A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 11 in. /min, how fast is the thickness of the ice decreasing when it is 4 in. thick? How fast is the outer surface area of ice decreasing?

Q: 0.6 C(x) = x2 ' where x is the distance away from the plant in miles. The instantaneous rate of chan...

A: To find out the instantaneous rate of change of the sulfur dioxide concentration.

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

A:

Q: Find the derivative of the function. g(t) = (e* + 1)3 g'(t) = Need Help? Read It Watch It

A:

Q: h(a) = 6.44a + 81.8. The same study found that their weight W (in g) as a function of their height i...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

A:

Q: The given function s(t) = 5t³ – 3t2 + 10t – 25 - represent the position of a particle traveling alon...

A:

Q: For the following problem determine a region of the xy-plane for which the differential equation wou...

A: We have to show given differential equation has unique solution

Q: If F(x) x2 - 1 find the following. (a) (b) F(20) (c) F(0.002) (d) Is F(0) defined? Yes ONo

A:

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

A:

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 9. 13 17 | 21 2...

A:

Q: Find the following values for f(x) = sin =). (Be sure your computing device is set to RADIAN mode) 0...

A:

Q: Differentiate the following implicit equation for y(x) with respect to r: 3x – a°y+ 4y³ = 6

A: Finding dy/dx

Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: equation

A:

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A:

Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

A:

Q: 5x 14 dx To evaluate the integral which of the following formulas can be used? V4+8x5 udu (bu (bu – ...

A: Let u=x5 then du=5x4 dx and a=4 and b=8 And third option is used for solving given integral. 

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

A:

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: what is 2x3

A:

Q: dx 2. Evaluate f 7+x2

A: To evaluate: 2) I=∫dx7+x2...(1)  

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A:

Q: By using first fundamental theorem of calculus. Solve the problem 1.) Suppose f(x, y) = S*3 If fx (0...

A:

Q: Find dy/dx by implicit differentiation. x2 - 5xy + y3 = c y' = %3D

A:

Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r'...

A: Given r(x)=f(g(h(x)))h(1)=5h'(1)=5g'(5)=5f'(4)=8

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

A:

Q: Shown above is a slope field for which of the following differential equations? dy A dæ B dy = y – 1...

A: Follow the procedure given below.

Q: Use a linear approximation (or differentials) to estimate the given number. (Use the linearization o...

A: topic - linearization

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

Q: f(z) = { 3z 4z2 for z <0, 3z2 +3z for z20. According to the definition of the derivative, to compute...

A:

Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

A:

Q: + x. Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 ...

A: NOTE: Refresh your page if you can't see any equations. . take derivative so the slope of the ta...

Q: Evaluate the TV100-x²dx

A: Topic = Integration

Q: Q.15

A:

Q: d'y 2. The degree of the differential equation 5x dx +5y = 0 is dx

A:

Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

A:

Q: 2) Evaluate the integral 1 2- -2 XVX -16

A:

Q: Find the interval of convergence of E n(x – 8)" n=2

A:

Q: 4x 3+3x²+1 What is the general solution to the differential equation dx 3y2 y = V x4 +x 3 +x +C B y ...

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x-1 x1 a. Find lim f(x) or state...

A: Function and table values are given, we have to find the limits at given points.

Q: Find frx, fæy and firy for the function f(x, y) = (1+x + g)e*

A: Given: - The function is, f(x,y)=(1+x+y)e-xy To find: - The value of fxx,fxy and fyy for the given f...

Q: Find dy/dx by implicit differentiation. x3 + x2y + 7y2 = 4 %3D y' = %3D

A:

Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

A:

Q: Each one of the lines (a), (b), (C) and (d) represents the linearization of a function at the given ...

A: topic - linearization of a function

Q: trigonometri

A:

Q: (D3 + 6D? + 12D + 8) y = 0 when y (0) = 1, y (0) = -2 and y" (0) = 2

A:

Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

Q: (c) h(r)- (r- 2r)(r+) (d) j(r)= COS T 1- sinr *cos2tan r (e) f(r) Page 2

A: