2. √ In x da; u = lnx, dv=√x dx và u= do

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A: Given query is to solve the differential equation.

Q: the An electron in a TV tube is beamed horizontally at a speed of 5.7 x 106 meters per second toward…

A: We can find how far the electron drop .

Q: The angle addition formula for cosine is cos(a + 3) = cos a cos BF sin a sin 3. Use this formula to…

A: To find the value of given trigonometric expression

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A: Given that the parametric equation of parallelogram is x=u+v,y=u-v,z=1+2u+v with 0≤u≤7,0≤v≤5And the…

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

A:

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: Find a unit vector in the same direction as v = (-8,-6).

A: Given  v = <-8, -6> To find the unit vector in the same direction as a vector we divide it by…

Q: A right triangle whose hypotenuse is √12 m long is revolved about one of its legs to generate a…

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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: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: 8 3s²+12 + 3 $²+49

A:

Q: 1. Given that f(x) = -5x² + 2x - 6, find: f(x+h)-f(x) (a) 4f(x)-f(2) (b)

A: To find the values of given expression using f(x)

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

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Q: Determine the area of the region bounded by y = Area = || 3x x3 and y=- on the interval [1,10].

A: We know on [1,3] 3/x >= x/3 and on [3,10] x/3>=3/x

Q: When solving a triangle which is not drawn, you must consider several scenarios: (1) No triangle is…

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Q: Let g(x, y) = 3 + x3 - 6 . x2 - 5 . y2 +1. - a. да дх S

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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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Q: Evaluate the definite integral 7 S₂ (8x + 2)dx

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Q: The pressure P and volume V of an expanding gas are related by the formula PV¹ = C, where b and C…

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: Using the derivative of f(x) given below, determine the critical points of f(x). 19) f'(x) = (x -…

A: The given data is: f'x=x-22x+9 To determine the critical points of fx

Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

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Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Given f(x, y, z) = √4x + 6y + 3z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

A: The given function fx, y, z=4x+6y+3z. We have to find the values of fxx, y, z, fyx, y, z, fzx, y, z.

Q: Find the center, foci, vertices and asymptotes of the hyperbola. (y-3)^2/ 25 - (x+1)^2 =1

A:

Q: g'(2) = g(x) = x + 4

A: dxndx=nxn-1g(x)=x+4x2g(x)=x+4x-2

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

Q: sides of lengths 6,10 and 7. Find 2) A triangle has the mesure of it's largest angle to the nearest…

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Q: Assume that the radius r of a sphere is expanding at a rate of 7 in/min. The volume of a sphere is V…

A: Differentiate volume wrt t then put value

Q: 8. An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight…

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Q: In which of the relations represented by the tables below is the output a function of the input?…

A: To find which of the given options shows correct output for the given input.

Q: 8 3 3.s²+12 $²+49 +

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Q: Find an equation of the plane. The plane through the point (1, 8, 2) and with normal vector 5i + j -…

A: we have to find the plane equation which ,    passing through point P( 1, 8 ,2 )  and with normal…

Q: Complete parts (a) through (c) for the following function. 1 x² +10x+21 f(x)= (a) Find intervals…

A: Given: fx=1x2+10x+21=1x2+7x+3x+21=1x+7x+3 Function is not defined at x=-7, -3. So, the domain is…

Q: Find the area between the curves y = e Area = 0.6x and y = 2.1x + 1 from x = 0 to x = 2.

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Q: 7. Suppose you want to use 1020 feet of fencing to enclose a rectangular plot of land. The fencing…

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Q: The first 4 terms of the Maclaurin series for e -2x O a) 1 - 2x + x² - 4x³ Ob) 1 - 2x + 2x² – x³ -…

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Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t² - 5t + 7 for…

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Q: Use the fundamental identities and simplify the expression sin² x (cot² x + 1) to get a numerical…

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Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: Find the angle between u = (4, -3) and v = (24, 10). Round your answer to the nearest tenth of a…

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Q: cả tên l x-6 The graph of R(x)= Find the equations of any vertical, horizontal, or oblique…

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Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

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Q: Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) =x^2 The area (rounded to two decimal…

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Q: Write the equation x=y^2 in polar coordinates and state the vaules of theta that produce the entire…

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Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: Find the second derivative of the function. 8) s= +7+5t+3 ₁2

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Q: Find the curvature of the curve r(t) = (-3t, – 5t5, – 3t¹) at the point t = 2. Give your answer to 2…

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