Convert the Cartesian equation xy = 1 to a polar equation. r² = sinθcosθ  r² = tanθ r² = secθcscθ

Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

Q: 2y +1 e'y 1+ y? dy dy = t*y dy 4. dt 2. 3. %3D dt dt t

A: See the answer below

Q: Find the integrel that represente the volume of the following solid , Emc losed by y -0,20 =X and 6x…

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Q: 2.If f(x) and g(x) are continuous functions, then f[f(æ) + g(x)] da = S (x) dx + f g(æ) da. %3D O A.…

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

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Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: Complete parts (a) through (d) 149 a. Graph the function f(x)= for x=0 to x= 10. 1+4e -2x b. Find…

A: We have to find graph

Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

A: This question is related to Coordinate systems, we will solve it using given information.

Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

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Q: dx V5+4x-x²

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Q: Convert the Cartesian equation x 2 + y 2 = 36 to a polar equation. r = 6

A: Topic = Circle

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+ 4 sin(t)j+ tk;…

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Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

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Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

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Q: 0 100 1 1 0 0 0 0 Consider the following adjacency matrix: A = 0 0 1 2 |. Which of 0 0 1 0 1 1 0 1 1…

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Q: | tan 3x sec 3xdx 3.

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP 4V Pt,…

A: Solution of question is written in below steps.

Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: Evaluate the integral :   ∫5cosxcot2sinxdx

Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

Q: f(x) = x-1(x² + 1)vx %3D

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Q: 3t Using standard Laplace transforms, find Laplace transform F(s) for cos (G)

A: f(t)=cos23t2using:cos 2x =2cos2x-1f(t)=1+cos23t22f(t)=12+cos 3t2F(s)=L12+Lcos3t2

Q: Given the area of the region enclosed by y = 4 – x' and y = -x+2, identify the BOTTOM function.

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Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a.…

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Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: Find real numbers a and b such that the equation is true. a + bi = 2+6i a = 3,6 = 2 a = 5,6 = 9 a =…

A: To find the values of a and b.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: We need to find partial derivatives.

Q: Use the graphing utility to plot the graph of y = tan on the interval [1, 50]. y = 2-8 y 2:45 2-1…

A: Let's find.

Q: S(e +0°)de

A: On solving we will get:-

Q: dx 4. S x²+4x+13

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Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

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Q: Determine the value of x that satisfy the following equation; sinh-1x = In(3 – x²) – In(x + v3).

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Q: x' +6x, |2x-4 , x<a Find all values of a such that the function, g(x)=- is continuous xz a…

A: The objective of the question is evaluate the value for which given function is continuous…

Q: Find PH)

A: inverse laplace transform of  1s2+s

Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: t2 1- y? dy 6. dt dy ap 2ty? + 3t²y², y(1) = –1 5. r(0) = -2 y(0) = -2 7. dt dt

A: To find the solution of the given initial value problems.

Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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