Express the given quantity in terms of sin x or cos x. 3π ( 2 + x cos O A. - sinx O B. sin x OC. O D. cos x + sin x cos x

Q: lim [ln(1 + x²) − ln(1 + x)] - X

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Q: y-√√x² + y²)dx-xdy=0 when x= √3, y=1

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Q: Let ƒ(x) = 4x − sin(4x). a) Find f (0). f(0) = b) Find ƒ(§). ƒ(§) = CHECK ANSWER

A: Given query is to find the value of the function at indicated points.

Q: A winch of radius 2 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15 s,…

A: The circumference of a circle with a radius r is 2πr.

Q: 1 اس 3L (A) k=-4, m = = (B) (6) If (ƒ(2x¹)) = 7x³, then ƒ'(x) =: (A) ² (5) 12 3 (B))+ (C) ² 20 (B)4…

A: Note: Since the student has mentioned to solve only question no. (6), so we are solving according to…

Q: The escape velocity is the minimum velocity with which an object must be propelled in order to…

A: Escape velocity is defined as the minimum velocity that is required by a moving body to escape the…

Q: ​, wher

A: Given: sinα=−0.2782

Q: X Let f(x) = cos(7x) and g(x) x + 9 functions and their respective domains in interval notation. a)…

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Q: QUESTION •√√16=7³" to 10 Evaluate dz.

A: Given :∫4-x16-x2dx

Q: a=L Q3: Determine whether the line and the plane are parallel, perpendicular or neither x = 1 + 4t,…

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Q: Find the solution 80 1 + ex O x = -In(77) O x In(3) In(77) = O x In(3) In (80) O x = In(77) - In(3)…

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Q: = f(x): (1) The graph of y = f (x + 4) + 5 is obtained by translating the graph of y (B) Left 4…

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Q: Determine the infinite limit. x + 10 lim X-9- X + 9 Step 1 As x approaches -9 from the left, the…

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Q: the function J (X) = |x - 3| mal places where needed. help (numbers) Complete the table with the…

A: we will find the required.

Q: If log (95) + log(y) = log(z), then 95 + y = z. ---Select--- If In(95x) = In (y), then 95x = y.…

A: (1)  given  log95+logy=logzfrom properties of log loga.b=loga+logbif loga=logb, than a=b

Q: The derivative of a function of f at a is given by provided the limit exists. f'(x) = lim h→0…

A: Please see the below picture for detailed solution.

Q: 2 8 3) (5x² - 4x) dx = in(cinA) (cose)de

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Please see the below picture for detailed solution.

Q: Find the limit and determine if the function is continuous at the point being approached. lim cos…

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Q: 3 Given the initial value problem y' + 79 you should have an integral in your final answer.) sin(t)…

A: Given differential equation:- y'+3ty=sintt2et,t>0,y1=3

Q: 3. Find y' by implicit differentiation. a. x³ 3x²y + 2xy² = 12

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Q: Consider the following indefinite integral. Compute the coefficients: 6x³ + 3x² - 47x - 18 x² - 9…

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Q: If g(0) = (0), 6 (0), 6 sin(0) -7 0 find g'(0) and g "(0).

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Q: (3x-y + 1) dx- (9x-3y-3) dy = 0

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Q: 07 Find the binomial expansion of (z-2)^3 *

A: Given,           The expression is z-23.To find : Find the binomial expansion of the given…

Q: Given that G(x) = cos such that (fogoh)(x) f(x) ƒ(x) = g(x) g(x) = h(x) h(x) = (17x|+), find simpler…

A: Here we have to find the functions.

Q: 3 Find the equation of a plane that passes has normal vector through (-1,4, 1) and that is Parallel…

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Q: Complete the parametric equations for the line where the planes 2x + z = - 3 and 2x3z = 9 intersect.…

A: Given equation of plane is 2x+z=-3 and -2x-3z=9

Q: 03 * Where is f(x) = x² e not increasing O(-infinity, 2) and (2, +infinity) O (-infinity,2] and (2,…

A: Given query is to find the interval where f(x) is not increasing.

Q: y f(x) = 10x log 3 1 X

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Q: find the infinite limit lim x > pie   xcotx

A: We need to find out the limit.

Q: 8. Solve the equation 2(y - 4x² dx + xdy = 0. 2 4 a. X x² + 2x²y = cc. x4 - 2x²y = c b. (x + y - 1)2…

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Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

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Q: 4. If cot(B) = = -and 7 and sin(B) < 0, determine the exact value of cos(B).

A: If cotβ=-27 and sinβ&lt;0, then to determine the exact value of cosβ.

Q: Let f(x) ƒ'(x) = = f'( − 2) = - 2x - 1). Compute each of the following.

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Q: tan(+h)-1 =: (A)1 (B) 0 (C) = h (20) The volume of the solid generated by revolving the region…

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Q: Two vectors, describes the unlabeled vector. i. ii. 111. iv. and w, are shown. Determine which of…

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Q: x dx + sin² X [ydx−xdy ] =0

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Q: Simplify the expression f(x) = g(x) = 22 8x + 12 + 10 x²7x and give your answer in the form of f(x)…

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Q: >/ 2(2x + 4 2(2x + 4)5 dx, u = 2x + 4

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Q: Find the absolute maximum and minimum for the given graph. -5 -4 -3 ET 5 4 3 2 1 -1 -2 -3 1 2 3 4 5…

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Q: A graphing calculator is recommended. Let y 6x sin(x). (a) Find an equation of the tangent line to…

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Q: Consider the following function. = √√x8 + 1 (a) Make a sign diagram for the first derivative. f(x) =…

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Q: 1. Write the equation of the line that passes through the point (−1,2) and is perpendicular to the…

A: We have to find equation of line.

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Let, Pt be the number of people present at time t.

Q: The region bounded by y = e²x, y = 0, x = -2, x = -1 is rotated around the x-axis. Find the volume.…

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Q: (a) Express the area of a circle, A, as a function of its circumference, c. A(c) = (b) Express the…

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Q: (A) - (22) The volume of the solid obtained by revolving of the region bounded by the x-axis and…

A: Given curve Equation:- y=x-1x-32

Q: Let a = 1+2 and b = 21 +1 - K. Find the following quantities. a) २३ - 36 b)|ä1 e) a. b d) a x b

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Q: x+1 148 x+2 Evaluate lim 2x+1

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