Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly dependent and does not span M,

Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show your…

A: This question can be solved using the concept of volume of the solid generated by revolving the…

Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: S sin x In(cos x) dx

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Q: x² +1 1. х* — 5х+6

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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Q: Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that…

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Q: Find the value of c for which the area enclosed by the curves y = c – x² and y = x? – c is equal 88.…

A: The given question has been solved in detail

Q: 3. If sin a and a is in quadrant I, use the double-angle identities to find sin (2x), cos (2x), 8…

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Q: Consider the parallelepiped with adjacent edges u = 8i + 9j + k v = i+j+ 8k w = i+ 3j + 4k Find the…

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Q: MY NOTES ASK YOUR TEACHER Consider the following functions. f,(x) = 4, f,(x) = cos2(x), f,(x) =…

A: Let's find.

Q: Vcos² x*(x-1)³ (x+Vx)² 3. y = 2 Differentiate using Logarithmic Differentiation

A: y=cos2x43x-13x+x2

Q: x²+2x 1. S**** is equal to x+1 c. +x + In\x + 1| +c 1 А. х — + C С. 2 1+x x2 В. 2 D. -+C 1 + x –…

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

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Q: 9. Decide whether or not the following equations are true or false: e° = cos" r + sin² r = cosh? r –…

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Q: Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (8,0), (0,…

A: Station is located at the point ( a,b)

Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact…

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Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

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Q: Find the vector component of v = 2i - j+ 3k along b = 6i + 6j + 7k and the vector component of v…

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Q: dx = - 4 In|x| +C %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: S (x² – 12x + 100)(6 – x)dx -

A: We can solve as follows

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 7 tan-1 ; P(-8,8); а%3…

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Q: 13. Integrate: S(sec³ 0 tan 0 - sec 0 tan³ 0)d0 A. In sec 0 + C В. In sin @ + С C. sec 0 + C D. sin…

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Q: k-1 Consider the geometric series ) 3 k=1 (a) Find the formula for the nth partial sum of the…

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Q: 7458 B2 Follow the solution format on the picture.

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Q: 3. [3x*(Cos x² + 6)

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Q: I need to be shown the process and steps for these two problems: differentiate/integrate to find a…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. (If an…

A: Given query is to find the Indicated value of the function.

Q: х(4+sin 6x) 3. lim X→+0 х+1

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Q: tan² ydy 9. Find f tan² y+1 1 1 c.글y-3sin 2y + C D. y –sin2c + C A. y +sin 2 y + C 4 В. tan y — у +…

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Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: (a) f(x) dx 10 15 (b) f(x) dx

A: Here we have to find the given integral using the area under the graph

Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: (a)the curl and (b)the divergence of the vector field. F(x,y,z)= ln(2y+3z)i+ln(x+3z)j+ln(x+2y)k

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Q: Find Duf at P. 3 f (x, y) = sin(3x – 5y); P(5,3); - - NOTE: Enter the exact answer. Duf =

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: Calculate the area of the circle r=18sinθ as an integral in polar coordinates. I have this…

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Q: Suppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the correct…

A: The correct answer is option (d).

Q: Consider the mass-spring system for mass 0.5 kg, spring constant 4.8 N/m, and an oscillating force…

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Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: Approximate the area of the region bounded by the graph of f(x)=16-x and the a-axis on the interval…

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Q: Find the area of the region bounded by y = 2x , y = -8x and y = 2 %3D using double integral. Leave…

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 = 2/3x + C O b. y? = -4/3x+C O c. y/2 =…

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Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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