A. Differentiate the following functions using product rule and quotient rule. 1. f (æ) = (3x – 9) (x – 6) 2. f (x) = (÷æ³ – 2a² + – 6) (2æ² – 2æ + 4) 3. f (x) = %3D - -- -9x+4 5x2 –8 323 -922 –6x+1 4. f (x) %3D

Q: 1 1 4. x2 + yi = 9| %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

A:

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: x +1 limx→∞ х3 — 1

A:

Q: 7. Se* (1 + 2e*)* dx

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: by L'Hopital's rule 3 sin 0 lim

A:

Q: 1-cos(x) lim x→0

A:

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given : y"+y=csc(x)

Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t...

A:

Q: Write an equation in vertex form a(x-h)^2+k for the quadratic graphed below -5 4 3 -2 2 3. 4 -4 of y...

A: Find your answer below 

Q: The gross domestic product (GDP; in trillions of dollars) for Country A and Country B can be approxi...

A: The gross domestic product (GDP in trillions of dollars) for Country A and Country B can be approxim...

Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

A:

Q: (4,-) Find the orthogonal coordinates of point P in a plane whose polar coordinates are

A:

Q: by L'Hopital's rule 1-cos(x) lim x2

A:

Q: Given z1 = 2 - i sqrt 5 and z2 = 2 + i sqrt 5 find z1/z2

A:

Q: A piece of equipment depreciates according to the function A = Age-044, where t represents the numbe...

A: Given function is A = A০ × e^(-0.44t) From given data Ao = 650000$ A=650000*20/100

Q: find the moment of inertia with respect to x-axis of the region bounded by y^2=4x and x-1=0

A:

Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: 2. Consider a homogeneous differential equation, p(т, у) dx + q(z, у) dy %3D 0, where the coefficien...

A:

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

A:

Q: A cell of some bacteria divides into two cells every 50 minutes. The initial population is 5 bacteri...

A:

Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx 

Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: 2. S(2 – 3e*) dx

A: According to given , only 2 solved .Given :∫2-3exdx

Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule; ∫xndx=...

Q: Solve the given system of differential equations by systematic elimination. dx 2х - у dt dy = X dt (...

A:

Q: 1. Find the local maximum and minimum values and saddle point(s) of the function. If you have three-...

A: Given

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

A:

Q: Find the laplace transform of the following function f(t)= 2-3u(t-2)+u(t-3)

A:

Q: sinh x + cosh x)ª= e4x

A:

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

A:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

A:

Q: • 86. Sphereflake The sphereflake shown below is a computer-generated fractal that was created by Er...

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A: Given that,

Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n&gt;= ...

Q: sin? 0 = 4 1 Add file sin 20 – cos 0 = 0 1 Add file

A: Solve for thetha.  Using cos(π-x) =-cosx

Q: dy 9. Find for y=xVx+ 1

A:

Q: Write an equation for the function graphed below -7 -6

A:

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

A:

Q: S (1 – cot² x) dx b)

A:

Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

A:

Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

A:

Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

A:

Q: 11. In x)3 dx 4x

A:

Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 5x2 – ly?. The xy-trace i...

A:

Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

A: