8. √(T-2) 0 - x) сos лx dx

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

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A: Given y varies inversly as the cube root of x when x = 64 , y = 4

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A: To find the value of the angle θ

Q: Find the slope of the tangent line to the function f(x) = X² x + 3 at the point (1, 1).

A: Recall: Slope of the tangent line to the function f(x) is, m=f'(x) at given point.

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

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A: To find which of the relations is correct.

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Q: Find the derivative. 10) y = 8x-2-9x3 + 2x

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Q: 4. A line segment L passing through the point (1, 1) has its endpoints lying on the x-axis and…

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Q: A curve is given parametrically as x = secht, y = cosecht + 2 of the curve is ...? X ○a) y = √²² +2…

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Q: The graph of the equation x² - 2x + y² +6y-6=0 is: a) a line through the point (2,-1) b) a parabola…

A: Given equation:- x2-2x+y2+6y-6=0

Q: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

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Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

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Q: 1 (6405 #3 p. 320) Let R denote the region bounded by the curve y = the y-axis, the z-axis, x² +1…

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Q: Find the average value of the function f(x) = 3x² on the interval 3 ≤ x ≤ 6

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Q: Calculate the work W against gravity required to build a right circular cone of height 2 m and base…

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Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

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Q: equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −4, y =

A: Given query is to find derivative.

Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5x + 6y; R…

A: Double integral

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A: The given table for the velocity of the paper is given as                     Time…

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

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Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: A patient's temperature is 101 degrees Fahrenheit and is changing at the rate of  t2 − 3t  degrees…

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Q: S Sinx-cosy-2=0 ; 16) A) -cot X B) -cot y d) -cscy cos X E) dy = ? ax c) Cos X Sin гу 2-CCSX siny

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Q: ²4 cos 20; (0, ± ; (0, 4)

A: We have to find the value of the slope of the tangent of the above polar equation.

Q: Solve the matrix equation. - 1 -2 1 0 3-2 2-2 1 X = y Z 3 25 3 OA. There is one solution. The one…

A: Let's solve Matrix equation.

Q: Find F'(x) given that F(x) = Provide your answer below: K 4x 5 In 1² dt. (Do not include "F'(x) ="…

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Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola…

A: According to question,Given Integral,∫c2xy3-y2 cos x dx + 1-2y sin x + 3x2y2 dy

Q: Use the ratio test to find the radius of convergence of the power series R= ✓ (If the radius is…

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Q: Find a unit vector in the same direction as v = Provide your answer below: (7,24).

A: Given vector v = { 7 , 24 } let u = unit vector

Q: Approximate the area under the curve y=x^3 from x=1 tox=4 using a Right Endpoint approximation with…

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Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Question The region D bounded by y = e, z = 0, and y=z³ is shown in the following figure. Is this…

A: The given shaded region is of type II If we will find the area of the shaded region then firstly we…

Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: f(x) -4 -3 -2 10+ 8+ 6+ 4. 2 1 2 3 X Approximate the area between f(x) and the x-axis from x = -4 to…

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Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: Given that volume of teh right circular cylinder is 1152cm3.And the total alumonium used up by the…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: we have to find the component form of vector v ,   whose magnitude  ||v||=4 and angle with positive…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ COS (2) n = 1 n!…

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Q: (a) 2 P₁² (20- 1 (x-1)e(x-1)² dx

A: We have to solve this definite integral  Which can be solve by using substitution method.

Q: Question Each answer choice below represents a relation by a set of ordered pairs. In which of the…

A: Given query is to find  which relationship is a function.

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A: dtndt=ntn-1formula is speed =dsdtaccelaration=d2sdt2

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

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