2r – 30 y

Q: Use the definition of Taylor series to find the Taylor series, centered at c =0 , for the function f...

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Q: Evaluate or simplify the expression without using a calculator: log 1000

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Q: The volume of a cube is increasing at a rate of 56 in3/sec. At what rate is the length of each edge ...

A: It is given that volume of cube V=x3 rate of volume increasing at dVdt=56 in3/sec The edge of the cu...

Q: Solve triangle ABC if A = 50°, a = 10, and b = 20.

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Q: Draw the graph of a continuous function f(z) where f(-2) = 0, S(2) = 0, but there is no value c€ (-2...

A:                                 Given: f(-2)=0 ;     f(2)=0but there exists at least one c∈-2, 2  su...

Q: Evaluate the integral 12 +1 dt (213 + 61 + 1)

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Q: Write the solution

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Q: Derivatives Find the derivatives of the following functions. ƒ(x) = cosh2 x

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Q: Find the limits given the functions f and g. Write the solution.

A: Given function is fx=4-x2.

Q: office depot sells TI-84 plus calculaters for $100 each. In a typical august (right before school st...

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Q: Let f (x) = Vx and g(x) = - Find the formulas for all four compositions x2 f(f(x)), g(g(x), f(g(x)),...

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Q: How many positive solutions does x 3 - 12x + 8 = 0 have?

A: Given- x3-12x+8=0 To find- The number of postive solutions of the above cubic equation. Concept Used...

Q: Which of the following gives the area of the region between the graphs of y =x? and y = 25 Select on...

A: To find Area of the graphs between the given curves.

Q: Write the partial fraction decomposition of the rational expression: (3x - 5)/(x3 - 1)

A: Given expression, 3x-5x3-1 It can be written as 3x-5x3-1=3x-5x-1x2+x+1

Q: Differentiate f(x) =x tan -1  (sqrt x)

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Q: Use the properties of logarithms to expand the logarithmic expression.              ln z(z − 1)2

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Q: The average cost of producing x units of a product is c = 900e*/900 dollars per unit. What is the ma...

A: The given function is C=900ex/900 Here, the cost function is C(x) The marginal cost is, MC=ddx900ex/...

Q: Use the properties of geometric series to find the sum of the series. For what values of the variabl...

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Q: Solve the equation cos2 x + 2 cos x - 3 = 0 on the interval [0, 2π).

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Q: Find intervals on which the graph of y = x* - 4x? - 18x? + 6 is concave up and intervals on which it...

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Q: Implicit differentation for question d and e

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Q: Please help me. Huhu

A: Ux =0x<01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when t...

Q: Find a unit vector that is orthogonal to both u and v.       u = −3i + 2j − 5k,    v = i − j + 4k

A: u=-3i+2j-5k,  v=i-j+4k Now the vector orthogonal to both u and v is, w=u×v=  ijk-32-51-14=i8-5-j-12+...

Q: Define the inverse function?

A: An inverse function is a function which can be reversed into another function. Let a function fx is ...

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f\x) 12 ...

A: Since, you have asked multiple sub parts, we will solve the first three sub parts for you. If you ne...

Q: Match the sequence with the given nth term with its graph. an = 6(−2/3)n−1

A: Given: The sequence with the given nth term, an=6-23n-1.

Q: Implicit differentation for question f,g and h

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Q: Which of the following gives the area of the region between the graphs of y =x3 and y = -x from x= 0...

A: Given, y=x3,y=-xfrom x=0 to x=2

Q: Verify that the infinite series converges.

A: We have to verify that series converges: ∑n=0∞-0.2n=1-0.2+0.04-0.008+...... Looking at series we can...

Q: Evaluate the limit, if it exists.

A: Given limit limx→5 x2-3x-2x+6x-5limx→5 xx-3-2x-3x-5limx→5 x-3x-2x-5  

Q: 12

A: We have to use properties of integration.

Q: The owner of a motel has 2000m of fencing and wants to enclose a rectangular plot of land that borde...

A: Given, The owner of a motel has 2000m of fencing,

Q: Find the indicated limit by using the limits

A: Given: limx,ya,bfx,y=4 and limx,ya,bgx,y=-5. To evaluate: limx,ya,bfx,ygx,y. Solution: Product rule ...

Q: Find the inverse of the function. h(x) = (x-1)5 + 1

A: To find f-1y we can find the input of f that corresponds to an output of y. This is because if f-1(y...

Q: A cylindrical hole of radius a is drilled through the center of a solid sphere of radius 2a. Find th...

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Q: I need step by step on how to complete this problem please help.

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Q: Solve me

A: Given that, E = {1, 2, 3}; F = {-2, -1, 0} For x = 3; y = 0 we have: (x - y)/3 = (3 - 0)/3 = 3/3 = 1...

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show th...

A: fx, y=x2+5xy+sinx+7ex Since the given function consists of 3 terms in terms of x namely x2,  sinx  &...

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x? W...

A: Let f(x)=5ln x       and g(x)=ln x,

Q: I'm stuck on figuring out how to do this problem correctly. Please help

A: Since you have asked multiple questions in a single request so we will be answering only first quest...

Q: Find the vector that has the same direction as (3, 2, -6) but has length 5.

A: Just follow the flow and you are done.

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving...

A: To find the volume of the solid.

Q: find the derivative of y with respect to the appropriatevariable. y = 1/2 sinh (2x + 1)

A: We have to find derivative of y with respect to the appropriate variable: y=12 sinh 2x+1 We know fro...

Q: Use Laplace transforms to solve the initial value problem x"'+x = cos3t; x(0)= 1, x'(0)=0

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Q: Use the Difference Formula for Cosines to Find the Exact Value of 15°.

A: We have to find  the value of cos15°. recall the Cosine-difference formula  cos ⁡ ( α − β ) = cos ⁡ ...

Q: Suppose ƒ is an even function and Evaluate

A: Given f is an even function, ∫-88f(x)dx=18

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of ch...

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Q: A triangle has sides a=7 and b=9 and angle C=60 degrees. Find the length of side c.(round answer in ...

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Q: Consider the following. (Assume that the coins are distinguishable and that what is observed are the...

A: Using probability