A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast i: its surface area increasing when the radius is 10 mm? O a 120rt mm²/day Ob. 320Tt mm2/day O c. 80rt mm2/day O d. 160rt mm2/day

Q: 5. S V16dy = 6. J 2 V8dc 7. J 3 27dx

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: Given problem:- ∫ 3 tan-1(x) dx 

Q: lim, 00 f(x) = lim, 4 f(x) lim, -1 f(x) = f (4) =

A:

Q: true or false If it is true, explain why. If it is false, provide a counterexample. a) Every decreas...

A: Question- true or false If it is true, explain why. If it is false, provide a counterexample. a) Eve...

Q: The graph of f' is given to the right. Determine x-values corresponding to local minima, local maxim...

A: We have to find x value for different points. 

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

A:

Q: 27 2 1-0°ス 2n り=o

A:

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: A - Evaluate the following integral. e2x cos3x dx

A: Given I=∫e2x.cos3x dx

Q: dx x4 V9 – x2

A:

Q: 2. Find the derivatives of the following equations: y = sin-'(1 – t) y = csc-'(x/2) CSC y = In(tan¬1...

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three sub-...

Q: 4 + 2y - 16) dy =

A:

Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: 2 Find CD C = 4 %3D 5 6 Find DC D

A:

Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A:

Q: * 00 R a1gissod snuiod /L • Question 4 Find the average rate of change of g(x) = - 4x° - 5 from x = ...

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A:

Q: Find f'(x). f(x) = (x* + 8) ¯º

A: Given : f(x)=(x4+8)-5.

Q: Find a power series representation centered at 0 for the following function using known power series...

A:

Q: 8. Sy'dy = 9 S 4x dx =

A:

Q: Sketch the region enclosed by the given curves. y-Vx-2, x- y- 2 y Find the area of the region.

A:

Q: 4.. For the differential equation y'= 2x' +5 1 a. show that y=÷x* +5x+c is the general solution. b. ...

A:

Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

A:

Q: (cos0+ tan@) do sec® + tan@sec²0) de cos20 A) True B) False

A:

Q: A mineral deposit along a strip of length 1 cm has density s(z) 0.08r(1 -) g/cm for 0 <z <1. Calcula...

A: Given problem:- A mineral deposit along a strip of length 1 cm has density s(x) = 0.08x(1-x) g/cm fo...

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: f1(y)=4y-y2f2(y)=y2-6yArea bounded;0≤y≤5A=∫05f1(y)-f2(y) dyA=∫054y-y2-(y2-6y)dyA=∫0510y-2y2 dyA=2 ∫0...

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: Use the graph of z = f(x, y) to determine the sign of each partial derivative of f at the point P. O...

A: Given query is to find the sign of the derivative.  

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0 R(3, 5, 1). NOTE: Enter the exact answ...

A:

Q: Solve the following initial value problem. y) = -3 sint+2 cos t with y"'(0)= 9, y"(0) = - 2, y'(0) =...

A:

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

A:

Q: The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general...

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: Q3 : Evaluate the following integral. x+V9-x2 xps

A:

Q: 5. The velocity of a moving object, in feet per minute, is given by: v(t) = t? 7t - 7t + 10 a. What ...

A:

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A:

Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

A:

Q: 1/8 | x In (8x)dx

A: To find the value of integral substitute 8x=t

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

A:

Q: Evaluate fv2 2) (2a? – 2?) dæ æ²) - -

A:

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: Identify the absolute extrema of g(æ) = x² Absolute Minimum of 0 at x=0 and no Absolute Maximum Abso...

A:

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

A:

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: 2. Determine if the series (-1)3n 1 n4 n=1 converges or diverges.

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u = 2*13...

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

A: