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Q: Solve the initial value problems ds/dt = 1 + cos t, s(0) = 4

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Q: State the name of the property illustrated. 1/(x + 3)(x + 3) = 1, x ≠ -3

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Q: Hi i need step by step break down need help on b and c

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Q: Find f '(x) and f ''(x). f(x) = (x3 + 9)ex f '(x) = f ''(x) =

A: Given data: The expression for the given function is: f(x)=(x3+9)ex. The expression for the firs...

Q: Describe in words the region of R3 represented by the inequality x2+ y2+ z2> 2y − 2z.

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 - x1...

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1 From y = y1 + t(y2 - y1) we get: y-y1=ty2...

Q: How do I evaluate the limit

A: limh→01x+h2-1x2h We need to evaluate the given limit.

Q: Evaluate the integral 8t (181² – 3)î + 1?+ 1 t k dt 12 + 1 /

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Q: ignore the text on top . thank you

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: use a CAS to perform the following steps:a. Plot the functions over the given interval.b. Partition ...

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Q: Help solve need breakdown steps c104

A: To find the points at which the tangent line is horizontal we need to find at which point the slope ...

Q: I need a solution

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Q: Find the domain of the rational function f(x) = (x2 - 9)/(x - 2) and graph the function.

A: The given function is:

Q: Factor each expression. (a)4x2 -25

A: 4x2-25

Q: Soon after taking an aspirin, a patient has absorbed 320 milligrams of the drug. After 2 hours, only...

A: Given information: A patient has absorbed 320 milligrams of the drug. After 2 hours, only 80 milligr...

Q: 8r + 5tant Find lim t>0 sint

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Q: Use the error bound to find the smallest value of N for which Error(SN) s 10-9. 4/3 dx N = 304

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Q: A television programmer is arranging the order that five movies will be seen between the hours of 6 ...

A: Five movies are there and two are in pair and are of G rating. One of the movies is of NC-17 and has...

Q: Fill in the blank/s: The number of ways in which a series of successive things can occur is found by...

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Q: Let f(x) = cos x. We can compute f")(x) as follows: First, express 4m +r where m is a whole number a...

A: Given, f(x) = cosx, we have to compute fn(x) according to the given information. First express n = 4...

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. f(x)...

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Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 200 180 162 f(x)=

A: Consider the given table x 0 1 2 f(x) 200 180 162

Q: 2. 3 to

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Q: Find the coordinates of the midpoint of the line segment joining the points.(4, 0, −6), (8, 8, 20)

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Q: 450 divided by 9 equals 129 divided by 4 equals

A: Given 1. 450 ÷9 = 50

Q: Using data from 2002 and with projections to 2024, total annual expenditures for national health car...

A: Given that E= 15,315 For that E we need to find x

Q: how long will it take to have a final balance of $100,000 if $1,000 is invested at 5% interest rate ...

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Q: In Exercises 1-4, fill in a table of the following type: f(g(x)) f'(u) f'(g(x)) g'(x) (f og)(x)

A: Given Functions: fu=u32 1 gx=x4+1 ...

Q: Need help to find derivative and best rule to use c43

A: Given fx=x3+6x2 Rewriting the equation: fx=x3+6x212

Q: Use properties of logarithms to condense the logarithmic expression . Write the expression as a sing...

A: We first use the product rule of logarithm. 12(logx+logy)=12log(xy)

Q: Consider the triangle in 3-space whose vertices are the points P(1, 1, 1), Q(5, -10, 2), and R(7, -1...

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Q: Sorry it was easier to post as one question considering 1-3 all pertain to the same graph! need help...

A: The domain of the function is from [-3,3] and the range of the function is from (-1,2]. Domain is t...

Q: Evaluate 3 х —125 lim X- 5 x→5

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Q: Suppose that an oil spill in a lake covers a circular area and that the radius of the circle is incr...

A: Given: An oil spill in a lake covers a circular area and that the radius of the circle is increasin...

Q: T-shirt Profit - The latest demand equation for your Yoda vs. Alien T-shirt is given by q=-40x+600 w...

A: Given: The latest demand equation for your Yoda vs. Alien T-shirt is given by q=-40x+600 where q is ...

Q: Evaluate the integral by using partial fractions.

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Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

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Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The par...

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Q: Describe the transformation in this function:f( x)=(x-7)^2

A: f(x)=x-72.

Q: A freshly brewed cup of coffee has temperature 95 ° C in a 20 ° C When its temperature is 70 ° C it ...

A: The temperature of a freshly brewed coffee is 95°C and the temperature of the room is 20°C. When the...