3. 4. If =(-12, 4, 8) the position vector of u is.............

Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

A:

Q: 18. Evaluate § (9 − x² − y²) dV, where H is the solid hemi- sphere x² + y² + z² ≤ 9, z ≥ 0.

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Q: dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh…

A:

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: Express the function in the form fog. F(x) = (2x + x²)³

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Q: can you provide another clearer solution please

A: Explanation of the answer is as follows

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: A = 15-6 14 53 2, b= 22 12 9 -6

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Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

A:

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Let's find.

Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

A:

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: If = (-12,4,8) the position vector of u is.............

A: We know that if a=<x,y,z> then its position vector is a=xi+yj+zk.

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: If 0 = 0 and R = 7√2, then F₂ = 2

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: (c) Express the number 1.234567 as a fraction (in its simplest form) using the sum of a geometric…

A: Ans=45679/37000 For detail...go through the solution.....I have solved step by step in detail

Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

A:

Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise fu…

A:

Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

A:

Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: Solve the differential equation dy = 1+x. dx Use the initial condition y(1) = 6. Express y in terms…

A: Given differential equation is of first order and first degree . We solve this equation using…

Q: 01: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: (d) Find a vector function that represents the curve of intersection of the two surfaces: the xy…

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Q: B. The vector =(4,-2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

A: Note: Here, question A is an initial value problem (IVP) but initial values are not given.Therefore,…

Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

A:

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Q2: A. Determine if p=i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A: According to Bartleby guidelines I can only answer the first question of the two questions given.…

Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Compress from the natural length through 1-0.8= 0.2 meter spring constant 'k'=16 N/m

Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: y = Arctan 2+x 1-2x

A:

Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: dy Find the general solution of the differential equation: dt What is the integrating factor? µ(t):…

A: topic- differential equations