Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

Q: 54. Look for the volume of the solid produced by rotating the region enclosed by 1792# T y - x² =…

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Q: Find the k-component of (curl F) for the following vector field on the plane. F = (Xex)i + (8y ex)j…

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Q: tanx - x x-0 x - sinx 1. lim

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: 8x²-x+8 x(x² + 4) 2 lnx + 6 in (x²+4)-4 Arctan ¹ (1) + C Option 1 4 Inx+6 In (x²+4)- Arctan (+C…

A: topic -indefinite integral

Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

Q: ГО 0 01 = 0 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagonal…

A: A=000014023characterstic polynomial of A =|A-λI|eigenvalues of A=|A-λI|=0eigenvector of A…

Q: VI. Consider the conservative vector field 1. F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry²…

A: Solved below.

Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

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Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: 4. A spotlight is on the ground 20 feet away from a wall and a 6-ft tall person is walking towards…

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Q: Use integration by parts to find the following integral. 1 4x+5 dx X b 4x + 5 + Su dv = f dx. What…

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

A: Given problem:- Let a(t) = 20e-0.3t (in milligrams) be the amount of drug in a patients body at time…

Q: The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change…

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Q: Find the general Solution of the complement OF the following differential equation y"-7y) -6y=013…

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Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

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Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: ||. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 8 9 3 2 ㅋ

A: Let's find cofactor of 6 in matrix D.

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: find inverse 5-11 -7-9

Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

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Q: For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the…

A: Slope= df/dx

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: 2) fff (x² + y² + z²)ž dv D is the unit ball. Integrate using spherical coordinates.

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Q: A poster of area 960 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: In Exercises 1 and 2, compute the solution of the given IVP. d²y 1. +9y2 cos(3t), y(0)=2, y'(0) = -9…

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Integrate. √7x²√x+2dx= (Use integers or fractions for any numbers in the expression.) √x+2 dx

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9 None of the…

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Find the solution of the following IVP x²y' + 2xy = ln(x), y(1) = 2 1 1 y = ln(x) y=-In(x) - + 3/2 -…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: ind the general Solution of the of the following differentia yu-5y" +4y=013 y=0

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Q: The position of an object moving along a line is given by the function s(t)= - 16t+80t. Find the…

A: The objective of the question is determine the average velocity in the given intervals.

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

A: We have to find the area of the given region.

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y=√x,…

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Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

Q: USING WASHER METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: 1. f(x) 2. f(x) = 3. f(x) x² - 4x X 2x x²-9 x² x-2 ; C = 0 -4 ; C = ; C = 2

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Write an expression for the new function when g(x) = 3 + 8x is translated / shifted one (1) unit…

A: Given problem:- Write an expression for the new function when g(x) = 3 + 8x is translated / shifted…

Q: If u = 0 (and neither of them are zero vectors), then the two vectors are orthogonal (perpendicular)…

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Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: y = sinx, x = 0, y = 1; about y = 1.

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Q: Determine the area of the region bounded by x=3+y^2, x=2-y^2, y=1 and y=-2. *

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Q: 5. Set up an iterated triple integral in the order dxdzdy that gives the volume of the solid in the…

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