J x2 9-2 dx

Q: 3. Verify Clairaut's Theorem on by showing fry=fyx. f(x, y) = 4 x² + y² + 2

A:

Q: [x²-2 if x≤2] -3x+1 if x>2 Graph the function, f(x)=- x y

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Q: 8 x²+2 2 √x dx

A:

Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: 2. Let L be the line passing through points (-2,-5) and (3,4). Find the general equation of the line…

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Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: We can solve the given differential equation .

Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

A: We have to find domain and range of a function from it's given graph.

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

A:

Q: EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION…

A: Find equation of tangent line

Q: iv. f/6(sec²(x)) dx

A: Integration

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Q: 50. y” – 4y = sinh 2x variation of parameters

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Q: 히증

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Q: 7. State the domain and range of each function. A) ƒ(x)=(x−1)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

A: y(x2+y2)dx+x(3x2-5y2)dy=0x(3x2-5y2)dy=-y(x2+y2)dxdydx=-y(x2+y2)x(3x2-5y2) Substituting  y=vxy'=v'x+v…

Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: Solve the integrals: (1) (c I₁ = 1 |x| x² + x| dx

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Q: Construct the truth tables for the given compound statements. 1. ~p ^ ~q р T T F F q T F T F ~P ~q…

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Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

A:

Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

A:

Q: A rectangular piece of land has dimensions 500 ft by 150 ft. Find the amount of fencing needed to…

A: Given query is to find the perimeter of the land.

Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: Area: In the following items, find the area bounded by the curve or lines. Sketch its graph. b. x =…

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Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y =…

A:

Q: Thank you! I am a bit lost because the equations are a bit messy with the computer. Would it be 3e^x…

A: GIven function :- y=3ex+8x3

Q: Use the IVT (intermediate value theorem) to show that the given polynomial f(v)= 2v2 + 3 - 3v has a…

A: Here we have to use the intermediate value theorem.

Q: 3)Find a function whose graph is a parabola with vertex (3, 1) and that passes through the point…

A:

Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)

Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: What is the average velocity of the curve y= square root of ( x2-2x) over the interval of [ 2,7]

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Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…

Q: Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

A:

Q: Match the equation with its graph. x² - y² + z² = 1 XX ZA N XK N

A:

Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

A:

Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A:

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Precalculus   Find an equation of the circle with center (2, 5) that passes through (−3, 1).

A: Given query is to find the equation of the circle.

Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: Derive a Differential Equation that is free from arbitrary constants: y = C₁x + C₂e-*

A: Here is the solution:

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations