Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding dt Calculate dt dx dt dy dt Now use the chain rule to calculate the following: dz dt

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: GrRve the domnin f n(x)= -9-4x|usq iaeoul.ntaton

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Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not...

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Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

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Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: Evaluate the integral from 1 to 7 for the following: w2 ln(w) dw

A: NOTE: Refresh your page if you can't see any equations. . use the integral by parts

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at t...

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Q: Evaluate f5(x?e-2a*+1 + 3)dx

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Q: cos -1

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Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: Evaluate the integral .

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

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Q: not 2022-02-20 5.44.12 PM.png Discard edits Save Find the time required for an object to cool from 3...

A: Use integration formula

Q: Solve the equation on the interval 0s0<2x. cos (30) = 1 What are the solutions to cos (30) = 1 in th...

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Q: ne integrals might seem complicated. But they will simplify significantly if you look at m in the ri...

A: Numerator Cos3 θ+ 2 Cosθ sin θ  - 3 cos θ Cos θ(Cos2θ + 2 Sin θ - 3) Cos θ(1-Sin2θ + 2 Sin θ - 3) Co...

Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: Given the closed region formed by the graphs y = 3x and y = x 2 in the first quadrant. If this regio...

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Q: Find an equation of the tangent line to the curve at the given point. x? + sin (y) xy + 4, (2,0) (Ex...

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Q: y = (9+ 6x)²/¤ dy a) Use logarithmic differentiation to find dx dy %3D dx 5) Find the slope of the t...

A: Given:- y=(9+6x)2/x To find:- dy/dx  Slope of tangent line at x=1  Equation of tangent line at x=1

Q: Prove that for all x > 0 and all positive integers n x2 e* > 1+x + 2! +3 +: 3! x" + n! Recall that n...

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Q: Convert the following base ten number to a numeral in the indicated base

A: Given that: Base ten number is 128.

Q: Let f(x) = x³. (a) Estimate the values of f (0), f f '(2), f '(3), and f '(4) by using a graphing de...

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Q: dy-yln(ye^cosx)dx=ysinxdx

A: Given:       dy-ylnyecosxdx=ysinxdx

Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

Q: differential

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Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: 2x +1

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Q: 3. Find the volume of a sphere with radius r by integration.

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Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4? Expla...

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch...

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: 18. A researcher plans to conduct a survey about drink preference of BSMath students of ABC Uni- ver...

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Q: Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), fi...

A: Note:- according to the company policy we attempt only one question so please upload the next questi...

Q: A graph of a population of yeast cells in a new laboratory culture as a function of time from t = 0 ...

A: Solution is here

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). r -00 -4x2 -3+ 2x f(æ) =...

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Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: z = x2 + y?, y = x²,y = 1, z = 0.

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Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: Find the derivative of the function using the definition of derivative. V F(v) = v + 9 F'(V) =

A: NOTE: Refresh your page if you can't see any equations. . substitute v+h for v

Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the function...

Q: 16 dx

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Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

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Q: (c) When will the rock hit the surface? We note that the rock will hit the surface when its height a...

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Q: Find the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos ...

Q: The velocity V (in centimeters per second) of blood in an artery at a distance z cm from the center ...

A: Given: V= 500(0.04 - x2 ) for 0≤x≤0.2

Q: 5. Find the integral 1 -dx x -5x +6

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Q: Solve the first order differential equation (x2 - 3bxy + 2b2y2) (xdx + ydy) = xdy - ydx

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