Find the derivative of the following: g(x) = (3 + 5x) / (x4)

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A: Find the equation of the tangent line to the curve y=5xcosx at point π,-5π the equation of this…

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Q: Which one of the following is the graph of the polar function r = 1 + 2 cos(20) ? 1. 2. 3. де

A: Given data:- The given polar function is, r=1+2cos2θ

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Q: 1 ns a) y = -x4q-omantics is now maxs oris no viiperib zmolizoup on lis 19war ni bobned od reum…

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

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Q: Find F'(x). F'(x) = rx2 - 6x² / = F(x)= Need Help? 5 t + 9 Read It dt Watch It

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Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

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Q: Find y' and y" for x² + 2xy - 3y2 = 41. Simplif

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Q: 3xydx+ (x² + y² )dy = C Answer: y² (4x² + y²)² = C²

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Q: 1. Given f(x) = 1 and g(x) = "+¹, find the following functions and each of their domains. (a)…

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Q: (x+y)dx + (x + y²2) dy. (

A: Given differential:- x+ydx+x+y2dy=0

Q: Find the derivative of f(x) = ex - x3 + ln(x)

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Q: Find the decomposition of a(t) into tangential and normal components at the point indicated. r(t) =…

A: The given data is: rt=3-t, t+4, t2, t=2 Therefore, r→t=3-ti+t+4j+t2k       ......1 Differentiate…

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Q: 2. Form a polynomial f(x) of least degree having real coefficients, i as a simple root, 0 as a root…

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Q: 3. Evaluate the following limits, if they exist. If the limit does not exist, write DNE x²+12x+20 a)…

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

Q: - Consider the function f(x) = 2x² - 16x 5 on the interval [2, 6]. Find the value(s) for c that…

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Q: Life Science 58. Blood pressure. With a dosage of x cubic centimeters (cc) of a certain drug, the…

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Q: Solve the equation on the interval 0 ≤ 0 < 2. 6 cos ²0 = 3 What are the solutions in the interval 0…

A: Given  6cos2θ=3So, cosθ=12

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Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is exact iff My(x,y)=Nx(x,y)   Given…

Q: (xy + x + y + 1) dx + y dy = 0 Where: . . y(1) = 0: Check if it is separable, exact, or linear. Give…

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Q: implicitly differentiate 3xy = 2

A: given  3xy = 2  differentiate with respect to x

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime7ti + sin(6t)j + e-9tk…

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Q: Find the positive values of and y that minimize f = x+y if xy = 16. 1. x 2. y =

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Q: Given the function f(x) = (- 12x - 3)5(5x + 6) ¹0, its zeros are and their multipicities are…

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Q: Gamma function The gamma function is defined by T(p) = ™ 2P a. Use the reduction formula 1. x²e-¹ dx…

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Q: Sketch the graph of the function by making a table of points. (Round your answers to two decimal…

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Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

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Q: Solve the following initial-value problem: y'+ (tan x)y=cos²x; y(0) = − 1 Oy=2(cos.x)(sin.x+1)-3 O…

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