Write the equation in equivalent exponential form. log 256 The equivalent exponential form is. (Type an equation. Use integers or fractions for any numbers in the equation.)

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Q: xlnsinx?dx To evaluate using Gen. Power Formula, we let u=Insinx2 tanx2

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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: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: Let f(x)= -6x^4+8x^3+72x^2 a) f has a relative minimum at x= b) f has an inflection point at x= c...

A: Given; Let f(x)= -6x4 +8x4 +72x2   a) f has a relative minimum at x=  

Q: り のx + ex t 1tx - dx x* + 2x t 5

A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

A: The objective of the question is rewrite the function in different form and determine it's derivativ...

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Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

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A: f(x)=xx-3 , a=4

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Find your answer below 

Q: xp (1 +x) *+1 dx= 3. Evaluate.

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Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: 4. f(x) = 5. f(x) = at x = 2 %3D 一八 at x = 0 %3D

A: This is problem of continuity of the function.  Function is called as continuous if the right hand s...

Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(s...

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Q: Solve the inequality, and write the solution set in interval notation If possible. Write numbers as ...

A: Given:- -3≤3-|2i+8| To find:- solution of given inequality

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 9. lim x→o+ x² X

A: Follow the procedure given below

Q: 5/3 2. 2t4 tan 3x

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Q: solve

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Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

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

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

Q: de +5x +6, dt / æ dt = 4t where: x(0) 2

A: It can be solved using laplace transform.

Q: Let f(x) 5 sec(4x) f'(x)

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Q: Let f(x) = -3x° + 8x – 5 Use the limit definition of the derivative to calculate the derivative of f...

A: The given function,  f(x)=-3x3+8x-5

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

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Q: tan'3xsec"X

A: LetI=∫tan33xsec43xdxI=∫tan23x.tan(3x).sec43xdxWe know that,1+tan2x=sec2x,I=∫-1+sec23xtan3xsec3x.sec3...

Q: cos -1

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Q: 13. Iff (u) = sec u , find f'(u) a. sec u tan u С. sec x tan x b. sec u tanu d. sec x tan x 14. Whic...

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Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: 2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. ...

A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

Q: write the slope-intercept forms of the equations of the lines through the given point parallel to t...

A: This is a question related to equation of line and slope passing through particular point.  General ...

Q: The following situation is used in the next five problems Some values for the function f(x, y) are g...

A: Find the limit of the function f(x,y) when (x,y) tends to (0,0).

Q: Solve the differential equation: y?sin(t)=-y'

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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: sin 0 = 1 to determine the limit. Use the relation lim tan 0 lim 0→0 0 cot 7O

A: We know that  limθ→0 sin θθ = 1 Also  limθ→0 sinaθaθ = 1   where a is any real number.

Q: (3x2 + 2y²)dx + (4xy + 6y²)dy = 0

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Q: The curve x' + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René Des...

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Q: The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where O...

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Q: The function f(x, y) = sin(/3x² + 3y²) corresponds to plot [ Select ]

A: Find your answer below 

Q: Find the most general antiderivative of the function f(æ) = 3e* + 6 sec² x. Answer: F(x)

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Q: For the differential equation (D³ + D² + 4D + 4)y = 0 when x = 0, y' = -1, y" = 5 Find y when x = T

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Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of...

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the cone.A...

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: given f (z) = (z + 1)° – 32' what is the value of u (금, )

A: Topic:- complex number