'5 '5 If | f(x) dx = 33 and g(x) dx = 18, find [3f(x) + 5g(x)] dx.

Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an ...

A: Initial amount=P=0.6Decay rate=r= 1.15%=0.0115Decay factor=1-r=1-0.0115=0.9885Time=t Final amount=A(...

Q: Find all the hypercritical values of the function. 1 25 f(x) = =a 90x2 12

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Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: To Determine: Complete the table to find the derivative of the function without using the Quotient R...

Q: For what values of x can you replace sinx by (x−x^3/6), with an error that is smaller than 4x10^(−3)...

A: To find: The values of x can replace sinx by x-x36  , with an error that is smaller than 4×10-3 .

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain pro...

A: Consider the given demand function and supply function, p=183-2x2 and p=x2+33x+24 respectively the e...

Q: graph the two equations and find the points atwhich the graphs intersect. x2 + y2 = 1, (x - 1)2 + y2...

A: To Determine: graph the two equations and find the points at which the graphs intersect. Given: we h...

Q: 5. A new colony of bees can make honey a rate of e'/6 – 1 gallons per month. How much honey will the...

A: Given a new colony of bees make honey at rate of,  et/6 - 1 gallons per month.  Where 't' is the tim...

Q: 4. Find Lim?→0^+ (1/(e^x - 1) - 1/x)

A: Given :          limx→0+1ex-1-1x

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 2x + 6x? a...

A: Given function, f(x)=2x3+6x2

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from e...

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A: The derivative represents the rate of change. Since given that, the length of a rectangle is increas...

Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression...

A: Answer and explanation is given below

Q: Determine whether f is even, odd, or neither. If youhave a graphing calculator, use it to check your...

A: f(x)=xx2+1 To check: For even, odd , or neither.

Q: The radius of a sphere decreases at a rate of 6m/sec. Find the rate at which the surface area decrea...

A:

Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

A: To find two positive numbers 'x' and 'y' such that,  x + y = 78     => y = 78 - x And such that 2...

Q: Find the critical points of the function f(x, y) =x³+y³+3x²-3y²-8 (0,0), (0,2), (-2,0), (-2,2) a. Ob...

A:

Q: Find all vertical and horizontal asymptotes of the function g(x) = (x − 3)/(x2-9)

A: Given, gx=x-3x2-9  

Q: Use appropriate formulas from geometry to evaluate the integral |- V81 - x dr. Write the exact answe...

A:

Q: Carry out three steps of the Bisection Method for f(x) = 3* - x' as follows: (a) Show that f(x) has ...

A: Given: The function fx=3x-x7 To Determine: (a) fx has a zero in 1,2 (b) Which subinterval 1,1.5 or 1...

Q: For the equation, use implicit differentiation to find  dy/dx. x(y − 8)2 = 9 dy dx =?

A:

Q: Let f'(x) = 100x(2x+3)(x-5), use the first derivative test to determine the location of the local ex...

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Q: Determine the following limit: In(12æ) lim %3D (12x

A:

Q: Find the limits in Exercises 36-40  Are the functions continuous at the point being approached?

A: We’ll answer the first three questions since we answer only one question at a time. Please submit a ...

Q: For the function f whose graph is shown, state the following. (If an answer does not exist, enter DN...

A: (a) From the given graph, it its found that the curve move towards the negative larger number as X a...

Q: Question is attached

A: Given function, y=tan4x+π3

Q: I hope you can help me my dear.

A: Here, we are going to solve only one question and for the remaining question please post the questio...

Q: Find the minimum value, interval for which f(x) is increasing, give the points of inflection, interv...

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of inflec...

Q: Simplify the given expression. ∛32 / ∛2

A:

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [– 2...

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0...

Q: Test the series below for convergence using the Ratio Test. n° 0.6" n=1 The limit of the ratio test ...

A: From the series we get an=n50.6nUsing the limit of the ratio of two consecutive terms we get:L=limn→...

Q: Evaluate the integral using the following values. Ca*dx = 1020, Sz dz dx = 30, C da = 6 %3D Solve : ...

A: Given integral, ∫286x3-12x+5 dx

Q: Limits with a parameter Use Taylor series to evaluate the followinglimits. Express the result in ter...

A:

Q: Sketch the graph of a function that has two localmaxima, one local minimum, and no absolute minimum

A: To sketch: The graph of a function that has two localmaxima, one local minimum, and no absolute mini...

Q: Evaluate the limits. 2.r2-3 r 1 Enter DNE if the limit does not exist. a) lim f(r) = 2-1- b) lim f(r...

A:

Q: sin θ = 0.9499.Use a calculator to find the value of the acute angle θ in radians, rounded to three ...

A: Given that sinθ=0.9499.

Q: Recall that the "degree" of a polynomial is the largest exponent that a term in the polynomial conta...

A: The degree of a polynomial is the highest power of the variable in a polynomial expression.  

Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t  se...

A: Given :         H=58t-0.83t2

Q: Use the given partition and sample points to approximate the definite integral of f(x) = x2 +x+7on t...

A:

Q: Vector equation Find all vectors u that satisfy the equation                        ⟨1, 1, 1⟩ × u = ...

A: Given :           1,1,1×u=0,0,1

Q: For the given cost function C(x) = 62500 + 800x + x2 find: a) The cost to produce 1950 items: $ b) T...

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Q: Determine the following limit: 3x2 2x 8 - - lim x -2 2x

A: