1. Use a parametrization to express the area of the given surface as a double integral and then evaluate the integral: The cap cut from the paraboloid z = 2-x²-y² cut by the cone z = x² + y²

Q: 46. yz = ln(x + z)

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Q: Solve the D.E. 3 2 y sin ex-³y ros²x de ²

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Q: Approximate the logarithm using the properties of logarithms, given log, 2≈ 0.3562, log, 3≈ 0.5646,…

A: Solution:

Q: J 2x - 11 dx 2 x²+x-6

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Q: 1. x²y + 2xy-5y³ =0

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Q: Find all values of x For w/c the graph of f lies above the graph g. f(x) = 49* ; g(x) = 2/1/1/1

A: First graph both function÷ y=49x

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4x²

A: Here , we have given a function  y=4-x^2 Which is an equation of parabola. Now we have to find out…

Q: The figure in this exercise shows a horizontal layer of the vector field of a fluid flow in which…

A: This is a problem related to vector field. Based on the formula and concept we will answer the…

Q: e dx+2(xe – y)dy=0; -

A: Exact differential equation

Q: In the graph to the right, the equation of the parabola is x = region. (y-4)² and the equation of…

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Q: 4. f cot³ 2x csc¹ 2x dx = f cot² 2x csc4 2x cot 2x dx = f(csc² 2x - 1) csc* 2x cot 2x dx Let u =…

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Q: 6. Which of the following is a particular solution to the differential equation when x = e5 and y =…

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Q: Find the surface area when the curve C = {(x,y): 0 ≤ x ≤ 2, y² =2-x} about the x-axis.

A: We have to find the surface area.

Q: Using trigonometric substitution to evaluate:, find t * St³ (3t² - 4)ždt, O t = (2/V3) tang O t =…

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Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why.! lim f(x), where…

A: Given the query is to find the limit of the expression.

Q: Express the limit as a definite integral on the given interval. * n Χρισ lim Σ -ΔΧ, [1, 8] 0-00…

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Q: Identify the equation of the normal line of the funtion f(x) = -3x at x=2

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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: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

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Q: Tutorial Exercise A force of 9 lb is required to hold a spring stretched 3 in. beyond its natural…

A: 1 in = 1/12 ft

Q: Find for z = for z = ex-y Əz Əx

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Q: Compute the flux of the vector field F = 2xi + 2yj through the surface S, which is the part of the…

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Q: rocket is launched from the ground at an angle of 0.65 radians, and the rocket travels in a straight…

A: Given query is to find the height of the rocket.

Q: One historic earthquake had magnitude of 8.9 on the Riteter scale. How that had a magnitude of 8.5?…

A: Given:       If I1 and I2 are two intensities, then we are required to find I1I2. To relate this to…

Q: differential

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Q: d [r1(t) · r2(t)] dt d [ri(t) x r₂(t)] dt = =

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Q: If administrative assistants at Bookworm Publications make phone follow-ups after textbook reviews,…

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Q: ∫√(1+2sin3x) (cos3x)dx

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1,-3),…

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Q: Solve for the solution: (4D3-13D+6)y=0

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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: 13. What is 2sinx cos x dx? TRONG A. +C In 2 C. 2 cos.x B. +C 2sinx In 2 D. In 2 14. Which of the…

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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

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Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i + 7 sin(t)j; t = 3 T() 3 N(₁) 3. =

A: Given, r(t)= 7cos(t)i+7sin(t)j We know that,…

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

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17

Q: Change from rectangular to spherical coordinates. (a) (4, 4, 0) (p, 0₁ g) = (b) (12, -4√3, 8) (p, 0,…

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

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Q: Use the formula k(t) 286 +⁹ k(t) = (4 + 169 +¹2) ² = ¸ ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) =…

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

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Q: ∫esin4xcos4x dx

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Q: Evaluate D 6 |3x|√9x²-4 3 2 sin-¹3-sin-¹ 3 tan¯¹3-tan -1 1²/24 sec ¹3-sec dx sec-1³/12

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Q: The function f(x) is described by the graph below. 6 2- -1- -7 -6 -5 -4 -8 -2 -1 0 4 5 6 -1- -2- -3-…

A: Draw the tangent to the curve at x=1.5 & x=2 as shown:

Q: 2. Determine the area of the region bounded by the curve y = x³ - x² - 2x, and a. the x-axis the…

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Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

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Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

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Q: The approximate value of -31.8 using linear approximation, O (E) None of the choices O imaginary O…

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Q: Convert the angle in radians to degrees. (31/9)π

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Q: dx/(cos(x)-1) what is the answer to this integral? Use C for constant.

A: Use simple integration formula.