6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given that dt dx dy = -2, and dt = 3? - dt

Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

A:

Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

Q: can I get a written formula? I cannot understand the solution that you gave to me. please asap  !!!

A:

Q: P1: x? cos- x dx

A: The given problem is solved below in detail.

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: Could you help me with part b) also please?

A:

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A: We need to solve differentiation problem.

Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: Answer

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Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

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Q: Solve x /k – x²dy= (a²y°x + y/k² – x²) dx -

A:

Q: THE

A: Please refer to the image below

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A: We can solve this as follows:

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A: Here we have to integrate the given integral.

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A:

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: O Use the Comparison Test to determine whether the series is convergent or In-1 n=2 divergent. Show…

A: ∑n=2∞1n-1

Q: 2x2 + x + 3 -dx x3 + x In|x| + In (x² + 1) + tan-1(x) + C In|x| – ; in (x² + 1) + tan '(x) + C…

A:

Q: y = c, sin wt + c2 cos wt

A:

Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: Prove that f(x) = (x – 1)2 + (x + 1)² is an even function. A function k(x) is an even function if…

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Q: Solve using Lagrange Mult ipliera, fenal anewere phould have 4 decimal placia. Find the maximum and…

A:

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e5…

A: The given equations are;  2ln(x)=ln(y)+ln(25) exey=e5

Q: 1. Find the volume of the solid of revolution generated by revolving the region bounded by y = x?…

A: Given problem:-  Find the volume of the solid of revolution generated by revolving the region…

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A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: 3z dz (1 – 4z–2z²)²

A:

Q: イナ dx メーよ

A: Given :∫12x+1x-5dx

Q: dx 4–3x²

A: integration

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A:

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: The answer is incorrect I think because I submitted it on the first time it was.  Kindly resolve it…

A:

Q: do you have a solutuon for this?

A: Definite integral property : If f(x) is continuous on a,b and a<c<b ,then              ∫ab…

Q: Hey sorry but I just want to confirm. What's the minimal cost of painting?

A: Given problem:- A container in the shape of a (right) cylindrical can with an open top of volume 8π…

Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

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A: We have to find the velocity function, displacement and distance.

Q: Fill in the missing correct answer to simplify the given complex fraction. 1 4 x2 Complex Fraction:…

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Q: The following series is divergent: n5-2 Σ 5n4 n =1 Select one: O True O False

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Q: Let i denote the square root of-1. For the two complex numbers =3e and w= 6e find 2, w. Grve your…

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Q: (Am ax). dx

A:

Q: Find the arc length of the curve with parametric equations x = e-t cost and y = e-t sint on the…

A: We have to find the arc length.

Q: Find the definite integral o tan(x)dr using strips of width for the trapezium rule correct to three…

A: Trapezoid rule

Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

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Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: Here is the graph of the two parabolas. Green area is the intersection of two graphs.

Q: 35) y = -4 sin x 4+ 2+ 2n -2+ -4-

A:

Q: Show that the particular solution of the differential equation dy 5dy + 6y = 12(x+e") dx dx dy is y…

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

A:

Q: S csc6 3x dx 9° S cot5 x dx dx cos* 6x

A: We know that csc2θ - cot2θ = 1 sec2θ - tan2θ = 1