Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

Q: Find r(t) if r '(t) = 2t i + 4t3 j + √ t k and r(1) = i + j. r(t) =

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Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: Q5 Answer by "True" or "False" of the following questions: (four only) [6 1- If I[ A=[§__25], then…

A: Topic = Integration

Q: The diagram below is an oblique, or slanted, rectangular prism. Not all angles shown are 90°.…

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Q: Use algebra to evaluate the following limits. x-6 a) lim x6 3x² - 12x - 36 x² + 2x² + 7x 4x b) lim…

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Q: A cylindrical tank, shown to the right, has height 8 m and radius 3 m. Suppose the water tank is…

A: Here, the density of water  ρ=1000 kg/m3&g=9.8 m/s2 Here, the radius of the cylindrical tank is…

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: Consider the following differential equation. t In(t)- dr + r = 4te² dt dr Find the coefficient…

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Q: f(3x + 2)² dx

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Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y =…

A: Question 1: When a tangent line is horizontal to the graph of function , that means the slope of…

Q: Find the greatest common factor and least common multiple of A, B, and C. Write your answers as a…

A: We need to find G.C.F. , H.C.F.

Q: }} If y cos(xy) dydx = x=0 y=0

A: Here we have to find the integral.

Q: 6. f²₁ x dx

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Q: Question (5): Determine the intervals where the function f(x) = 2x³-3x² - 36x + 2 is increasing or…

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Q: 9. The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300+40…

A: Given.

Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

Q: The value of V(-25) is * О -5i 4i 5i оооо О -4

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

Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below

Q: A pediatrician records the age .x (in yr) and average height y (in inches) for girls between the…

A: 1. The linear function through 4, 38 and 8, 502. The linear function through 12, 14.3 and 40, 22

Q: Express e in the form a + ib. (Simplify your answer completely.) z = -0.26-7

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Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: Which of the following is the general solution of: y(x+1) 2 dy dx x Select one: O a. 2lny = x - ln x…

A: Given problem :- 2dydx=yx+1x

Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

Q: 9. The volume of inflated beach ball is about 2423 cm³. What is the diameter of the ball?

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Q: M=12 & f=5, what is mf squared

A: M=12 & f=5, what is mf squared

Q: Question 2 > Find all solutions of the equation sec² X 2 = 0. π The answer is A + Bkπ where k is any…

A: Given :2. sec2x-2=0

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

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Q: I It ex 1-ex dx

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Q: Use the graph of h(x) shown below to evaluate lim_h(x), if possible. If the limit does not exist,…

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Q: Q3: Find the remainder when 3181 is divided 17

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Q: Problems bany CARRAS stalwin A داراه rablare, ww.ap. Problem 9 rober 19 graphy belowy is lustrated…

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Q: We are trying to prove the following limit. lim (-3x - 2) = 1 x→-1 1 Suppose that we have found a…

A: We are trying to prove the following limit.limx→-1-3x-2=1Suppose that we have found a value of ?…

Q: Sketch the set of prints determined by given Condition 러니 12-util =3 -i

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Q: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Question 3. The following figure shows the graph of the derivative f' of a function f, where f is…

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Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: x² - 4 S √3x² +18x+27 dx

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Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: If tant -4, what is tan (t = π)? Enter the exact answer. tan (t) =

A: Given tant=49To find tan(t-π):

Q: √ ² (2 + Inx) ² 4x dx

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Q: The​ half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the…

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Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

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Q: 4. The top ten state populations, in millions, according to the 2010 Census, are shown in the table…

A: From the given table, we need to find Percentile  and Percentile Rank.

Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: Given question:- Which degenerate conic section is formed when a double cone is sliced through the…

Q: Simplify the expression from the previous step by canceling the common factors. sin ²0+ The…

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Q: 6 7. S 36+x² dx

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Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

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