1- cos 400° 1 + cos 400° tan 200°

Q: A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refri...

A: (a) Assume x be the order quantity and r be the number of orders placed during the year. Ordering co...

Q: A real-estate firm owns 100 apartments. At 700 OMR per month, each apartment can be rented. However,...

A: Let x denote the number of 50 OMR increases the firm needs over the base rent of 700 OMR per month. ...

Q: An American football player wants to kicka field goal with the ball being on a right hash mark. Assu...

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Q: Complete the table to determine the balance A for P dollars invested at rate r for t years and compo...

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Q: Sketch the graph using the transformation process. g(x) = log2 (x+1) +1

A: Let fx=log2x.

Q: Find the exact solution, using common logarithms. (Enter your answers as a comma-separated list. If ...

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: Use a calculator to solve the equation 4 tan2 x - 8 tan x + 3 = 0, correct to four decimal places, o...

A: Given: 4tan2x-8tanx+3=0; x∈[0,2π) for solving given equation, we factorize it and find solution

Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x ) ...

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Q: The population of a southern city follows the exponential law. if the population doubled in size ove...

A: Explanation of the solution is given below...

Q: If xy – y = x² – 5, then dx

A: xy2-y3=x2-5 Differentiating both sides with respect to 'x' we get, ddxxy2-y3=ddxx2-5 ⇒ddxxy2-ddxy3=d...

Q: Simplify exponential expression. x30/x10

A: The given expression is x30/x10   exponent rule: xaxb=xa-b

Q: Suppose f(x) = integralx^2x^3  sin(t^2) dt.  Find f'(x)

A: Explanation of the solution is given below....

Q: Use an identity to solve the equation sin 2x = sin x on the interval [0, 2π).

A: Given that   To solve the equation sin 2x = sin x on the interval [0, 2π). The trigonometric identit...

Q: Determine if the series converges or diverges.

A: Series: ∑n=1∞ 2nn!We need to apply ratio test:an=2nn!an+1=2n+1(n+1)!     n→∞lim2n+1(n+1)!.n!2n=n→∞li...

Q: Explain why, if f is continuous over [a, b], there is at least one point cin [a, b] such tha 1 f(c) ...

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Q: The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the po...

A: Given P=29.76 million t=1990=0P=33.87 million 2000-1990=10

Q: power series: using the Ratio Test or the Root Test to determine the radius of convergence, and indi...

A: Given  

Q: 5 y In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what ...

A: In the triangle, θ increases at a constant rate of 3 radians per minute. To determine the rate at wh...

Q: More parametric curves Use a graphing utility to graph the following curves. Be sure to choose an in...

A: The given parametric equation is x=3t1+t3,   y=3t21+t3. Sketch the graph of the above equation as sh...

Q: Solve for x   101+x-101-x=99

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Q: In the formula A(t) = P(1 +-) for compound interest, the letters P, r, n and t stand for principal i...

A: A(t)=P1+rnnt A(t) is the Accumulated amount or the final amount including principal  Given P=3000, r...

Q: find derivative

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Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the func...

A: Given :  The function  y = xx  ,  x>0   To determine :   (a)   Asymptotes of the given function. ...

Q: Find  the value of the polynomial 5x-4x2 + 3 at x = 2 and  x = -1

A: Given, Polynomial  =  5x- 4x2 + 3  Finding the value of polynomial at x = 2  = 5*2 - 4(2)2 + 3 = 10 ...

Q: Find all the complex roots. Leave your answer in polar form with the argument in degrees.

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Q: Solve the equation cos x - 2 sin x cos x = 0 on the interval [0, 2π).

A: cos x - 2 sin x cos x = 0 

Q: what's the an and the the following limit

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Q: Evalute the given integral by chaning to polar coordinates. *dA where D is the region bounded by the...

A: To evaluate the given integral by changing to polar coordinates. ∫∫De-x2-y2dA where D is the region ...

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10 years...

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Q: 5t The graph below can be represented by parametric equations of the form Sz(t) = a cos(t) ly(t) = b...

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Q: find derivative

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Q: Find the general solution for (d2y)/(dx2) + 10(dx)/(dy)+25y = 0

A: Given differential equation is y"+10y'+25y=0 This is second order homogeneous differential equation....

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 81 (1 – x...

A: Given data:   The given expression for the Taylor series is 1/(1-x).   The expression for the Taylor...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. FRM)...

A: The function f(x)=7x. We have to find Taylor's series centered at c for this function.

Q: Consider the following function. f(x) = x+5/x2   (a) Find the critical numbers of f. (Enter your a...

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Q: y? The ellipse 22 1 can be drawn with parametric equations where z(t) is written in the form 82 z(t)...

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Q: A rectangular storage container with an open top is to have a volume of 10 m3. The length of this ba...

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Q: [5] 3. A cup of coffee has a temperature of 90° C when it is poured and allowed to cool in a room wi...

A: To apply Newton law of cooling, T=Ts+To-Tse-kt                                                      ...

Q: Find the powers of the complex number in polar form. Find z3 when z= 4 cis(65°).

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Q: dy Suppose that 2r² – xy + y² = 1. Find dr

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Q: Write the following expression as a sum and/or difference of logarithms. Express powers as factors. ...

A: Explanation of the solution is given below...

Q: Graph f(x) = 3 cos x, g(x) = cos x - 1 in the same rectangular coordinate system for 0 ≤ x ≤ 2π. The...

A: Consider the given equations fx=3cosx and gx=cosx-1 Solve the equation as 3cosx=cosx-12cosx=-1cosx=-...

Q: Find d & . dy x = 4 sin t y = 5 cos t 0 <t < 2#

A: Given,           x=4sint           y=5cost ;    0&lt;t&lt;2π

Q: Solve

A: Answer and explanation is given below

Q: Solve using the quadratic formula: 2x2 - 6x + 1 = 0.

A: The given equation is 2x2 - 6x + 1 = 0   Quadratic formula: For the quadratic equation of the form a...