The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the radius is 2 cm? b. How fast is the radius changing when the circumference is 4 cm?

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

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Q: For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5…

A: Given query is to find the Indicated derivative.

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Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: I need to find the rieman sum not the area

A: Left Riemann sum is same as the area of the rectangles with the left endpoints on the curve.  From…

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: M. Vx? N. xe* O. 4 Р. cot x Q. cot?x R. 2 cot x

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Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Which Theorem states: If f is continuous function on the open interval (a, b) then f attains an…

A: Since the extreme value theorem states that- If f is a continuous function on [a,b] , then f has…

Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

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A: We have to find the critical and extremum points of the function.

Q: а. 1 b. 5 с. -1 d. 2 2. S(x) = 3x² %3D а. 3 b. 2 с. 6 d. 12

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Q: ................ Absorption of Drugs The concentration of a drug in an organ at any time t (in…

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

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx &amp; y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: dx J (x² + 2x – 10)²

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Q: If line t is parallel to the line 5x-6y+10=0, What is the slope of line t? O a. 5 Оb. 5/6 О с. 6/5 O…

A: Slope of parallel lines are same

Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

A:

Q: 1.) Evaluate: S(2+ y²)²dy 2.) Evaluate: S 1+sinx xp-

A: To evaluate the indefinite integrals:

Q: し+1 n=1

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A: The domain of a vector function is the intersection of domain of its components.

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Q: *) = (" ; ') - Show that :

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Q: i an arithmetic series is 38. irst 40 terms of the series is 1250. the common difference of this…

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Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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