— 3 6 -4х + 10у 2x – 5y = 3

Q: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

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Q: x³+2x dx x2+1 .3

A: We can solve the integration as below.

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-...

A: Topic:- derivatives

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

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Q: Find by implicit differentiation and evaluate it at the given point. tan (3r + 9y) = r, (0,0). The v...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. f(x.y) =x - 5xy + 6y ...

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Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative. 

Q: メL:6 g6)= の-=* メ L メフ メニム 1)

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Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

Q: Water is being pumped into a swimming pool at the rate of 5 gal per min. Initially, the pool contain...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: In Asahikawa, Japan, the temperature in the morning was recorded at -15 degrees Fahrenheit. At night...

A: Given data Temperature in morning = -150F Temperature drop till night = 100F

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Find the critical points of the following. 1. R(t)=1+80t3+5t4−2t5

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Q: (b) ln x as 0 As x0, In x →

A: Topic = Function  

Q: Verify that the conclusion of Clairaut's Theorem holds for the function: f (x, y) = e*y sin(y)

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Q: п (п Let d e R. For the arithmetic series (n-1) d, verify that sn = n=1 Also, show that an arithmeti...

A: We will check the divergence of the arithmetic series. 

Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: Let u = (6, 3), v = (2, -9). Find 4u - 6 v.

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Q: Sketch the graph of the following functions a) X/x+2 b) 1/(x−3)2

A: We can find the graphs as below

Q: Solve dy and Evaluate the answer at y=30 and C=-26

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Q: Given: y" + y = secxtanx а. Find ye b. Find u’1 & u'2 с. Find u, & u2 d. Find yp е. Find a general s...

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Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: I want answer for C onl

A: Given, z5=1

Q: Find the derivative of the function. y'(x) =

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Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r,s, t)....

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Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) (p A q) → (p V q) =T = - (pA q) ...

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Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Imaginary and Simplify: 1) (4 + 2i) + (-3 – 5i) 2) (-3 + 4i) – (5 + 2i) 3) (-8- 7i) – (5 – 4i) 4) (3...

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Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

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Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: Find dx | cos (P) dt y = dx I3D

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule 

Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

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Q: -2x Hint: sinh(2x) = y" - y = sinh(2x) 2 а. Find ye b. Find u'i & u'2 C. Find u1 & u2 d. Find Yp е. ...

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Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: 9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

A: fx=x3x+2 and gx=2x

Q: 1. Consider the function f (x) = {-x – 6, x 0 %3D Use table of values to find the limit of the foll...

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Q: The path of a total solar eclipse is modeled by f(t) = 0.002311 - 0 506t + 40 266, where f(t) is the...

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: ve f (cot x + tan x) dx then evaluate the an

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Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

Q: 27e + 39e 18e – 10e- Find the horizontal asymptotes of the curve y: Note: Give the exact answer but ...

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