Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch It

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: Solution ) f'(x) negative where the graph of f(x) is decreasing  Hence the interval where f(x)…

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A: Given, ∫2x+4x2-5x+6dx

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

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Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

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A: Let's find total distance traveled by the ball.

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Q: f(t) = 3 Sgh(st) - ans: F(W) = 2013 1+jt гпе

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Q: Σ +∞ + 1 + sin2 η 10η in=1

A: Given Series,∑n = 1∞1 + sin2 n10n

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

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A: for local maxima f'(x)=0f''(x)>0

Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

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Q: 2x²+5 1. Answer the questions below and then graph the rational function: f(x) = x²+x-2 a. Vertical…

A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

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A: Aim: Dxf(g(2)) We know that,…

Q: Σ + 1 + sin2 η 10η n=1

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Q: Solve the differential equation. df ds 85+9 (45²+95 +2)²

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Q: (b) xy' = 2y + x³ cos x x 500 ₂x = L = ² - ₁ k P(x) = -2/² Q(x) = x² cost dix) = -Sdx e ^4 = = = = =…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: Consider the graph of the function

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: Find the equation of the tangent line 7 to the graph of f at the given point. Use this linear…

A: The solution is given below

Q: TO 1 1 3 2 -a 2 123 b 1 3 1 0 1 0 0 3. C Ld- 3 UAN со 2 4 5

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Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) Σ (sin(3))" n = 1…

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Q: Expand/Write out (but do NOT calculate) the Riemann sum, Rs, for the function f(x) = 1 - |x| on the…

A: The function is given as , fx=1-x on -1,14 Write the Riemann sum R5.

Q: Find the differential dy of the given function. y = In√9-x² dy =

A: Given y=ln9-x2 Formula: ddx(ln u)=u'u where u is a function of x Now consider y=ln9-x2 The given…

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Q: or the graph below, identify a restricted domain for which the function has an -2 YA 8- 2- 0 -2- 2 6…

A: Topic:- calculus    Definition :-  The domain of a function f(x) is the set of all values for which…

Q: Find the maximum and minimum values of the function y = 4 cos(0) + 11 sin(0) on the interval [0, 2x]…

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Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

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Q: It has been determined that the cost of producing x units of a certain item is 10x + 365. The demand…

A: topic - functions

Q: Find the general solution of the differential equation. y(4) + 2y" +y = 3 + cos(4t). NOTE: Use C₁,…

A: We have to find general solution of the differential equation  y4 +2y"+y= 3+cos(4t)   ... @   As we…

Q: Find the directional derivative g(x, y) = √√√x² + y², of the function at P in the direction of v.…

A: solution is given below

Q: Evaluate the following definite integral. 5 dx 2 0 √x + 169

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Q: Find the solution of the given initial value problem. y(4) – 6y"" +9y” – 0; P y(1) = 9+e³, y'(1) =…

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Q: The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -2t y"…

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Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: Vitaly and Sherry have 24 m of fencing to enclose a rectangular garden at the back of their house.…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: Find a power series representation for the function. f(x) = F(x) = 2 ( [ n = 0 X (1 + 3x)² R= ()…

A: Given data ÷ f(x)=x1+3x2 We need to find power series representation of f(x).   Using formula…

Q: The piecewise function /(x) is graphed below. Use geometric formulas to evaluate the following…

A: First we find f(x) , Here in interval -7≤x≤-1 f(x) is semi circle, whose center is at (-4,0) and…

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Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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