Evaluate the integral. √√225-1² dt √√225-1² dt =

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Q: dy dx =x√√√y; y(2) = 4

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Q: Find the slope of y= 1-x x² +1 at x = -4.

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

Q: If f(x) = √√7 - 4x, find a formula for f-¹(x).

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Q: 6) 18a3bc4 3,6 A 63 2 (3 2. 20303aaq bi ٢٢ وطاط محافظ کا 120303 ط bbs

A: Given; Sqrt(18a3b6c4)

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Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: 1. Find the second derivative of f(x), then find the x-values at which f(x) is concave up and the…

A: concavity of the fx=3x3+12x2+5x+7

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x (B) Find the differential…

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

Q: 8 A communication signal is given by the function sint y== The task is to: a) Derive and equation…

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Q: A rectangular box is to have a square base and a volume of 81 ft3. If the material for the base…

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Q: The traffic flow rate past a certain point on a a highway is q(t) = 1300 + 2000t - 420t2 where t is…

A: Topic = Algebra

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Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

Q: 5 Given k (x) = 6x +x, answer the following: Part: 0 / 4 Part 1 of 4 (a) Find k(-x). *(-x) - y

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Q: If lim x→3 f(x)-4 x-1 = 2, then lim f(x) = x →3

A: To find the limit of the function at x=3.

Q: Find the derivative of f(x)= x^13+8^x f'(x)=? please answer ASAP and write neatly Thank you.

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Q: Suppose f ¹ is the inverse function of a differentiable function f and f(2)=9, f'(2) = }, then (f…

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Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 O A…

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Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

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Q: Let F(t) = ( Find 1 t +4 i fr(t)dt ( )dt (don't include the +C) fr (t) dt = {{ -, 4 sin(-2t), √2t…

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Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

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Q: 1. Given f(x)= = 10x 5 4x + 5 and g(x) = 2x + 1. a. (6 points) Find and simpify fo g(x). b. (3+3+3…

A: Given functions are fx=10x-54x+5, &amp; gx=2x+1 We need to find following f∘gx f∘g0,g∘f0,f∘f0…

Q: 1. A chord passing through the focus of x²= 8y has one end at the point (-8,8). What is the other…

A: As per our guideline we can solve maximum one question you can repost other question

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis 448 3 O…

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Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation

Q: Find the y'(0) when y = cos (sec²(2x))

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Q: Obtain the differential equation whose general solution is y = C₁ +₂e³x. O A y"-3y' = 0 3y"-y' = 0…

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Q: Let y = x5 ln x y' = = y" =

A: Topic - first and second derivative of a function We are given,  y=x5ln(x)we know…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 4 1₂2x²(x3 x²(x³ + 8)²…

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Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known area…

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Q: Complete the following probability distribution table and then calculate the stated probabilities.…

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Q: Set up, but do not evaluate, an Integral for the length of the curve. osys 21/12 O O x = 8 sin(y),…

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Q: Solve the DE. (x³ + xy²-y)dx + (y³ + x²y + x) dy = 0 O arctan(‡)=C − x y O arctan (=) = C - x² - y²…

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Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: Find the first order Differential equation of (x-2)y'=y+2(x-2)^3

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Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: 3 (x-2) y'= y + 2(x-2)

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Q: Let r(t) = (-4t¹ - 4, 4e-2t, sin(-3t)) = Find the unit tangent vector T(t) at the point t T (0) = 0.…

A: Given; r(t)=&lt;-4t4-4, 4e-2t, sin(-3t)&gt;.

Q: Find an equation of the tangent line to the function y = 2x² at the point P(1, 2). Solution We will…

A: We need to find an equation of the tangent to the function y=2x2 atthe point P1,2.Note: We will…

Q: Use the given information to find the indicated probability. A ∩ B = ∅, P(A) = 0.5, P(A ∪ B) = 0.7.…

A: Topic = Probability

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 12 56°

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Q: What is the least possible degree of the polynomial graphed above?

A: We know that ,                          Least degree of polynomial is given by n+1 . where n is…

Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function