Divide: 2ху x2y+3xy %. 4x+12 x2+6x+9

Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: 4. S (y³+4)dy y(y+1)

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Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…

A: Let  B be the number of burritos, T be the number of tacos

Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

A: Answer is in next step, please give a like!!

Q: 2. Use Green's theorem to evaluate fe e-x³ dx + (5x + sin(y²)) dy, where C is the circle x² + y² = 4…

A: Please see the below picture for detailed solution.

Q: Find the volume of the solid generated by revolving about the y axis the region under the curve…

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Q: Evaluate: [² 3 x³dx -

A: Here we have to find the definite integral.

Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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Q: -10 70 60 50 40- 30- 20 10 10 10 20 30 Dmitry is a lifeguard and spots a drowning child 30 meters…

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Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: s) Given the piecewise function below, find h(-5) and h(-4). if x < -4 h(x) = { 6x - 7 √x+8 ifx ≥-4…

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Q: Express the limit lim n→∞ a = n b = i=1 Provide a, b and f(x) in the expression (6 cos² (2πx)+5) Ax;…

A: To find value of a, b and f(x).

Q: 1-y 2 Consider the plane : x - 2y + 3z - 1 = 0 and the line 1: x= 1. Find the point of intersection…

A: 1) Given: l: x=1−y2=z+1 Let ,  x=1−y2=z+1 = λ Any general point on the line l will be x=λ, y=1-2λ,…

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

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Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

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Q: What is the point-slope form of the equation that goes through the origin and has a slope of 1.5? y…

A: The point slope form of a line passing throught the point (x1,y1) and has slope m is  y-y1=m(x-x1).…

Q: 200000 Find the limit algebraically by factoring the expression first: lim 211 0 Limit Does Not…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: The magnetic field along a solenoid is conservative and given by 2xy 7- (2 x ₁-2x, (x²+1)-2). ¡−2x,…

A: Given a vector field as F=2xyx2+1-2x,lnx2+1-2 We need to find the scalar potential from which this…

Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

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Q: The infinite series Σ a. series liner 8 n¯4 is a

A: We know that the p-series is the following. Thus, for             p=4.

Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

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Q: Find the exact sum of the following series (-1)-1 (0.25) 12 (0.25) 3 (0.25) 4 (0.25) 5

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Q: Which of the following represents a valid first step to solving this system of equations using the…

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Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (−2,…

A: First we need to find the equation of the quadratic function.

Q: Suppose that h(x) = f(x) g(x) and that we know the following f'(3) = -1, g(3) = 2, & g'(3) = -5.…

A: Topic:- calculus

Q: 1.0⁰ 7 -2 dy 1+ y² 1 +x³ = π 2x + 3 da is an improper integral 1 - 1 (₂ ² ² ₁ + 2x + 1) dz dx + 1…

A: Given problem:- Which of following  is True? a)  ∫0∞dy1+y2=π b) ∫-2711+x3dx is an improper integral…

Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

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Q: 6. If a = 2, b = 2√√3,7 = 30°, solve for c and 3.

A: We know that cosine rule is c=a2+b2-2abcosγGiven data a=2, b=23 and γ=30c=22+(23)2-2*2*23*cos(30)…

Q: I. Find the solution set of the following. 1. 2e²x - 3e + 1 = 0 H

A: Given the equation 2e2x - 3ex + 1 = 0 Rewrite it as 2(ex)2 - 3(ex) + 1 = 0 Let ex = y then the…

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (-2,…

A: Topic:- function

Q: II. Given a piecewise function f(x) = 2. 2x² + 2x " X log₂ (x − 1), x<-2 −2 < x < 2, x‡0 x ≥ 2. 1.…

A: The given piecewise function, fx=2,x&lt;-22x2+2xx,-2&lt;x&lt;2, x≠0log2x-1,x≥2

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: 1. S xdx x²+6x+13

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Q: If z = tan X 2 then sin x =

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Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

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Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

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Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: Evaluate

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Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

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Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

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Q: Find (4x + 2x³) dx

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Q: D Question 20 Use Euler's Formula to express 5ie in a form of a + bi. O + 1 2 O 5√3 5 + 2 O 5√3 2 2…

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Q: Solve the following inequality: x + 2 > 10. x > 12 x 8 x < 12

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Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1