The variable point (t²,t+1) lies on a parabola. (i) Sketch the parabola for -2

Q: / Find the Area Suside the Cirdle r. JZ ond oat side The The Cuurne r 2 Gs) O plt The funetione 2 Fi...

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Q: Find (f/ g)(x). What is the domain of f/ g? f(x) =x², g(x)= 7x- 3 7x +3 ; 7 all real numbers x excep...

A: topic - domain of a function

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A: topic -implicit differentiation

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Q: Solve the differential equation. dy = e5x - 5y dx O y = In (e5x + C) O y =In (e5x + C) O y = 5ln (e5...

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: S. The resulting integral of sin cos-sino d0 has the form | 2 2 -F(0) + C. What should be the value ...

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Q: Select from the following which is the polynomial function that has the given zeros. 0, - 7, -3 O f(...

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Q: 69 -24 A) -24 Solve lim B) 4 9+2 2-9 C) 24 D) -

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Q: Consdeu the fanction whose cntevion is ax +b si x 3 The requved values for a and b for the

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Q: Coider g(s) = १3 + (2x +2" Calculate g(x) : 5 3 3 A) + 6(2r - 1)* B) 3(2r-1)" C) 3V 3(2r- 1)*

A: Find your answer below 

Q: 1. Consider the function f(x) = {x + 2, values to find the limit of the following: - x - 6, x > 0 x ...

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Q: 6. Do the following tasks using Mathematica. // sin(9x2 + 4y²)dA , where R is the region in the firs...

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: 1. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: In Problems 43-54, find each indefinite integral. (Check by differentiation.)

A: Given ∫(5ez+4) dz

Q: 24. 3e dx

A: topic - definite integrals

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 5x...

A: function  fx=5x2-6x, find the critical points?

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC. ...

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Q: Solve the initial value problem. ds = 12t(3t² - 1)°, s(1)=7 dt The solution is s =

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Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x = ...

A: Explanation of the answer is as follows

Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: Let fun chan defined by g(2) = V Z+8' –-8, ts devivalie z+h+8- Vz+ 8 is equal to the expressian. A) ...

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Q: Canvidar the followiag differential oquation y'= 9x +10y +29 10x+9y +33 ミ A variable chonge to turn ...

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Q: The volume of a cantaloupe is approximated by V= , AP The radius is growing at the rate of 07 cm/wee...

A: Find your answer below 

Q: Find the critical numbers of the function. f(x) = x5 - 5x Step 1 o or f (x) does not exist. does not...

A: We need to find the critical numbers of the functionfx=x5-5x4

Q: 2x dx 67. 4

A: ∫xn dx = xn+1n+1+C ∫f(x) ± g(x) dx = ∫f(x) dx ±∫g(x) dx ∫a f(x) dx =a∫f(x) dx

Q: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z² ...

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Q: Зx2 +17х+32 S: dx х3 +8х2 + 16х

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Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: 2i-1 |4e

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

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: in Problems 43-54, calculate the definite integral, given that 61 x dx 3 x dx = 7.5 x² dx = 21 %3D

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Q: 16. 3x² + 3y? + 3z² = 10 + 6y + 12z

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Q: *39. A piece of aluminium strip of length e m is used to make a window frame as shown in the figure....

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Q: Question 14 Suppose that f'(x) > 0 for all x E R. Let g(x) = f(2x – x2) for all r E R. Then on [3, 5...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: g'(t)=0⇒t×ddt(14-t)+14-tddt(t)=0⇒t×1214-t×(-1)+14-t=0⇒-t+2(14-t)=0⇒-t+28-2t=0⇒-3t+28=0

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Q: _Show that the following are metric on R": d,(x,y) max, isn Ixi - vil : d,(x,y) E X-Yil.

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Q: If two perfectly rational players play the following zero-sum matrix games, what strategies will the...

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Q: Find the inverse of the one-to-one function. ​

A: The given function is y = 6x

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Q: .3. x* + 2x3+ 11x2+ 8x+16 dx x(x2 + 4)2

A: Integration

Q: 3. Find the Laplace transform of the piecewise function 03

A: To find the laplace transform of the given function.  

Q: 25 36. 2.

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