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Q: Let u = <1, 2, 1> , v = <1, -1, -1> , w = <1, 1, -1> , and z = <2, -3, -4> ....

A: Given vectors

Q: y′ = e2x + y − 1

A: Given,

Q: What happens if you add a finite number of terms to a convergent series? A divergent series? What ha...

A: As there are multiple parts to the question, we will address the par related to divergent series fir...

Q: 71. The square roots, cube roots, and fourth roots of + are shown in the figure from left to right, ...

A: To determine the nth root of 1 using the pattern.

Q: find a parametrization for the curve. 1. the line segment with endpoints (-1, -3) and (4, 1)

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Q: f(x) =16 − x2, g(x) = x + 2 Find (f + g)(x)

A: Given functions are

Q: Solve the initial value problem tdy/dt + 2y = t3 , t> 0, y(2) = 1

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Q: Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2), ...

A: Given, polynomial f(x) is of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2)...

Q: Find the vertex, focus, and directrix of the parabola x2 - 6x - 12y + 9 = 0.

A: Write the given parabola in standard form by completing square

Q: what is the left and right endpoint Riemann sum for f(x)= (x^2)/11 on the interval [2,6]?

A: Given:

Q: Under what conditions can you find the area of the surface gener-ated by revolving a curve x = ƒ(t),...

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Q: #7

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Q: describe the given set with a single equation or with a pair of equations. The plane through the poi...

A: Describe the given set with a single equation or with a pair of equations. The plane through the poi...

Q: Besides geometric series, what other convergent and divergent series do you know?

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Q: 7.5 10.5 10.5 Let fou = 7, S,0" f(x)dx f(x)dx = 1, S f(x)dx 10. 9. Find , f(x)dx 7.5 and S(1f(x) – 7...

A: Given values of integral are

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B At which x does the function reach its local m...

A: According to the given information it is required to calculate at which x does the function reach it...

Q: Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1...

A: Find the sequence increasing, or decreasing or not monotonic.

Q: In the function: f(x)= 6/((x^2)-16) Where is the function concave up and down in interval notation...

A: Given,

Q: The region in the first quadrant that is enclosed by the x-axis and the curve y = 3xsqrt(1 - x) is r...

A: Given:

Q: What values of p have the following property: The area of the region between the curve y = x^-p, 1&l...

A: Given information:

Q: Show that the line b2xx1 + a2yy1 - a2b2 = 0 is tangent to the ellipse b2x2 + a2y2 - a2b2 = 0 at the ...

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Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and ...

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate...

Q: A brief calculation shows that if 0<=x<= 1, then the second de-rivative of ƒ(x) = sqrt(1 + x4)...

A: The Given information is,

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av +bw.

A: Given u = 2i + j, v = i + j, and w = i - j.Plug them in the equation u = av +bw.

Q: For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no...

A: The Taylor series for sin(x) can be written as:

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x)=(x^2)/(12) f(x...

A: Given:

Q: The ellipse (x2/9) + (y2/25) = 1 is shifted 3 units to the left and 2 units down to generate the ell...

A: Given,

Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)

A: Given vectors

Q: What is a hyperbola? What are the Cartesian equations for hy-perbolas centered at the origin with fo...

A: Problem 1:Recall the following fact.

Q: What are the basic facts about a. sums, differences, and products of power series? b. substitution o...

A: (a) The basic facts about sums, differences, and products of power series.

Q: Determine whether the following statements are true or false: 1. ln(x')=[ln x]' 2. any continuous ...

A: The given statement is,

Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at th...

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

Q: Find all real zeros of the function. g(x)=5(x2-36)(x-7)(x+7)2

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Q: How do you find the length of a smooth parametrized curve x = ƒ(t), y = g(t), a<= t<=b? What d...

A: Given data:

Q: Find a formula for the distance from the point P(x, y, z) to the a. x-axis. b. y-axis c. z-axi...

A: The formula for distance between two points (x, y, z) and (a, b, c) is

Q: What substitutions are made to evaluate integrals of sin mx sin nx, sin mx cos nx, and cos mx cos nx...

A: Given:What substitutions are made to evaluate integrals of sin mx sin nx, sin mx cos nx, and cos mx ...

Q: Find the angle at which the cardioid r = a(1 - cos u) crosses the ray u = pai/2.

A: Given:

Q: a. Find an equation in polar coordinates for the curve x = e2t cos t, y = e2t sin t; -infinity<t ...

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Q: The line segment joining the origin to the point (h, r) is revolved about the x-axis to generate a c...

A: Surface area formula of revolution about x axis is given by:

Q: In Exercises 1–8, find the eccentricity of the ellipse. Then find and graph the ellipse’s foci and d...

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Q: I need to compute each limit. I have attached the problem as a photo.

A: Given:

Q: solve the differential equation. 1.e-x dy + (e-xy - 4x) dx = 0 2. (x + 3y2) dy + y dx = 0 (Hint: d(x...

A: Consider the provided differential equation,

Q: Determine whether the following limits are finite, ∞, or −∞. If the limit does not exist for any oth...

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Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

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Q: Find the lengths of the curves in Exercises 13–14. 13. y = x^1/2 - (1/3)x^3/2, 1<=x<= 4 14. x ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the funct...

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