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Q: A sample of a radioactive substance decayed to 95.5% of its original amount after a year. (Round…

A: Using radioactive decay law we can solve the question

Q: For the following exercises, determine whether each of the following relations is a function. 1. y =…

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Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

A: Given graph of derivative of function

Q: Find the point of intersection of the pair of straight lines. y = -6x - 9 -y = 7x + 3 (x, y) = × )

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Q: Vectors. v=i-2j+k, w= i +2j-3K a) Compute the length of V-W.

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Q: 2. and (0, 0, 2). Find an equation of the plane containing the points (1, 0, 0), (0, 1,0)

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Q: For each of the differential equations below, state the general solution. If an equation has a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: y = ((x+2) (x²+1))4

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: 5. Sketch the domain of f. (a). (Q24) f(x, y) = √√√x² + y² - 4. (b). (Q28(b)) f(x, y) = ln(y - 2x).

A: given function

Q: (log₂ z + 3 log2 y)|

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Q: Find the derivative of y = x².

A: y = xx

Q: (A) f'(x) = (C) f'(x) = e+e-> (e-e) (e +e¯)-(e² −e¯¹) (eª +e¯²) (e+e-)2 (e +e-)²-(e-e¯¹) ² (e+e-)² =…

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Q: X x +1 dx =

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Q: A quadratic function f is given below (a) Determine whether the given quadratic function has a…

A: Consider the quadratic function ax²+bx+cIf a<0 then the function has a maximum value and the…

Q: Given f (x) = sin x + cos x and f'(x) = cos sin x on the interval [0, 2π], find a value c that…

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Q: Which graphs define y as a function of x? Select all that apply. Press the hotspot for each graph…

A: Functions is a relation “f” in which each element of set “A” is mapped with only one element…

Q: For each of the numbers a, b, c, d, r, and s, state whether the function whose graph is shown has an…

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Q: A factory with an assembly line can produce more automobiles per week as more employees are working…

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Q: 2. fe²sin z dz

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Q: 01-143 2 −14x- 147+ink +1+C 를+2x+ + 2x + inx + 491+C O ) 글 (x+21) (x+7)-491mk+7l+C 01-21(x •21)(x+7)…

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Q: Evaluate the improper integral if it is convergent. (If it is divergent, type DIVERGENT.) X dx

A: Let,

Q: Find the length of the curve y 4 - 6x 5 from y = 0 to y = 30.

A: The given curve .The aim is to find the length of the curve from  to .

Q: Calculate the derivative of the following func (3x²+7x) 10 (x²+2x+7)8 10x + 1

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Q: Let ƒ : R¹00 → R be the function that sends each point (x1, x2, X3,. the sum of its coordinates.…

A: The function  such that it maps  to the sum of its coordinates.The aim is to find the value of the…

Q: The force of interest, X, at time ,t, is given by X(t) = 0.02 for 0 < t< 5 and X(t) = 0.05 for t ≥ 5…

A: To calculate the present value of a payment stream, you can use the formula for the present value of…

Q: Suppose that f(x) is a function with f(135) = 43 and f'(135) = 7. Estimate f(138). f(138) = ____

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Q: Question 3.25) Differentiate the following. (Chain rule required.) Simplify your answers when…

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Q: Find any critical numbers of the function f(x) = (5x (5x - 4)e-3x Enter your answer(s) as a fraction…

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Q: When writing the following linear system of equations in the matrix form A 421 + 3x2 = 5 -3x1-x2 =…

A: Given,

Q: Use Newton's method to approximate the given number correct to eight decimal places. $17

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Q: —2 — 6x — x²|

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Q: 3-8 Find the limits. 8 lim x→0 √x²+4-2 x²

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Q: t says it is wrong. This is the question  List all possible rational zeros given by the Rational…

A: The given function is

Q: Identify the original function f(x) and what value of c to evaluate f'(c). (3x-9x²)+(42) x+2 lim…

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Q: 1. Compute the following limits. sin(2x) 6x (a) lim x→0 5√x x+0+ sin(8√x) cos² (x) - 1 x (b) lim (c)…

A: Apply L'Hopital's rule.

Q: This figure (la = 10.0 m/s²) represents the total acceleration of a particle moving clockwise in a…

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Q: da Given that a t¹ = 6a²t, find using implicit differentiation. dt da dt ||

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Q: Let f(x) = x²e11x (a) Find the critical values of f(x). (Enter your answers as a comma-separated…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: ³+1 2x²5x 3 S dz.

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Q: Let f(x) = x³ + 6x² − 96x + 23. Use the definition of a derivative or the derivative rules to find…

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Q: lim 818 2 x²-5 2x²+1

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Q: 1 $ -2 (x²+2x+1)

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) √x + 10 - 4 X-6 lim X→6

A: given limit

Q: Find the average height of the paraboloid z = x² + y² over the square 0 ≤x≤2, 0≤y ≤ 2. The average…

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

Q: Find y' and y". y" || = In(|csc(x)) y= y

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Q: The graph shows the number of gallons G of gasoline in a person's car after t days. G 20 Number of…

A: Given graph of function

Q: When you learned operations such as multiplication you only learned results such as 5x3=15. If you…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Suppose you drop a ball from a window 15 meters above the ground. The ball bounces to 70% of its…

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Q: f(3)=3 lim f(x) = 4 Find the following limits. Use ∞o or -∞o as appropriate x² - 4x+4 x²-4 lim x² -…

A: Note: As per  our guidelines we are supposed to answer only one question if there are multiple…