Using differentials, determine the approximate increase in the surface area of a sphere if the radius increases from 4cm to 4.05 cm.   a. 206.12 cm2   b. 1.26 cm2   c. 100.53 cm2   d. 5.03 cm2

Q: QUESTION 4 Find the equation of the tangent line to the curve at (1, 4). y = x' + O a. x = 1 O b.y =...

A:

Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

A:

Q: Find the point on the line y = 6x closest to the point (1,0). (Use symbolic notation and fractions w...

A: Given :line : y=6xpoint closest to the point (1,0)

Q: (x - 5)" For what value of x does the series converge? n=0

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 Σ 4 n = 1...

A:

Q: Evaluate the following integral. dx x(x² + 3) Can partial fraction decomposition be used to evaluate...

A:

Q: Find the nth Maclaurin polynomial for the function. 5x - 4 f(x): n = 4 x +1 P4(x) =

A:

Q: 2x² + 3 dx J x(x – 1)2 x(х —

A:

Q: The slope of the secant of the graph of y=3x - 2x² through the points at which x = -1 and x = 2 is 1...

A: NOTE: Refresh your page if you can't see any equations. . take x=-1 so the first point is 

Q: Write the first five terms of the sequence with the given nth term. = sin 2 %3D 4. 5.

A: To write the first five terms of the sequence with the given nth term.an=sinnπ2  

Q: 70- 60 50 40- 30 20 10 -10 10 20 30 10. Diego is a lifeguard and spots a drowning child 30 meters al...

A: Diego is a lifeguard and spots a drowning child 30 meters along the shore and 70 meters from the sho...

Q: QUESTION 10 Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. x - 2y = 2 ...

A:

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A:

Q: Find T(t), Ñ(t), B(t), and curvature k for the following curve. (The curvature is constant.) 7(t) = ...

A:

Q: Rewrite each equation as requested. (a) Rewrite as an exponential equation. Inx = 4 (b) Rewrite as a...

A:

Q: 16 Fill in the blanks. Non-vertical lines have ___________________ slope. Decreasing lines have ____...

A: for vertical line there are no slope  and for non vertical line we cant say about slope because it i...

Q: Match each of the following expressions with an equivalent expression. (You can use each option once...

A: Basic identities of trigonometry are used.

Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: Evaluate the integral. Show all of your work. x* х-1

A:

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: (x* + y° ) In (x² + y* ). (x,y)= (0,0) f(x, y) = k +1, (x, y) = (0,0)

A: If f is continuous then lim (x, y) tends to (0, 0) =k+1 And using l hospital rule. 

Q: Differentiate. (а) у 3 За? sin z

A:

Q: (x – 3)" Σ For what value of x does the series converge? n=0

A:

Q: 10- dA Where D is the region in the first quadrant bounded by D 2y-y2 x? = 4 – 2y. ein v

A: Using horizontal strip evaluate limit of the integral

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in c...

A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

Q: which expression would be easier to simplify if you used the comunative property to change the order...

A:

Q: 1 dx x2 + 3 3. dx x6 + 3 4. cos² (x) dx x² + 3 5. A. The integral is convergent B. The integral is d...

A:

Q: ,(KGR) ther wise (a) Calculati te pointwise limit fen)alim fca).

A: Given

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12 the ave...

A: topic - linear functions and application of derivatives

Q: What values of a and b maximize the value of ["(x – x²)

A:

Q: Find all the values of x such that the given series would converge. (6x)" n10 n=1 The series is conv...

A:

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

A:

Q: ad the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -...

A:

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and then find the nth Taylor ...

A: The taylor series polynomial of f(x) at x=x0 is given by:                        f(x) = ∑r=0∞f(r)(x0...

Q: In space coordinates system, the y-axis consists of all points of the form O (x, 0, 0) O (0, 0, z) O...

A: we know that(x,y,z) is nothing but distace of a point from origin along the x,y,z-axis

Q: Set up (Do not Solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A:

Q: (г,9) —(0,0)22 — у4 – y4

A:

Q: x² – y + 1 f (x, y) x² – y? + 1 -

A:

Q: Q.4\ The Taylor series for cosh(x) is:

A:

Q: A train moves at a velocity of v(t) 3t 32007 km/sec where tin seconds is the time passed since the t...

A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: Section 3.4 p. 308/310 # 192 Express the rational function as a sum or difference of two simpler rat...

A:

Q: a. 12.37 cm2/sec O b. 12.57 cm2/sec O c. 12.47 cm2/sec O d. 12.67 cm2/sec

A:

Q: 2x - 3 dx x2 - 3x – 10

A: we need to evaluate the integral :

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: (2x^2t-2x^3)dt+(4x^3-6x^2t+2xt^2)dx=0 find the exact equation diff eq

A: We have to find the solution of given exact differential equation

Q: Sketch the following, and identify the surface by name. Show all your work, including all traces. x2...

A: solution given below

Q: Write the inverse of h(x) = log6x h -1( x) = 6 x h -1( x) = 6 x h -1( x) = x 6

A:

Q: sin y 11- nY dA where D is the region bounded by the curve y = vx and the line y=x, if y # 0

A: try not to ask multiple question at a time. solve double integral