3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do not parametriz (equation 9)

Q: Find the area region bounded by the loop of y^2 = x(5-x)^2

A:

Q: (d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

A: We can solve as follows

Q: 3. The Bernoulli's form of the differential equation x³ydx+(3x¹-y³dy=0 is

A:

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A:

Q: Current Attempt in Progress Find the arc length of the graph of r(r). r(t) = ²³i+j+₂√6²² k, 25157 Li

A:

Q: = ||r'(t) × r"(t)|| ||r' (t)||³ to find k(t). 3 r(t) = 5 cos (7t)i + 5 sin(7t)j + 4tk Use the…

A: Given  problem:-

Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: Consider the surface of equation z = x2 + y² . What is the equation for the tangent line to S at the…

A: We need to find equation of tangent line.

Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

A:

Q: If a manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and…

A:

Q: A point starts at (x, y) = (6,0) and moves CCW along a circular path centered at (x, y) = (0, 0).…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y−2)^2, the x-axis…

A: Given:        x=y-22 The volume of the solid obtained by rotating the region about the x-axis is…

Q: Using trigonometric substitution to evaluate:, find dx * √x + √2-x² dx, O 3 cosø dø O 3sec^2 Ø dø O…

A:

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: Let be an angle in quadrant III such that cos 0 = - Find the exact values of csc and cot 0. 0./6 csc…

A:

Q: Determine the area of the shaded region bounded by y = -x² + 6x and y=x² - 4x. ... The area of the…

A:

Q: A hive of bees contains 27 bees when it is first discovered. After 3 days, there are 36 bees. It is…

A:

Q: pt) Given the following geometric sequence: Get an expression for an Evaluate So Evaluate So if…

A: Geometric sequence

Q: √x² +16 dx

A:

Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: Water is flowing into a tank at a rate of r(t) = 3√2 cubic meters per minute. How much water entered…

A:

Q: Σ (1 + 28) n=1 n =

A: Solution: ∑n=1∞(1+x8)-n is an infinite geometric series with the first term b=1x8+1 and the common…

Q: b. The area above the x-axis and below y = 4x - x²

A:

Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Differentiate the following without solving for y in terms of x. 1. x² + y2 = 81 2. x²-x-y = 6 3. x2…

A:

Q: What is the triple integral that allows to calculate the volume of the = y² + ² solid Q?

A: Follow the procedure given below.

Q: T 1-2² (a) This is true. (b) This is false. 8. dr = arcsinz+C

A: Solution: ∫π1-x2dxTake constant out:=π·∫11-x2dx

Q: - A first order Bernoulli's differential equation is in the form

A: To find first order bernoulli 's differential equation is in what form.

Q: Jinny and Bing You has a total of 172 dollars. After Bing You spent 1/4 of his money and Jinny spent…

A:

Q: √x x² ln x dx

A:

Q: Describe the graph of the equation. r = (8-2r)i + 14tj O It is a line in 2-space through the point…

A: This is a problem related to vector calculation. Based on the general formula and concepts we will…

Q: From November to December of 2015, the price per share of BP Oil dropped from $95.25 to $62.25.…

A: We can solve as follows

Q: (c) r(0 - 1) = -cos (0)i-3 sin(0)j (d) r(π/6+ At) - r(π/6) = (cos Ar-sin Ar-3) + (20 At- At 2 2 2…

A: We have to find the value of function.

Q: ∫esin4xcos4x dx

A:

Q: 2ydx + x(x² In y-1)dy=0

A:

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

A: To the find the rough estimate of area of region that lies beneath the given curve and the exact…

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. - 4x…

A:

Q: ∫√(1+2sin3x) (cos3x)dx

A:

Q: 2. 2 ydx + x(x² In y-1)dy=0

A: Solution is given below:

Q: The base of a solid is the region enclosed by the circle x^2 + y^2 =9. Ross-sections perpendicular…

A:

Q: 1. fx² In x dx = f x² dx f ln x dx =(lnx-1) + C 3 Is the solution correct? If your answer is yes,…

A:

Q: Protected ViewSaved to this PC Search (Alt+Q) Mailings Review View Help 8-9. You want to have…

A: The compounded continuously formula is A=Pe^(rt) Where A= amount  P= principal  r= rate t= time

Q: For f(x) = √x+1, find ƒ'(x) using the definition f'(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this,…

A: TOPIC -derivative using limits and equation of tangent line

Q: COSX Let esinx = Soos* f (t) dt and f determine the value of (1/2) f(t) dut and f is a continous…

A:

Q: = cot = C C In (x² + y²) + 4 arccot =

A:

Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm.…

A:

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

A: Given

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method