1. Find the following limits or explain why they do not exist: x² - 2x - 3 x+3x2 – 5x +ổ x² - 2x 2 3 r+2x2 – 5x +6 (a) lim (b) lim

Q: b. z = x² + 3wxy + w², with x = 2t + 1, y = e, and w = 3-t².

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Q: Find the value of c such that . Give your answer in exact form satisfies the heat flow equation C=…

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Q: te a function based on the given parent function and transformations in the give 1 ent function: y=…

A: Given query is to applied indicated transformation.

Q: Estimate the new value of y=sinx² if x changed from x=0 to x=0.01? O 0.1 0.0001 O 0.001 O 0.01

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Q: Use the Wronskian to determine the linear dependence or independence of the following vector…

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Q: A cylindrical balloon is being inflated at the rate of 157 cubic feet per minute and such that the…

A: Rate

Q: Determine the degree three Taylor polyno- mial centered at x = 1 for f when f(x) = e³-4x 1. T3 =e¯¹…

A: f(x)=e3-4xdexdx=exformula for taulor series is at…

Q: Solve the following DE: y'=y-xy³e-2x Oe² = y(x²+C) O e²x=y²(x²+ C) Oe-2x = y²(x+C) Oe-²x = y²(x²+ C)

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Q: For u = 6 . y4 . 25, ca ენკ მთმy2მ23 calculate ენკ მმ3/2d/3

A: Given u = x6.y4.z5

Q: Se fe-4² (e²-1) ²dx 4x е

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Q: Find the first partial derivatives of the following: ∙i. f(x, y) = tan(3x − y) + - ii. g(x, y) = xy…

A: To find the first partial derivatives  of the following:i fx, y=tan3x-y+xyii gx, y=xyiii fx, y,…

Q: u

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Q: f sin¹xcos² xdx

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been…

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Q: 5. Find the general solution of y' = y secx a. y=c(secx + tanx) b. y=c(secx-tanx) c. y=csecx tanx d.…

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Q: 6. Find the differential equation whose general solution is y=C₁X + Czex, b. a. (x-1) y"-xy' +y=0…

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Q: Can you clairy what answer goes where

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Q: 4. xy' = y(lnx-lny), y(1) = 4

A: To solve the given differential equation

Q: 4 Label the vertices, foci, and asymptotes on the graphs given for the hyperbola. x² y² 42 b. -=1 3²…

A: Foci of hyperbola are the two points on the axis of hyperbola and are equidistant from the center of…

Q: xy [zy- a. In(xy)=2(x - y) +c b. In(xy)=x-2y+c c. In(xy) = 2y-x+c d. In(xy)=x+2y+c

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Q: For the parametric equations: x = 23et and y (write the number answer only in the box) (i) ii) (iii)…

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Q: Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly…

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Q: Find BA (Use Work) A = 1 2 0 4 −1 1 1 0 1 B =  1 2 −4 4 1 0 0 −2 1

A: Given:Two matrices are given byA=1204-11101B=12-44100-21To Find: To find BA.

Q: 5) Find, using Cylindrical Coordinates, the volume of the solid that is enclosed by the cone and the…

A: Cylindrical coordinate

Q: lim, 0 sinx − x 3

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Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: Volume of a cylinder is given by V=πr2h, where r is the radius and h is the height of the cylinder.…

Q: 5) √*²= x² +12 .dx x³-8x² +12x Partial fractions decomposition

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Q: Use the left-endpoint approximation to approximate the area under the curve of f(x) = x² on [0, 2]…

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Q: Evaluate + Y SSex R da, where R is given by x + x ≤ 1

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Q: 1. (e²x + 4) dy = y dx

A: The given differential equation, 1. e2x+4dy=y dx We have to find the general solution of the…

Q: Determine the 5y'' - (y')4 = y3sinx dependent variable independent variable type pde/ode order…

A: Determine

Q: 2. yy'-6y = x² + 3x; y(0) = 1, y'(0) = 1

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Q: lim tan−¹(x² − 4xy + y²) (x,y)→(1,0) 4

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Q: ndefinite integral. √(√x - 5) ² x² In your answer, enter exponents as fractions and not decimal…

A: Given query is to find the value of the integral.

Q: 1 (3y')² = (4x²y³ + y) y"

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Q: 8√x dx 5. √ √x

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Q: dN dt = 5 - N, N (2) = 2

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Q: 6.25x² +9y2: = 225

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Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A: slope is dydxdsinxdx=cosxdcosxdx=-sinxdydx=dydtdxdt

Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: 8√x √x dx

A: We need to solve∫8xxdx

Q: cos u = 5 13

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Q: -24 t Y 24 ln(8t) — 31 = Given x = (i) (ii) dx dt dy dt = = + 147 and (iii) dy dx the simplified…

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Q: Use polar coordinates to evaluate fe R circles x² + y² = 1 and x² + y² = 4. dA where R is the region…

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Q: lim (x,y)→(0,0) COS [y ln(x+1) exy+2

A: The solution is given below

Q: A ladder is leaning against a vertical wall. Due to the smooth ground, the foot of the ladder is…

A: if x is the horizontal distance of the foot of the ladder from the wall and y is the vertical…

Q: S sec² x - dx tan² x+4

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Q: Evaluate the definite integral: Check S 1 x√Inx dx =

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: 1 n Prove that 1+ 2+ -3+ + 2-1 (Hint: Differentiate both sides of the equation equation.) +4. 1 1-z…

A: The solution is given below