Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the line x = 5t, y = 3 + t, z = 4 - t Need Help? Read It

Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

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Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Determine the value of c for which 70 13n lim (1+ T 00

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Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: What is the first derivative of the equation? 2. What is the second derivative of the equation? 3.…

A: Follow the procedure given below.

Q: 1. Let the matrices be 0 41 -1 2 2 6. [o 21 C = 2 4 li 3 -5 -31 A B =|-5 2 4 %3D 3] 5 41 1] D =|-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

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Q: The Maclaurin series for cos x is Eo (-1)"; What is the n%3D= (2n)! coefficient of the term forx*?…

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Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: Determine whether the result of the given integral is true or false I| dxdydz = 96. 0, -4 Select…

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Q: Find the radius and interval of convergence, R, of the series. E-1 n!

A: Answer is in below step.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: *xp: Evaluate the integral Jī+x

A: The given integral is: ∫x1+xdx

Q: Find the radius and interval of convergence, R, of the series. En-1 2n

A: For radius of convergence we have to findlimn→∞an+1an<1  in the form of x<RAnd radius of…

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: 10 15 -10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse Preview…

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Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: . Determine the Total Area bounded by f(x) = x´ – 1 on the interval [- 2,2].

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Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

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Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: dr Evaluate the integral / dx. sin x cos x

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Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Solve the boundary value problem y" – 10y' + 25 y = 0, y(0) = 3, y(2) = -2. %3D %3D

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Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

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Q: Given that yı 1 = = 3e is a solution of the differential equation y" + 3y = 0. Then, by using…

A: Follow next step