. Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log, (-)° 5

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Q: f(z) = { 3z 4z2 for z <0, 3z2 +3z for z20. According to the definition of the derivative, to compute...

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

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A: We have to the value of x where s(x) minimum aur maximum

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A: topic - functions and derivatives

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Q: tan A - sec A = %3D sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

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Q: Without solving completely, explain why the function x2+ 5x − 3 has a zero on the interval [0, 1]. G...

A: The condition for a given continuous function f(x) = 0 has zero in a given interval [a , b] are foll...

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: a.)  Assume the model: d(t)= at+b From the question: 4a + b = 5.5 --------1 7a + b = 3    --------2 ...

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

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Q: For the polynomial below, -2 is a zero. f(x) =x + 4x + 2x – 4 Express f (x) as a product of linear f...

A: Polynomial equation s

Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

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Q: -x10+3 8 (x) = Vlx|+2x2

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Q: 12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

A: We are asked to find a value and L values.

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A: Given query is to find the marginal profit on production level of 200.

Q: 7. Analysis of the voltage in a hairdryer involves terms of the form sin(nwt – 90°), where n is a po...

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Q: 4. y=4-x² , y=3x and the x-y plane is given by the fol expresions.

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Q: Suppose that the demand for a product depends on the price p according to 60,000 D(p) = p>0 where p ...

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Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: 5 14. We know the runner ran more than 0 meters in those 90 seconds. To find the distance 90 di trav...

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Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40', c = 16m, a...

A: Let's find. 

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: 10) du(3リ+3 4x + 5, 二 dx

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Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C -...

A: topic - differential equations

Q: Elimination of Arbitrary Constant: bxy +bʻx +1=0 ; b is constant

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Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum...

A: Critical point and extreme points

Q: (A) Find the exact cost of producing the 21st machine. Exact cost of 21st machine = (B) Use marginal...

A: Here n= 21 (No. of units) c(n)=c(21)=total cost of producing 21 machines c(n-1)=c(20)=total cost of ...

Q: For f(x) = 2x* - 8x° +4 find the following. (A) f'(x) (B) The slope of the graph of f at x = 1 (C) T...

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Q: (1/cscx)(1/sinx) = %3D sin?x 1 csc?x

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Q: Use the trapezoidal rule withn = 5 to approximate 4 cos(x) -dx

A: To approximate : ∫14cosxxdx using Trapezoidal rule with n=5

Q: Find the derivative of the function. F(t) = etsin(2t) F'(t) =

A: We can find the derivative as below.

Q: QUESTION 1 Find of where f(x,y) = sin ax Oa. y Ob. -x Oc y-X cos d. O e. Non Request Help (RT) QUEST...

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Q: Find the interval of convergence of Σ (-1)"(x- 7)" Vn? +7 (Use symbolic notation and fractions where...

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Q: gie When the altitude is 10 cm and the area is 100 cm², the base of the triangle measures |cm and is...

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Q: Find the critical numbers of the function f(T): 6x 15x + 10z+1 and classify them using a graph. is a...

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Q: lim 4 sin (x+ T) + 3

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Q: Explain the difference between the average rate of change of y as x changes from a to b, and the ins...

A: According to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Find the equations of the tangent line and the normal line of the function at the given value of x. ...

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Q: The function y, = e¬3t is a solution to y" – 3y' – 18y = 0. This second-order ODE can be reduced to ...

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Q: d'y dy 4+y =r²-21 +3 dt? dt

A: We will calculate CF and PI separately then we will add them.

Q: A firm manufactures a product that sells for $20per unit we have a cost per unit is $12 and fixed co...

A: topic - functions

Q: Evaluate the following limits. lim 3 A. 1. 2. lim 3" 3. lim 4* 4. lim 5 x+00

A: Let's find. 

Q: Find the inverse of the given function. log,(r) f'(x) =

A: Given log3x=yWe know that logba=n and this can be written as a=bn

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: Find the derivative of the function. {z) = e?/(z - 5) f'(z) = Need Help? Read It

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Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: In estimating | cos(4x)dx using Trapezoidal 1 and Simpson's rule with n = 6, we can estimate the err...

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