Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0≤ 0 < 2π, r> 0 Enter exact value. 0-

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: Sketch the region on the plane defined by the following integral. Then, switch the order of…

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: Find the vertical asymptote of the following function. X - 1 f(x) = 2x + 18 X =

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: 1-1 flood

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Q: Find the general and Singular Solution o the Following differential equation yLny = xyP+ P²

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Q: dx (x² - 1)²

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Q: √x + 1 / dx X (Hint: Let x + 1 = u².)

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Q: Use Taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when 0.5 ≤ x ≤…

A: We have to use Taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when…

Q: Given the triangle to 4 decimal places. x = 26/ 42° 28 x find the length of side x using the Law of…

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Q: 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of…

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Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  to find the rate…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: A-1 =1AadjA .

Q: 5.) Simplify. Write "undefined" for expressions that are undefined. -2 -3 THE -6 -3 M

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: Find the area bounded by the curve y = coshx and the x - axis from x = 0 to x = 1. a. 11.75 sq.…

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Q: hich point is on the line parametrized by the following? (-1, 2, 3) (3, 2, 0) (0, 0, 0) x = 3-t y =…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: reply as soon as posible.

A: To find out the conservative.

Q: Find each derivative. f(x) = ln sin x COS X y = cos(x² - 2x-8) g(x)=e-In(cos.x)

A: The answers are given below: Topic : Differentiation using chain rule

Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: 2 sin(x − 57) + 4 5 4 3 2 1 Sketch a graph of the function f(x) = -3/2 -5/4 -I -3/4 -π/2 -π/4 -1 -2…

A: The general form: a sin (bx – c) + d Where, |a|  = Amplitude 2π/|b| = Period c/b = Phase shift d =…

Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: To solve the system using the gaussian elimination method.

Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: What is the rectangular form of the parametric equations? z(t)=t-3, y(t) = 2t2-1, where t is on the…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

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Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

Q: With a curve 56 3 17 x² + y = 6, y = x, y = -2 and x = -2. . Determine its area.

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Q: Evaluate the integral. 37 (x - 1)(x² + +36) dx

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Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

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Q: Find the general Solution of the complement of the following differential equation y"- 3y"+9y'+ 13…

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Q: The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change…

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Q: convert the Following differential equation into a perfect equation and then Find its general…

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Q: Find the local maximum and minimum values of the function f(x) = -x - 25 using the Second Derivative…

A: Given problem:- Find the local maximum and minimum values of the function f(x) = -x- 25/x using the…

Q: 2. -4 1 3 -3

A: to evaluate: -431-3

Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

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Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: USING CYLINDRICAL METHOD Find the volume of the solid obtained by rotating about the y-axis the…

A: Given that, Solid obtained by rotating about the y-axis the region bounded by y=2x2 - x3 and y = 0

Q: Find the general Solution of the complement of the following differential equation y" - yy) +y =oy=0

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Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

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Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Given

Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

A: