Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

Q: 6. What can you conclude when dy is changing dx from positive to negative? A) fis at a local minimum…

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Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: 8. Which of the following could be differentiated by using implicit rule only? x² + y? = 9 A) B)…

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Q: The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to…

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

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Q: polar com 2) (3, 240°) 90° 120° 60° 150° 30° 0- 180° 2 3. 330° 210° 300° 240° 270°

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Q: he function f(x) = xe" has one critical point. Find and classify it. (x) has v at the critical point…

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Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: Find dyldx /x+ Vx+... dy dy 2у +1 1 1 dx y - 1 dx Option 1 Option 4 dy dx y +1 dx 2у - 1 Option 3 O…

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Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Option (B) Diverges

Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: The decay rate of a radioactive substance, in millirems per year, is given by the function g(t) with…

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Q: A fencing is limited to 50m length. What is the maximum rectangular area that can be fenced in using…

A: Recall:  Area of rectangle=length*breadth

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Q: (メ+ッ)dx + (x4ッ)dy =。 d x dy x yz x?y

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Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: 7. (a) y(4) when y 2ln 30 1 (b) y() when y= %3D In 2t %3D

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Q: 5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Calculate the equation for the plane containing the lines `1 and `2, where `1 is given by the…

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Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: Problems for Accumulation: 1. A businessman borrows P4,200 for 3 years at 5 1/2 % simple interest.…

A: To find out the amount that the business owner must repay.

Q: . Let f(x) = x3+ 6x2 - 15x – 10. a) Find the intervals of increase/decrease of the function. b) Find…

A: In order to find all the asked intervals or points appropriate conditions need to be applied.

Q: find the Langth of the are Ve Siesinzo from to o-52

A: Given:        r=1+sin2θ   Interval is 0,2π  Length of the arc of the curve is given by…

Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: Answer :- We have to write T if the given statement is true with respect to the underlined term ,…

Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3 in |x + 1|+ 3 1n|x – 3| + C in |x + 1| – 3 In|x – 3| + C Option 1…

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Q: 4. Find the maximum value of f (x) = In(x – In x) on the interval -sse. e

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Q: dy Find if dx\x=0 (x – 2)³ - (2x + 1)* 2. +৪ Use logarithmic differentiation.

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Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

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Q: Find the area between (bounded) by the curves y = x2 + 10x and y = 2x + 9.

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Q: Please let me know what answer choice to Choose A,B,C, or

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Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

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Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

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Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…