1. adß+ ßda+aß(3da+dB) = 0

Q: Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola…

A: According to question,Given Integral,∫c2xy3-y2 cos x dx + 1-2y sin x + 3x2y2 dy

Q: Convert the polar coordinate (8, (8₁ coordinates. Enter exact values. X = y = 3π ▬▬▬▬▬▬▬▬▬ 4 to…

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Q: 3) Write and simplify an expression for the area of the figure. All angles are right angles 4√3…

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Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: Convert the point (x, y, z)=(5, 1, 3) to spherical coordinates. Give answers as positive values,…

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Q: 14 Approximate (²-6) dx using 4 rectangles. [6²

A: Given, ∫214x2-6dx, n=4

Q: (a) find vectors 30 and +2 (b) find lu + 2√1

A: The answers are given below:

Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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Q: Find a unit vector in the same direction as v = (-8,-6).

A: Given  v = <-8, -6> To find the unit vector in the same direction as a vector we divide it by…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find the mass of a ball of radius 7 if the mass density of the sphere is proportional to the square…

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Q: Express the limit as a definite integral on the given interval LC lim Exi In(2 + x?) Δx, [0,1] i=1…

A: Please see the below answer.

Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

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Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: State whether the equation is a parabola, ellipse or hyperbola. Then state whether it is vertical or…

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Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: Determine which of the following is the particular solution for the differential equation (D²-…

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Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: the An electron in a TV tube is beamed horizontally at a speed of 5.7 x 106 meters per second toward…

A: We can find how far the electron drop .

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: = 4 + 6x + 2y that lies inside the cylinder Find the surface area of the part of the plane z = x² +…

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Q: A tennis ball is thrown from the stands 10 feet above the court at a 40 degree angle up from the…

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Q: Given the following vectors, calculate −8u+7v U=(-8,5),V=(8,3)

A: Given query is to find indicated vector.

Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

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Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the…

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Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

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Q: A right triangle whose hypotenuse is √12 m long is revolved about one of its legs to generate a…

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Q: Let g(x, y) = 3.³ -6.x²-5.y2 +1. a. Əg ar Show/hide

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function.…

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Q: Use an inverse matrix to find the solution to the system. Find the inverse of the coefficient…

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Q: Although the process of identifying the absolute max/min of a function is different depending on…

A: When we have to identify the absolute max/min depending on whether the domain open/close, we need to…

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A: Solve the following

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if…

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Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

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Q: 9) What is the monthly payment for a 170,000 at 7.25: per annum ) mortgage of amortized for 20 years

A: NOTE: Refresh your page if you can't see any equations. . here we have L=170000 (loan amount)…

Q: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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