dw If w= -9x³ - 5y², x = −7s+t, and y = 2s+8t, find in terms of s and t. Ət

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Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=4…

A: Given query is to find the function.

Q: lim (1+1)* 148

A: Please see the below picture for detailed solution.

Q: A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400…

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Q: 1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by…

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Q: Let consider [^e² dr. a) Apply the composite midpoint rule with m = 4. Compute error by comparing…

A: Given, ∫01exdx

Q: (a) Jessica is playing a role-playing game with her friends. She will roll dice to determine if her…

A: Given a) probability of unlocking the treasure chest is 920. b) The odds against choosing a blue…

Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y² =…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: 1. Given the graph of g(x) below. --6 -5 Evaluate T -3 -2 S 2 -1 -2 2 L²9(x) dx 2 3 g(x) 5

A: ∫-32g(x)dx

Q: Given the following functions, find each: 2 f(x) = x² - 9x + 18 g(x) = x - 3 (f + g)(x) (f - g)(x) =

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Q: Graph the following. 0 0 peacewise function. +£3. 3≤ t < 5 + 25

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We can find the particular solution in the below steps using the appropriate method.

Q: A box, without a lid, must contain a volume of 1000 cubic centimeters. The box must have a square…

A: This is an optimization problem, we use first derivative to find critical values and second…

Q: Consider the function f(x) = (x - 1)1/3 .(a) Compute the slope of the secant lines between (1,0) and…

A: Concept: The slope of the tangent line of the function is  m=f'(x) The slope of the secant lie…

Q: (a) We have 3 X Y

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Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We know Area of square =side2Perimeter of square=4side Let side of square = x mLet Area of square =…

Q: Evaluate the derivatives. Do not simplify. (a) ey - y² = ln x tanz (b) y = (secx)*

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Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Consider the function f(x) = x² x² + 4 You may use the facts that f'(x)= needed. = Answer the…

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Q: Find the derivative with respect to x of 2 sin x² + Cos x x²

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Q: Find a particular solution to Ур || = y" − 2y' + y = -3.5et t² + 1

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Q: Consider the following. 3x³ - 27x² + 5 y = (a) Find the critical values of the function. (Enter your…

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 5x - 4y c = 6, P(0, 0)…

A: Find the normal vector to the level curve f(x, y) = c at P. given f(x, y) = 6-5x-4y and C = 6, P(0,…

Q: The boxplot below shows salaries for Actuaries and CPAs. CPA HC Actuary 30 40 70 80 90 100 110 Q 50…

A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

Q: Unit Find the vector = (-3,₁27, in the direction opposite to V

A: Topic = Vector

Q: Which is a better investment? 08% compounded quarterly. 08.3% compounded annually.

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

Q: can be written in the form. -8 ƒ (x) = -a(x+b)(x+c) (x+d)(x+e) -6 1 -4 (-2,0) 0 (0, 0.4) (1,0)

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Q: Find f'(x)and find the equation of the line tangent to the graph of f at x=1. f(x)=(2+5x)(5-4x)

A: Given f(x)=(2+5x)(5-4x) We need to find f'(x) and equation of tangent to the graph of f at x=1