6) Match each equation (I)-(IV) with its polar graph from choices A-D (1) r=-3cose Answer: A (11) r=2+ 2sine Answer: B (III) r=5cos20 Answer: C (IV) r2=4sin20 Answer: D 4 年 0

Q: Example/find the taylor series for f(x)=cos x at x=2π.

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Q: For the function, state whether it is continuous or discontinuous. f(x) = ( 5 - x if x 2 2x - 1 if x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Given that 1 1+7x9 n=0 iM 8 1 - x The radius of convergence is = n=0 n x" with convergence in (-1,…

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Q: Do only question 6

A: Evaluate fx​(3,1)Evaluate fy​(3,1)Find the derivative of f(x,y) with respect to x, treating y as a…

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A: Given function : f(W) = 0.786W + 20.85 dollars  (a)  Let's find f(2000)  Substituting W = 2000 in…

Q: K Find the indicated derivative and simplify. log 7X y' for y= 8 + x

A: y=8+x7log7​(x)​Getting the derivative, we have:y′=dxd​(8+x7log7​(x)​)In here, we need to apply…

Q: Consider F(x, y, z) = x²zi+5yzj- zk. Calculate V.FdV for the cylinder x² + y² = 4, 0 ≤ z < 5.

A: Step 1: Given: F=x2zi^+5yzj^​−zk^▽.F=(i^∂x∂​+j^​∂y∂​+k^∂z∂​).(x2zi^+5yzj^​−zk^)=(2xz+5z−1)Step…

Q: 7 6 5- 4 3 2 + -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 Find the slope of the line. 2 Slope…

A: From the given graph, we can see that, points (2, 0) and (0, -5) lies on the line Also, we know…

Q: use vectors

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Q: An advertising agency has found that when it promotes a new product in a city the weekly rate of…

A: The given equation is R = 1800 - 60x.

Q: R2 2 xy² x² + 1 dA, R = [0,2] x [-4,4] R= Find R

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Step 1: Step 2: Step 3: Step 4:

Q: SunDose cac à mortar is fired from ground level at an angle of 45° with an initials need of 200…

A: Step 1: Step 2: Step 3:don't forget to upvote :) thank you and comment if doubt exists Step 4:

Q: Sketch the Curve and find the entire area bounded by it. 1. r = 2cos 30 2. r= 4+ 2 sin O

A: Step 1: Step 2: Step 3: Step 4:

Q: If money is invested at 10% interest, compounded quarterly, the future value of the investment…

A: The objective of the question is to find the future value of an investment of $600 at 10% interest,…

Q: Please solve the following calc 3 problem. Follow all instructions and show all work by hand (don't…

A: The objective of this problem is to find the volume of the region bounded by the paraboloid z = x² +…

Q: Find the area and sketch the curve 1. Inside r√2 cose and outside r=2(1-cos ) 2. Inside the curves r…

A: Step 1: Step 2: Step 3: Step 4:

Q: QUESTION 7 (4 points) Evaluate the integral using the given substitution. fx4x5-75 dx, u-x5.7…

A: ∫x4(x5−7)5dx=301​(x5−7)6+COption third is correct.

Q: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum…

A: Step 1: Step 2: Step 3: Step 4:

Q: Can you write the product as a sum or difference of 8sin(33b)cos(24b) ?

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

A: Ans. ) Given the question is to find maximum revenue, maximum profits... Revenue (R) is defined as…

Q: 9) Solve the equation 2cos2x + sinx 1 = 0 on the interval [0, 2π). 101 The death oDANGILEMAGLINER

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Q: xy³dx+xdy, where C is the rectangle with vertices (0,0), Evaluate $ (5,0), (5,4), and (0,4)…

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Q: Given g(x) = 2x² +3. Express S(n) = 1-1 (A) · Evaluate lim S(n) = 11-78 n n as a rational function…

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Q: Answer all questions

A: Note: Percentage is defined as the portion of an element for a given whole quantity. This is a…

Q: Find the derivative. 이승 √x 12º d 1 ○ A. 12 9/2 12 12x9/2 B. 8x 9/2 ○ C. 6x4 O D. 12x5 - 25

A:

Q: 2) Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire.…

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Q: Find the slope of r = 5 sin(0) at 0 Question Help: Video kim 3

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) =…

A: Step 1:To find the absolute maximum and minimum values of a function on a given interval, follow…

Q: Suppose In (x+2y) = x². Use implicit differentiation to find the derivative of y with respect to x.…

A:

Q: pt Consider the series M8 n=1 arctan(n) n4 (a) For all 721, 0 1 B. The series converges by the…

A: Step 1:  The Given series in the problem is, ∑n=1∞​n4arctan(n)​  Step 2: for part (1)…

Q: Do only question 4

A: Questio(4)Part(a)Find limt→∞​r(t):Given r(t)=⟨2sin(t),3cos(t),t2⟩, as t→∞,sin(t) and cos(t)…

Q: 5) (a) Write x²+(y-2)² = 9 an equivalent equation using polar coordinates. (b) Writer = 4 csc an…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the value of $20,000 at the end of one year if it is invested in an account that has an…

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Q: Approximate the value of the series to within an error of at most 10−4. ∞ n=1 -1)n+1 n5 Apply the…

A: To approximate the value of the series  ∑n=1∞​(−1)n+1n51​ within an error of at most  10−4, we can…

Q: Given F(x) = = 2 −3x1²x²² √4x2 x14x2 x33 x14x2 x32 ' calculate the matrix JF (E)) 4 3

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the following indefinite integral. Check your work by differentiation. S(+2 5+2 sec ec2r)…

A: Given indefinite integral is ∫(5r4+2sec2r)dr  Simplifying, we get =∫5r4 dr+∫2sec2r dr =5∫r4…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS PLS

A: Note #1:The function is concave down at those intervals where:f′′(x)&lt;0The function is concave up…

Q: Evaluate x² + y² z dS where S is the part of the cone z² between the planes z = 2 and z = 5. x² + y²…

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Q: Can you explain step by step

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Q: Please help with all parts

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 3) (a) Eliminate the parameter of the parametric equation x = 4 sin and y =1+ 2 cos (b) Write…

A: Step 1:Step 2: Step 3: Step 4:

Q: The half-life of Beryllium-11 is 13.81 seconds. If a sample contains 360 mg, how many mg will remain…

A: Step 1:Step 2:

Q: 2. M is bounded by the three coordinate planes as well as the surfaces + y = 1 and z = r² + y².…

A: To solve this problem, we need to first sketch the region M and identify the limits of integration…

Q: True or False: [2 Marks] 29. The derivatives helps us determine the rate of change. 30. We set the…

A: True or False Explanation:29. True. It is true because the rate of change of a function or simply…

Q: Consider F (r, 6, 2) = 0³ē, + 4rē + 3r² ze, and 3126 222 State the expression for the gradient of in…

A: In cylindrical polar coordinates, the gradient of a scalar function ψ(r, φ, z) is given by:∇ψ =…

Q: Evaluate fff 6xy dV, the tetrahedron bounded by x = 0, y = 0 and z = 0 and 2x+y+z=4

A: The objective of this question is to evaluate the triple integral of a function over a given volume.…

Q: 2. State the type of discontinuity for each graph below. a) 34 4 b) 2 X -6 -4 2 0 2 2 2 416 4 -2 0 3…

A: Jump Discontinuity: A function f(x) is said to have a jump discontinuity at a point c if the…