A circle is increasing in size over time. Its radius is decreasing at the rate of 0.04 cm/sec. At what rate is the circle's area decreasing when the radius is 40 cm? Round your answer to at least 4 decimal places.

Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

A: from given table t0=0, t1=1, t2=2 and t3=3v(t0)=30, v( t1)=50, v(t2)=40 and v(t3)=60Distance travele...

Q: A baseball is batted straight upward. Neglecting air resistance, the velocity v (in feet per second)...

A:

Q: Perform the integration:[-cos 6x0dx tanx-x+C 1+cos 6x A. c. tan3x-x+C B. --tanx-x+C D. tan3x-x+C

A:

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE: En...

A:

Q: Solve the following differential equations of Linear Differential dy Equation y– 2x . dx =x(x+1)y

A:

Q: Evaluate the integral /16 – æ² dæ and simplify

A:

Q: A circle's radius is increasing at 0.5 feet/minute. How rapidly is its area increasing when the radi...

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, ...

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.   x2 + ...

Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years. B. The pop...

A: B - given is the population is 900 in the beginning and decreases by 12% each year for 5 years.

Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

A:

Q: Find an equation of the tangent plane to the surface at the gi g(x, y) arctan (3, 0, 0) %3D

A:

Q: Solve the following differential equations of -cos(y)·y'+sin(y)=x Linear Differential Equation

A: Let's find. 

Q: 1 1 Arc sin- xdx 2 0,

A: ∫01arcsinx2dx

Q: PROVE: 1+ sin a 1- sin a CSc a + 1 CSc a

A:

Q: EXERCISE 1.4 Solve the lim [log(x)] by completing its table of values. Solve the x-10 one-sided limi...

A:

Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

A: Note:- As you write only set up the integral to find the volume by method of cylindrical shell and d...

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A:

Q: Determination of Integrating Factors : Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 2x2 - xy...

A: We have to find the Integral factor and solve the equation. 

Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

A:

Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

A:

Q: 3 x³(16 + x²)Zdx Let x = 4 tan 0

A: This question is based on solution of indefinite integral by substitution method.

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

A:

Q: problem

A:

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph illust...

A:

Q: 3n 2n n S " S"(sin x + cos y)e? dx dy dz 2n 'n A. 2n(e2n + e3™) в. 2п(е2т — езт) c. 2n(e3™ + e2") D....

A: Given: I=∫2π3π∫π2π∫0πsinx+cosyezdxdydz   We know that; ∫sinxdx=-cosx+C∫cosxdx=sinx+C∫exdx=ex+C And ∫...

Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an ...

Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

A:

Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,...

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=25-x2 and y=3...

A:

Q: y V3 x dx 8y-y2

A:

Q: S 3x° /1 – 2r3 x3 – 3x 1. Let f(x) = if a 0

A: solution:-f(x)=3x51-2x3   if x≤0     x3-3x              if x>0∫-11f(x)dx=∫-10f(x)dx+∫01f(x)dxnow,...

Q: Q if asinx Prove that a + bcos X y' = (a+ bcosx)? a cos+ b

A: Differentiate wrt x In problem, proof equation is wrong I have solved properly

Q: Given f(x) 3r In (2s). Find fr (4, 3). Give = -4x + 5 and x = your answer correct to two decimal pla...

A: Given :f(x)=-4x+5x=3rln(2s)

Q: -3m c2n n S " S" (sin x + cos y)e? dx dy dz A. 2n(e2" + e3") B. 2n(e2". c. 2n(e3 + e2") D. 2n(e – e2...

A:

Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

A:   Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120 

Q: ds V9-s 9-52 + C 95 9s + C A. C. B. D. + C 95 69/

A: Given: I=∫dss29-s2   ...1   We know that, the trigonometric identities. 1). 1sinx=cscx 2). sin2x+cos...

Q: Find the fifth partial sum, S5 = C-1 4()"* n-1 Write as a fraction reduced to lowest n=1 terms in th...

A:

Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition. 

Q: 120 150 30 360 11 240 300

A:

Q: Consider a, B, t/= 0. A possible graphical representation for the plane of equation Bx + ay +t = 0 s...

A:

Q: Compute ∆y and dy for y = x^2 − 4x when changes from x = 3 to x = 3.5.

A: Topic:- application of derivatives

Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

A: We have to find solution of given integration of trigonometric term having even power on sine and co...

Q: Solve for the Linear Differential Equation: y' + y = 1

A:

Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. 6. r = cos (0) – sin (0) (Expr...

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Mini...

A: This is a problem of maxima and minima. Based on the general formula we will find out the value.

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of pol...

A: