Question A-iii: The angle between the vector field F at point P and the vector T = 3 ap + 2 ag -1 a can be calculated using the dot product formula only the cross product formula only we can use the dot product or the cross product

Q: Determine the magnitude of the cross- product for the two vectors: x = ai+bj+ck and y = di+ej+fk (ie…

A: Magnitude of a vector is given by

Q: Find the measure of the indicated angles. supplementary angles with measures 4x-1 and 10x - 71 The…

A: As we knowThe sum of the supplementary angles is

Q: 1. 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

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Q: Find a value of 0 in the interval [0°,90°] that satisfies the given statement. sin 0 = 0.89548894 0°…

A: Given the question,  in the interval here need to find the value of ,in the given interval, the…

Q: Evaluate the integral. a dx 26 (2²+x2)3/2" a> 0

A: To evaluate the following integral.

Q: If sec(0) = = 10,0 <0</ then 6 sin(0) equals cos(0) equals tan(0) equals

A: All trigonometry ratios are positive in first quadrant..

Q: Evaluate the integral

A: The objective of this question is to evaluate the integral of the function 8x² + 9x + 1 with respect…

Q: Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle…

A: Given that The central angle  radiansThe radius of a circle cmLet length of intercepted arc  cm

Q: When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity.…

A: Given that wwhen an automobile travels uphill or downhill on a highway, it experiences a force due…

Q: Evaluate the integral. (Remember the constant of integration.) 1.10 sin(50) do 40 C+ (-cos 50+ 4 sin…

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Q: 15. A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°,…

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Q: If g is the inverse of function f and f'(x) = sinx, then g'(x) is equal to (1) cosec{g(x)} 1 (3)…

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Q: Find all solutions of the equation cos x sinx - 2 cos x = 0. The answer is A + Bkπ where k is any…

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Q: Marco is 450 m due east of the centre of the park. His friend Ray is 450 m due south of the centre…

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Q: Evaluate the integral. (Remember the constant of integration.) 1. X X+7 + 8x + 20 dx

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Q: Solve for 0 ≤x≤ 2π. Where appropriate use exact value. 3 a) cos²x = ²/ 4 b) 2sinx + sinx − 1 = 0 c)…

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Q: The Big Nickel in Sudbury is the world's largest coin. From point P, 10 ft away from the coin's base…

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Q: Find the dot product of the following vectors ủ and v. u • v =

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Q: A. a = 9/1, b = 11/, c = 6/ Area of A: B. a 7m, b = 9m, C = 117° Area of B: Area of C: C. AB = 11mi,…

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Q: 23. A right triangle has an angle 25 and base 7 inches. Find the other sides and angle.

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Q: You're locked out of your house and the only open window is on the second floor, 29 feet above the…

A: The objective of this question is to find the length of the ladder needed to reach the window on the…

Q: A plane is flying at 560 mph with a bearing of 300". A wind is blowing at 20 mph with a bearing of…

A: Explaning the formula in a clockwise and anti-clockwise direction:-

Q: the definition of tan 0 m-tan 0, where m is the slope and 0 is the angle of inclination of the line.…

A: The figure

Q: 4. 3. 3x + 5y ≥ 15 x-3y ≤3 X≥2 -6x + 4y ≥ 12 x + y ≤3 y ≤ 3 X≥0 y≥0

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Q: -5 -4 -3 -2 -1 2 1 1 -2 -4- -5+ 3 The graph below can be represented by parametric equations of the…

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Q: A curve with polar equation" = 31 4 sin 0+17 cos 0 represents a line. This line has a Cartesian…

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Q: Calculate the size of the obtuse angle marked 0° in the triangle (right). 18 cm 26 cm 0° 30°

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Q: A line having an x-intercept of -2 and a y-intercept of 5. Find the general equation of the line.

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Q: Convert the Cartesian coordinate (5,6) to polar coordinates, 0 <0 < 2T r = Enter exact value. 0 =

A: To convert a rectangular co-ordinate (x,y) to polar form, use the following formulas

Q: 30 Given 0-72", and the opposite side is 4 yards long, solve for the remaining sides and angles.

A: Given:angle opposite side = 4 yardsTo find:remaining sides and anglesSum of angles of triangle =

Q: If 3cos2x + 6cosx - 2 = 0, then what is the smallest value of x, correct to the nearest tenth of a…

A: The objective of the question is to find the smallest value of x, in the domain 0 ≤ x &lt; 2π, that…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: The objective of this question is to set up an integral for the volume of the solid obtained by…

Q: 1. Suppose the length of the minute hand on a clock is 4 inches and the center of the clock is at on…

A: The objective of this question is to find the coordinates of the end of the minute hand on a clock…

Q: Find the exact length of the curve described by the parametric equations. x= 7+ 6t², y=7+4+³, osts3

A: The length of the parametric curve over the interval is The given curve of the parametric curve is

Q: Solve for the exact solutions in the interval [0, 2π). List your answers separated by a comma, if it…

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Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Graph the function for -π≤theta≤2π. How is the graph related to the graph of y=tan theta?…

A: The objective of this question is to graph the function g(theta) = 2tan(theta) for -π ≤ theta ≤ 2π…

Q: The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds…

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Q: The Muttart Conservatory has four pyramids. Two pyramids have a square base with sides 20.5 m long.…

A: Given information:The Muttart Conservatory has pyramids with a square base (sides: 20.5 m) and…

Q: A ship leaves a pier on a bearing of S62" E and travels for 75 km. it then turns and continues on a…

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Q: Find all solutions to 2 sin(0) = 1 on the interval 0 < 0 < 2π Ө Give your answers as exact values,…

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Q: Find the cosine of the angle between A and B.

A: In this question, we need to determine the angle vector A and vector B.cos(θ)=

Q: Find the lengths of side x and side y. Round your answers to the nearest hundredth, if necessary. X…

A: Given a Right angled Triangle ABC right angle at B with sides a,b and c.The Pythagorean theorem…

Q: For the given angle a in the triangle given in the graph 41 sin x = Cos x 40 sec a || tan x = cot x…

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Q: Find the range of the function f(t)=3sin t-π

A: The objective of this question is to find the range of the function f(t) = 3sin(t) - π. The range of…

Q: How many right angles are in this trapezoid?

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Q: For y = - 7 cos (1/3 X its amplitude is its period is Use radians and use pi for T. ;

A: y=-7cos(x/5)

Q: You are going to a party with a friend. Both of you are supposed to take packets of chips and…

A: The objective of this question is to determine the cost of a packet of chips and a bottle of soft…