Find sin 2x, cos 2x, and tan 2x if sinx = - sin 2x cos2x tan 2x = 11 0 0 2 √13 and X terminates in quadrant III. 1 0/0 Ś

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

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Q: Assume that marginal revenue is given by: dI(x) / dx = 2,500 - x - 2x2 a) Determine the revenue…

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Q: Find the distance between (1,5) and (1,1).

A: We have to find the distance between the points 1,π2 and 1,π

Q: 4. For the function f(x, y) = 9x³ + 10y4 - 10xy + x³y² + 4x + 27y +29, find all the first and the…

A: Concept: Any function with many variables has a partial derivative when one of those variables is…

Q: b. For the cylindrical shells method, consider the region bound by y = √r² — x² in the first…

A: Given figure:-

Q: 3₂ If t=15157, evalvate if possible Part 1. Sin t 13 له b) none - 이글 e) 9 + ا (a C) - 0) ) 6)-1 یہ -…

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Q: Remove arbitrary constant in the given relation. x = sin (w t + ß); w - parameter, not to be removed

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Q: Find a value of c so that f(x) is continuous at x = 1. f(x) = O c=1 O None of these Oc=0 ○ c= -1 O…

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Q: Differentiate y = arctan(2). y' =

A: Given: y=arctanx   As we know that: The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use…

Q: 1. Find the derivatives of the following functions: a) f(x) = 2x³ + e²x b) f(x) = ln (2x - 1)5

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Q: = (-₁,3/-) ₁ a. Use the following definition of the slope of the tangent line at x = a to find the…

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Q: Consider x^6 +7xy^2 = 15065, find dy/dt when x = 5, y = -4 and dx/dt = 2 dy/dt = ?

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: 16 Let Find A-1, if it exists. a) O b) O A|- A10 ú A/w Alu o N/W N/W - alt AI AI A Alo Alto ú -4 -|-…

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Q: Use the Quotient Rule to compute: ਹੈ y dy y+5æ

A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is…

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Q: Analyze the function f(x) = {. No 12 -10 if z < 6 +7 if x ≥ 6 √6 Your classmates may be analyzing…

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Q: Evaluate the integral or state that it diverges. İA... 25e2x +49 In 7/5 -dx Select the correct…

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Q: 1 f two resistors with resistances R₁ and R₂ are connected in parallel, as shown in the figure, then…

A: Given query is to find the rate of change of R.

Q: 4 A stone is thrown upwards out of a window, and the rate of change of its height (1 metres) is…

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Q: (a) y" + y = cos(x); y(0) = 1, y'(0) = -1.

A: Given

Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.003t² +0.8t where…

A: Given: M't=-0.003t2+0·8t To find: Total number of word memorised in first 30 minutes.

Q: M3 X M₁ = Rows: 1 Columns: 1

A: M1 has 2 rows and 2 columns and M3 has 3 rows and 2 columns. Since, Number of columns of M3= Number…

Q: A. B. C. D. Build as few logarithmic functions as possible to satisfy each constraint at least once.…

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Q: Enter

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Q: 9. lim 818 4x + 3 5x − 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: f(x)-f(a) x-a a. Use the definition man b. Determine an equation of the tangent line at P. c. Plot…

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Q: 7.) f(x) = x²+3x-4

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: The given region is:x=33y ,      x=0    and     y=2

Q: Find the area enclosed by the given curve and the y-axis x = t² - 5t y = √t 0 X

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Q: Find the curvature by using the formula k(t) = (a) r(t) = (e¹²¹)i +213 +4k at the point where t = 0…

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Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x&lt;1kx=14-xx&gt;1

Q: Remove arbitrary constant in the given relation. y = Ae²x cos 3x + Be²x sin 3x

A: y=A e2xcos3x+Be2xsin3x Differentiate with respect to x:…

Q: Let F = sin(4x + 2z)i – 6ye*² k. Calculate div (F) and curl (F). (Express numbers in exact form. Use…

A: GivenF=sin(4x+2z)i-6yexzkWe are required to finddiv(F)curl(F)

Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: Use a table of integrals to evaluate the following indefinite integral. This integral requires…

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Q: Use Laplace transforms to solve the initial value problem: y" - 10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: 17 Let I = [x² dx = 1596 and consider the Trapezoid Rule, T(n), and the Midpoint Rul 5 a. Compute…

A: Let's find T(12) and M(12).

Q: Given that f(x) = 2x+cos(x) is one-to-one, use the formula to find (f ¹)'(1). (f ¹)'(1) = 1…

A: Given that :  f(x) =2x + cos(x)  is one to one    To find : (f-1)1 using the formula (f-1)'(x)…

Q: 4. Y 4. y. 34-46 where

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Q: 4. TT/6 t sin

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Q: Let Find A -1. if it exists. 4) b) O ) O 05/13/1 1 ۔ ه - -4 0 0 -1 | | ON T مام دام نه دانه شبانه…

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Q: 2. 2 S² X (x + 1)² dx

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

Q: -4-x² - y² 4 component. For the function f(x, y) (-3, -3) that has a positive find a unit tangent…

A: Let's find unit tangent vector.

Q: Find the rectangular coordinates of the points that the polar coordinates are given. (c) (-6, -5π/6)

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Q: Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B

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Q: Find the value of 3 sin(2x) sin(x) dx.

A: Given query is to find the integral.