4. Determine the dimensions of the cone of maximum volume that can be inscribed in a sphere of radius 10 cm.

Q: 1. For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates…

A:

Q: 10 A particle is moved along the x-axis by a force that measures pounds at a point x feet from the…

A:

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: 4. Find the critical numbercs) for gx) =IRCX+1) t, en cuaracterize ealh, one as 1ocal min, or…

A:

Q: Find the QR factorization of the given matrixX. -4 7 -6 -4 -2 -3 -2 8 9.

A:

Q: The function defined by x2 if r 0 is continuous at a = 0. Determine the left- and right-hand…

A: We have to check our function is differentiable at x=0 or not

Q: 12vt dt (1+ t3/2)2

A: Given integral I=∫1412t( 1+t32 )2   dt

Q: Find the gradient of the function at the given point. W = x tan(y + z), (3, 7, -3) Vw(3, 7, -3) =…

A: Given;  w=x tan(y+z), (3,7,-3).

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A:

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

A:

Q: Find u · v, u· u, ||v||², (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u. v (b) u.u (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: y" +y' + 1.25y = 0, y(0) = 3, y' (0) = 1.

A:

Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

A:

Q: (a) Find lim 0 arctan(3r)

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: Simplify arccot1. 4 no solution

A:

Q: t sin(t² + 4) dt cos(t² + 4)

A: To evaluate: ∫tsint2+4cost2+4dt Let I = ∫tsint2+4cost2+4dt

Q: Use polar coordinates ( and double integrals ) to find the volume of the solid that is below the…

A:

Q: Determine whether the following series is convergent or divergente: (-1)" Σ A n +7 n = 1

A: We can solve this as follows:

Q: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

A:

Q: Find the Cartesian coordinates of the point (−√2,(5π)/4)

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

A:

Q: Simplify cos[arctan( -). -12/13 5/13 12/13

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: If f(x) = csc(3x). then f' (x) = %3D o -3csc(3x)cot(3x) o -3csc2 (3x) o 3sec(3x)tan(3x) o 3tan? (3x)

A: Given: fx=csc3x To evaluate: f'(x)

Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = - 1 and x = 8 is…

A:

Q: Write each sentence in symbolic form. Use p, q. r, and s as defined below: p: Stephen Curry is a…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A:

Q: Water is falling on a surface, wetting a circular area that is expanding at a rate of ? s How fast…

A:

Q: y" +y = 0, y(7/3) = 2, y(T/3) = -4. = -4.

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. x = (t^3) − 3t, y = (t^2)…

A: Given

Q: Calculate the integral over a closed path C as given below using Green's theorem. • y?dx + 3xydy The…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain of vector function.

Q: Evaluate the iterated integral by converting to polar coordinates. 8 - y2 Vx2 + y2 dx dy

A:

Q: Use the integral test to test the series 2 3+5n n =0

A: Series ∑n=0∞ 23+5nWe need to apply integral test.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

A:

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: Given: z=0z=x2x=0x=3y=0y=3

Q: a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x² + 6x – 24 6x* + 8x – 9 f(x) =…

A:

Q: I"f'(x) 0. then which of the following is true? o f(x) is increasing and concave up o f(x) is…

A: If f'(x) &lt; 0 and f''(x) &gt; 0 Then , which of the following statement is true

Q: is a p-series. 57 - - ... 17 27 37 47 Select one: O True O False

A:

Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

A:

Q: Find the area of the shaded region. r = V cos 20 r = 2 cos 0 NOTE: Enter the exact answer. A =…

A:

Q: Find the differential equation corresponding to the family (x + a)? + 2y2 = a², where 'a' is the…

A:

Q: I. Read carefully the statements below. Write TRUE If the statement is always correct, otherwise,…

A: Given

Q: QUESTION 3 List the ordered pair for the following graph. a d e…

A:

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A: