Q: QUESTION 17 How fast is the surface area of a sphere changing when the radius is 25 cm if the radius...
A:
Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...
A: Given query is to find the rate of change of distance.
Q: Without the aid of Wrongskian, determine whether the given set of functions is linearly independent ...
A:
Q: Find the transition points. y = 10x - 90x4 (Use symbolic notation and fractions where needed. Give y...
A: Given equation is y=10x6−90x4
Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...
A: Given problem:-
Q: dy x fan x %3D
A: Given: -The equation is dydx=xtan-1xy To find: - The solution of the given equation.
Q: Q.4\ The Taylor series for cosh(x) is:
A:
Q: "Зх — 1 (c) f(x) = x2 + 3
A:
Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x - ...
A:
Q: Find the exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.
A: NOTE: Refresh your page if you can't see any equations. . take derivative
Q: Using the factored form, find the formula for the parabola whose zeros -4 and x = 2, and which passe...
A:
Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i
A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...
Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...
A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...
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: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...
A: topic- differentials
Q: Find the area of the surface obtained by rotating the curve y = about the x – axis from the point 1 ...
A:
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: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).
A:
Q: grocery
A: Please refer to the image below
Q: Determine convergence or divergence by any method. (-1)"n Vn? +2 The series converges, since the ter...
A:
Q: 87 1
A: Given query is to simplify the expression.
Q: State the domain, vertical asymptote, and end behavior of the function. h(x)=−log(3x−5)+6 En...
A: The given function, h(x)=-log3x-5+6
Q: Find limit lim (x,y) -> (2,0) ((Sqrt(2x-y)-2))/(2x-y-4)
A:
Q: Match the equivalent expressions. o tan(x) O cot(x) o sec (x) O 1– cos (x) a. sin"(x) + cos (x) b. s...
A: topic - trigonometric identities
Q: If x3 + y3 = 65, find the value of at the point (4,1). 2 dx y at the point (4,1) is 2 dx The value o...
A:
Q: Evaluate: || xydxdy using inner limits 0 to (y + 1) and outer limits 0 to 1. O 0.71 O 0.82 O 0.38 O ...
A:
Q: (b) What is the equivalent annual interest rate? (Round your answer to two decimal places.)
A:
Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...
A: To sketch: The curve r(t)→=<tcost,t,tsint> Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...
Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,...
A: In this question we have to find the Average speed for the trip.
Q: The Maclaurin series for cos(2x) for every x is:
A:
Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+C...
A:
Q: Find the exact length of the curve. y = 2/3x3⁄2, 0 ≤ x ≤ 1
A:
Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...
A: Given: fx=lnx, n=4, c=7 A taylor series is given by fx=∑k=0nfkck!x-ck here n=4...
Q: 2 For the given cost function C(x) = 16900 + 500x + x First, find the average cost function. Use it ...
A: For the given cost function Cx=16900+500x+x2, first to find the average cost function. By using it t...
Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3) (-1,-7)...
A: Given query is to find the value of x where seri is -1.
Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...
A: Given that fx=x+5cosx x∈0,2πTo find : point of inflectionSolution:if find point of inflection the...
Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos...
A: NOTE: Refresh your page if you can't see any equations. .
Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...
A: ∫210 6dx/(x-4)2 [-6(x-4)-1 ]102 [-6/(x-4)]102 -6/(10-4) +6/(2-4) -6/6 +6/(-2) -1-3 ∫210 6dx/(x-4...
Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...
A:
Q: Evaluate: A 3 2(,s–3) (c +C 15 4lnr None
A:
Q: 1. Find the general solution of (y? – 1) = 4xy2
A:
Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...
A:
Q: The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with hemispher...
A:
Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exact...
A:
Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex
A:
Q: (Vx² +1)j +8tm(x²; r(x) = sin (secx ?)i +csc Find the derivative of the vector function below ³(Vx² ...
A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1 j+8tan(x2)k To find: -The derivative of...
Q: An object is moving horizontally in a straight line. The object's position is given by the function ...
A:
Q: Q Tanco da
A:
Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4
A:
Q: Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o...
A:
find fsubxz if (x, y, z) = ye^x + x ln z
Step by step
Solved in 2 steps with 2 images
- Determine dimension x to 3 decimal places.Describe integration by substitution in your own words.A particle moves on the line y = 2x + 1 in such a way that its x−coordinate changes at a constant rate of 4 units per second. A right triangle is formed by the vertical line from the particle to the x−axis, the line connecting the particle to the origin, and the x−axis. At what rate is the area of the right triangle changing when x = 4?
- Use integration by subtitution to perform the indicated integrationonA rectangle is expanding such that its length is always 4 times its width. If the width is increasing at a rate of 0.5 cm/min,(a) How fast is its area changing at the moment that its perimeter is 100 cm?It is an integration example.
- Find the area of a triangle bounded by lines y=2x and x=1 by double integrationSuppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the ends, with a material 0.001 cm thick, determine the estimated volume of the insulation using differentials.Estimate ln(0.9) using a linear approximation