nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter the exact answers.   The terminal side of the angle 225°225° lies in quadrant              III .   Its reference angle is   °°.   sin(225°)=sin225°=         cos(225°)=cos225°=

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Q: -6 +][]+ 3 5 0 3 -2

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Q: Solve. 1. Find the equation of the family of curves whose slope at any point (x, y) is 3x. 2.…

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Q: Find the volume of the region enclosed by z = 1 - y² and z = y² - 1 for 0 < x < 42. V =

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Q: Use a double integral to find the volume of the solid region under the paraboloid z = x² + y² and…

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

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Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

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Q: Typewritten for an upvote. No upvote for handwritten. Please skip if you have already done this

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Q: b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica 1). ii).…

A: We have to find the volume.

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A: Explanation of the answer is as follows

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A: The objective of the question is determine the average velocity in the given intervals.

Q: i) n=1 1 1+2+3++n j) 1 n In n(ln(Inn)+1) k) 2" +n n!+1 n=1

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Q: 5.) I. b -3 -6 Simplify. Write "undefined" for expressions that are undefined. S + toom 6 0

A: Answer (5) We have to simplify

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Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below

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A: We need to sketch the function.

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Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger,…

A: The answer is given below:

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

A: Given

Q: Please

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Q: Use integration by parts to find the following integral. 1 4x+5 dx X b 4x + 5 + Su dv = f dx. What…

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Q: 1 2 In|2|

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Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

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: Find dy/dx by implicit differentiation. √xy = x³y + 54

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Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

A: Let's find slope of the tangent line by using limit definition.

Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

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Q: Find the equation of the tangent line to right branch of the hyperbola π π x = sect, y = tant, ≤t≤at…

A: Given :x=secty=tant

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A: We have to find which point is farther from line PQ.

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

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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: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

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

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Q: S dx -1 x-x² 2³√√x 1423 22 Option 1 Option 3 1425 22 Option 2 Option 4 1521 20 1523 20

A: Given: I=∫-8-1x-x22x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 5. I. Evaluate each determinant. -2 -1 4 2

A: Finding the value of determinant