R: x² + 3y = 4 and x – 2y = 4.

Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

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Q: Make the u-substitution 2 sin x = 2u 1+u²' COS X 1- u² 1+ u² and dx = du 1+u² to convert the…

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Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

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Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem (IVP…

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Q: f(x)=3x2+2x+6 f'(x)=f′(x)=    f'(2)=f′(2)=

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Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the…

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Q: 3) 3x² + 3x³ - 5x² + x - 1 x²+x-2 dx

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Q: Find the area between the curve y = x = 0 and x = 5. x(x 3) and the ordinates - LA B 3

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Q: Find the slope and y-intercept of the graph of the equation. y = 5x-1 (Enter a fully reduced…

A: Find the slope and y intercept

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

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Q: Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the…

A: Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the…

Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

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Q: du + 2) du dx du dy -

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Q: What is the correct piecewise parametrization of a path C created by starting from C₁ of equation y…

A: Concept: We have given the curves  y=x+3x=0 to x=4y=x2 Here the red line represents y=x+3 The green…

Q: cos θ =cosθ/csc θ, where θº ≤ θ < 360º, is shown below step one) cosθ=cosθ(1/cosθ) step two)…

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Q: 5. Use the Squeeze Theorem to evaluate lim sinz 42 1-0 6. Find lim f(x) if, for all z > 1, 140 10c²…

A: First i have written the squeeze theorem and find the limiting value of problem (5) and (6) and then…

Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Verify that the indicated function y g(x) is an explicit solution of the given first-order…

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Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1

A: Here we have to evaluate the limx→0x2ln(secx)

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: Q2. Let u = (2,-1,1) and v = (3,1,0). Find the following: 1) |2u - v| 2) u ov 3) The angle between u…

A: Given

Q: Describe the​ statement, "A vector orthogonal to u and v​," using dot product and cross product…

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Q: fferential Eugh by finding tor. (6n +only)dy=0)

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Q: We want to build a half-sphere-shaped fish tank. The top is made of slate and costs $8 per square…

A: Above question is solved.

Q: 5- For the y= 3x V4-x², determine the absolute max and min values within its domain.

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Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

A: Given Graph:-

Q: C- for the function below, the domain and the range is respectively y = y=√16-x²

A: Given :y=16-x2

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular, with three…

A: solution:-let l be the length and w be the width of the one sided rectangular cubicalgiven total…

Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

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Q: for the function below, the domain and the range is respectively y = x²/5

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Q: 1 4. f(x)=- (5x²+4) 5.f(x)=√√3x² +6x+2

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Q: 1-sin x F(x) = S₂₁² 5tdt

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: If f(x)=5x+5/5x+3 find: f'(x)f′(x) =    f'(5)f′(5) =

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Q: The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s.…

A: topic- average of function over interval

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

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Q: Note: Answer All the Questions 01- Fill in the blank for the following statements 1- The cylindrical…

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Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…

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Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

A: We want to find partial derivative of the given function.

Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: The result of the following sin 1² t limit is lim 1-0

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Q: Evaluate the integral. f₁²x²e²dx хе 1

A: The given integral is ∫12x2ex dx. We first  solve the integral ∫x2ex dx using integration by parts…

Q: y = ln (sec (ln 0))

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Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

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Q: 4 for the function below, the domain and the range is respectively -2+√1-x

A: You must have idea about how to find domain and range of any function. Domain of a function means…

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation