Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical. d² y b) Find dx² in terms of t.

Q: (4/x3 + 1) dx

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Q: Calculus One Problem. Please help. Thank you

A: Detailed solution of the problem is attached below,Thank you.Explanation:Detailed explanation:    :

Q: Q2/Solve only three of the following differential equation: = xy 1- y' = 2

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Q: Solution to question 2 (a),(b),(c) please

A: (a)f(x)=arcsin(log2​(2x+1)+x)f′(x)=1−(log2​(2x+1)+x)2​3​⋅(2x+1)ln(2)+11​ (b)…

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A: The objective of the question is to find the volume of the solid of revolution formed by revolving…

Q: - - Let ã = 9i – 4j – 2k and b = −6i – 1j + 3k. Find a b • -

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Q: Solve for t, 0 < t < 2π 27 sin(t) cos(t) = -12 cos(t) t = Give your answers accurate to at least two…

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Q: Given the points P(-2, 6, -2), Q(5, 7, 2) and R(3, 4, −1). Find the angle, 0, in degrees, that is…

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Q: -312-6x+5=-10

A: The given equation

Q: A race car is traveling at a speed v in km/h. When the brakes are applied the distance d (in metres)…

A: d= 0.4v2+3vWhere d is in metersWe have to find instantaneous rate of change of stopping distance…

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find f'(x). f(x)= 2x 29+ In x

A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: Suppose that and 4 -7 A = = 2-5 (a) Evaluate 3A-2B. 8 6 B = ( 1 -31 ) (b) Evaluate (BA)T.

A: (a)     3A−2B=[−44​−33−9​] (b)          (BA)T=[44−86​−28​]Explanation:Giventhat,…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval…

A: Given that the a particle with position  as t varies,

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: ns; (fog)(x) = F(x) or (go f)(x) = F(x) Refer to the graphs of the functions f, g, and h to compute…

A: a.f[g(3)]=1b.g[f(3)]=−3c.f[h(3)]=−1d.(h∘g)(2)=2e.h{f[g(3)]}=2f.(g∘f∘h∘f)(2)=−3Explanation:Given the…

Q: Find SS 2 2 dA over the region R = √(x0) /^< x < 4, 0 <y ≤5 } by identifying it as the volume of the…

A: The volume of the solid over the Region R with a constant height of 2 is 40 cubic…

Q: Determine the price p (in dollars) that maximizes total revenue. p = $

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Q: If sin x = 4 , x in quadrant I, then find (without finding x) sin(2x) = cos(2x) = 5 Enter a…

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Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

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Q: Given the series: 1 1 k k+3 k=6 does this series converge or diverge? diverges converges ×

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Q: Suppose that you are estimating √8 using the fourth Taylor polynomial for √x at x=7. Use Taylor's…

A: The objective of this question is to estimate the square root of 8 using the fourth Taylor…

Q: Evaluate the integral 0 [(6te³¹²) i + (3e¯71) j + (1) k] dt.

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Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows

Q: (a) | (x+ h)² = x²| 0 V V (b) | (x+ h)² = x²| < 3h, where h<0 5 97 80 50 זיייייייייייין +

A: a. x∈(−2h,h) b. x∈(h,−2h), where h is negative.Explanation:Approach to solving the question:Detailed…

Q: Page

A: The mean value of the probability density function 0  ≤ x ≤ 60 is simply the centroid's…

Q: Consider the function f(x) = 2x³ − 12x² − 72x + 9 on the interval [−5, 7]. Find the average or mean…

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Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

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Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: Solve the following initial value problem for r as a function of t. d²r Differential equation:…

A: Given Differential equation is as follows

Q: = 4. Find the linear approximation of the function f(x, y, z) = x² + y²+z2 at (3, 2, 6) and use it…

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Q: Instructions: Sketch the graphs of the following functions. Write neat solutions. Make sure each…

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: +x 2 1 dx X

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

A: Ans: V=π∑i=07​(4e−(0.125/2+i×0.125)2)2×0.125,  calculate the sum to get the approximate…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We need to find out the integration.

Q: Use direct comparison test or limit comparison test 00 n = 1 1 + cosn n 2

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Q: Consider the following function: Step 1 of 4: Determine f'(x) and f "(x). 16x) = -1x-4x-8 f(x)

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Q: Given the graph of f(x) at the left, determine the following: a. f(6) = b. lim f(x) = C. x-2 lim…

A: The answers are as follows: a.  f(6)=4. b.  limx→2​f(x) does not exist. c.  limx→6​f(x)=2. d.…

Q: Identify the inflection points and local maxima and minima of the graphed function. Identify the…

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Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: For which of the points on the graph of the function f(x) shown below is f(x)0? 1. C 2. D 3.…

A: For Point Athe Y axis for point a is positive therefore,f(x) &gt; 0The slope of the tangent line at…

Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

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Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

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Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x 2x+4 3 if − 1 1 (a) To determine whether f is…

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Q: For the linear function y=f(x)=2x-2 a. Find df/dx at x =-9 b. find a formula for x = f to the…

A: The objective of the question is to find the derivative of the function at a specific point, find…

Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0,π]…

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Q: math help

A: see explanationExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. f(x) = (4x2)5

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: For f(x)dx = lim f(x," )Ax,, determine the value of Axi. √²₁₂ max Ax, 0 Ola n 21˚ O O n 4-0 O O >18

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