Convert the point from spherical coordinates to rectangular coordinates. (2플) (х, у, 2) -

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: -2ry f (r, y) = e

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Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: Q1/0fin t the Tulorssevies at- for F(): Sinメ Iat ○ F(対 ak y=1 f(x) =

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: 4- Find lim,: ( -) 10 20 (You cannot use numerical table method). tan(2)-1 tan?(2)–1)

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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: 1 Find Vf if f = 2 /x²+y² +z?

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Q: Find the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y -…

A: We have to find the point at which the line intersects the given plane.

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: 4. 7 [fx)dx = - 7, r(x)dx = -7, and = 7. Use these to complete parts (a) through (f). The functions…

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Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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Q: 3. Find a power series representation for the function. (Give your power series representation…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: {(1-9*"} bn a,b e R n

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Q: Scsc" 2 ede 4 CSC

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Q: Find the average value gave of the function g on the given interval. g(x) = 3x, [8, 64] gave =…

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Q: 6x + 10 if a -2 4. first third second

A: Explanation of the answer is as follows

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

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Q: Find all critical points of the function f(x) = x³ – x² – 54x + 10. (Use symbolic notation and…

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Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

A: We have to find the equation of the curve ,tangent equation to the curve.   Note - As per our…

Q: 13. Explain in your own words what a limit is. Use several diagrams and be sure to consider lim…

A: This is a problem of limit. Based on the general formula we will answer the question.

Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

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Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

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Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

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Q: Use Green's Theorem to evaluate the line integral (y – x)dx + (2x - y)dy for the given path. C: x =…

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Q: ||r(t) x r"(t)|| ||r'(t)|³ Use the formula k(t) to find k(t). 13 r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk…

A: A detailed solution is given below

Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

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Q: Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y 14 A 234 I…

A: Use the washer method for finding the volume of rotation.

Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

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Q: Find all the values of x such that the given series would converge. 10)" 10" T-1 The series is…

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Q: t $14.15, the demand (customers) for UB-shirts is 400. When the price increases to $15.25 the demand…

A: Given query is to find the demand at given point.

Q: x Algebra In Exercises 19 and 20, for what values of x and y are the triangles congruent by HL? 20.…

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Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

Q: 9- If a person with O'Micron virus coughs, It will spread the virus in a spherical form, determine…

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Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

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

A: r(t)=cos(πt)i-ln(t)j+t-12kDomaincos function takes all values  ie  -∞,∞logarithmic function takes…

Q: The series (-1)"+1 is: n³/2 n=1

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Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: Consider the region bounded by x = 3y and x = y^2. A solid is formed by rotating the region about…

A: We have to set up the integral to find the volume.

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

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