1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(−2, 4, −1). Since a vector equation of a line can be written in many ways, it is useful to be able to tell if different forms are actually equivalent.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4 tan 2x,…

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Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

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Q: To produce x units of a religious medal costs C(x)=15x + 112. The revenue is R(x)=31x. Both cost and…

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Q: 3. Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: [5] The graphs of f(x) (in red) and f'(x) (in blue) are shown. Determine.... 1. [4.1, 4.2, and 4.3]…

A: Let's solve.

Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: X г ht хе зихн X

A: The given integral is ∫3x2+4x3+4x+1dx

Q: 1. 6 2x² =dx 1 + x

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Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: True or False: We have Select one: True O False 2 x² dx > 2 x³ dx 3

A: We know that ∫abxn dx = xn+1n+1ab = bn+1n+1-an+1n+1  where n≠-1.

Q: A wooden column has the form of a regular hexagon prism. Its base edge is 1 ft. and its height is…

A: Concept: Hexagonal prism: A prism with a hexagonal base and top is known as a hexagonal prism. There…

Q: Choose the angle (in radian) between the following two vectors u = and v = O 2.059 00 - O None of…

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Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j O a cannot be determined O a is…

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Q: e. f. dx x log10 x [x²: x² sin x dx

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Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: Evaluate the following function at the specified values of the independent variable andsimplify the…

A: We will put all the values in f(x)

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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Q: oast The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is…

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Q: What is the difference between quadratic and logarithm functions? a. The effect of x on y never…

A: Concept: Polynomial function: A polynomial function with one or more variables, where the largest…

Q: 2. √ √x (5 - 2x + x²) dx

A: As you mentioned question no. 2 solved

Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

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Q: Given : 6 (x, y, z) Compute the gradient = 3 6y³ z³ - 5 ex at PA (2,2,1-5) of G (x, y, z)

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Q: Question 3 Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

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Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: M8 K=1 K² +1

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: write this on paper please show step by step work

A: The given series,      ∑n=1∞13n-7

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: (15) Use the divergence theorem to evaluate SSF. ds, where S 3 F(x, y, z) = and 5 is the surface of…

A: To evaluate the given integral using divergence theorem.

Q: Use the equations to find дz ax дz = || = дz ах əz ах = and ƏF ?х ƏF дz дz ду e² = 2xyz and əz ду…

A: The solution is given below

Q: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

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Q: Median √3 St= = = How? $0.9062 0.9062 Cos (1-√3x) dx = 1/2 -0-1 a=0.5968

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Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

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Q: A population of female mosquitoes has been divided into three age groups: 0-9 day olds 10-19 day…

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Q: Evaluate 4 1 2 (Nat 13.402 - -13.402 13.042 • Vx + 3 3 X 4 | -13.420 +18 -1.3204 4 X None of them 4…

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Q: Suppose you needed $25,000 to maintain a particular standard of living in 1979. How much would you…

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