3 .4 ²³₁₂₁ (4x²y — z³) dz dy dx

Q: xy' + (x +1) y xe sin 2x

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Q: 3 Evaluate: ₂(4x²y - z³) dz dy dx

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the…

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Q: Evaluate: ₁³₂₁(4x²y — z³) dz dy dx -2

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

Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: An integrating factor for the linear differential equation y' + = x is Select the correct answer. O…

A: This question can be solved using the concept of linear differential equation. Note: elna=a

Q: Evaluate the integral: 7/20¹² sin (1) dt du

A: Follow the procedure given below.

Q: For the following graph of a function, estimate the area under the curve in the interval [-4, 2]…

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: 22. Find a domain for the quantifiers in 3x3y(xy^ Vz((z=x) v (z = y))) such that this statement is…

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Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

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Q: v (2uv²-3) du + (3u²v² - 3+4v)dv = 0 Ov(u²v² +3u + 2v) = c 2 Ov(u²v² +3u-2v) = c Ov(u²v²-3u-2v) = c…

A: We need to solve D.E.

Q: Find the point on the line y = 8x closest to the point (1,0). (Use symbolic notation and fractions…

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Q: derivative of (√2)^csc4x

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Q: ع لح ل(۸ + ")APNPLPLg للع(۸

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Q: Integrate the following Integrals: 1) [x² 3x dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Define R as the region bounded by the functions f(x) = 3 and g(x) = x + 1 between x = 0 and x = 1.…

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Q: If the total cost function is given by TC = 300 + 5g + 3 then the marginal cost function MC = O a.…

A: We have to find the marginal cost function.

Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in - [0]. If…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: Ex. Find the general solution to dy 1 -2.x dx X -

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Q: Evaluate the integral: S772 Sỗ sin(4t – u) du dt t/2

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Q: V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t +…

A: Velocity

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

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Q: mydx = nxdy

A: answer is in next step . please give a like !!!

Q: ways

A: Please refer to the image below

Q: 3 Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: Topic = Integration

Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

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Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

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Q: Write Z₁ and Z2 in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = 2√3-21, Z₂ = −1 + i

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Q: Convert the following from parametric form to scalar form. x = 2t + 1y = -3t + 1

A: Find t from y and substitute that t in x to find the relationship between x and y.

Q: 3 Evaluate: £³₂ √²₁ ₁²[z³(x + y)³] dz dy dx

A: Given :∫-23∫-12∫01z3x+y3dzdydx

Q: Given f(x) = x2 - 2x - 3 the value of x for which the function has a point of inflection is: 1. x =…

A: In this question, we want to find the inflection points of the given function.

Q: w = 4x + y² +2²³₁ x = ers²₁, y = 1 y = In(r+s).

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Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: -In Evaluate the integral: ²²ste du ds dt

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Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: 6. What is the measure of the angle 0 between the vectors u : = (6, 2, 1) and 7 = (−4, 1, 2)?

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: Evaluate the following limit, if it exists: lim x->1 = x2 + 4x - 5 / x-1

A: This question can be solved using the concept of limits.

Q: Given F(x) below, find F'(x). cos - Las () (1² - 2) dr F(x) =

A: Given.

Q: Find a number in [0, 1] such that the difference of one third the number from its cube is minimized.…

A: Let the number be x. Let f(x)= x³-x/3 So, f'(x)= 3x²-1/3

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: -3 Evaluate the integral: ³ ft t² et du dt

A: We know, ∫emxdx=emxm , for any real number m. ∫xndx=xn+1n+1, for any real number n.

Q: 3 Evaluate the integral: Soft²eu du dt

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Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

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Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k