Solve the system of linear equations and check any solution algebraically. 3x +3y = 0 6x + 3y – z = 0 12x + 3y +3z = 0 (3, 6, 12) (3, 6, – 12) O (-3, 6, 12) (0, 0, 0) (-3, 6, – 12)

Q: Consider the polar curves Cı : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as…

A: Integral

Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: Find the indefinite integral. sinh(6 – 7x) dx

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

A: Solve the  intregal

Q: Choose point which has the correct location for the polar coordinate (2, 7). 90° 2 WIN 135° 4 7…

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Q: What is the volume of the region R = {(x, y, z) ER/l < x < 3; 2<y< 4;3 < z < 5} ? Select one: O None…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: A company manufacturers and sells z televisions sets per month. The monthly cost and price-demand…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: II. Matching Type: Match the definite integral in column A with its value in column B. Letters only.…

A: 11. ∫022x-3dx12. ∫-11x3+2xdx13. ∫03x2-2dx

Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: Use implicit differentiation to find dydx 4x^2y+9xy^2=6

A: Given that,       4x2y+9xy2=6

Q: 'he graph of a periodic function f is shown below. f(4) 4 \1.57 3.14 4.71 6.28 a. What is the period…

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Q: The dimensIons of awater tank are 13 cm, 10 cm and 70cm. If it is half-filled with water, cal-…

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Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: termine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Find the approximate change in volume of a cube of side 'x' inches caused by increasing its sides by…

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Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 25 Simplify sec(arcsec 1/2 ). no solution -1/2 1/2

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Q: 12 cm 4cm 4.cm 4 cm 9 cm

A: total volume = above rectangle volume + 2*below volume volume of rectangle = l*b*h here above…

Q: Compute the derivative of each function. f (x) = e³x* += (cscx + sec x)² %3D %3D

A: Follow the procedure given below.

Q: Find the curl of the vector fleld F(z, y) = 9ye" i+2ejat the point (-2, 0). Enter an exact answer.…

A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: 4. Calculate leme/) at (z,y) = (a, 4). sin(z/g) ey2/2 A ev2/2 B 4

A: Here we have to calculate ∂∂xesin(x/y)=? at (x,y)=(π,4)

Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

Q: Find the most general antiderivative or indefinite integral. 14 5x Зх+ 2) dx -3x+ 14 5x -3x+2) dx% =

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y2 - 8x + 16…

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

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Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

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Q: Please use definite integral in solving for the area. y = |x| – 2 and the x axis

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Q: Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following:   1. Write the standard…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: f(x, y)dydx= 0. f(x, y)dxdy. 0. Select one: O True O False

A: Given; ∫01∫0xfx,ydydx=∫01∫y1fx,ydxdy   Let, I=∫01∫0xfx,ydydx The region bounded by the lines, y=0,…

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: Choose point which has the correct location for the polar coordinate(-4, 180\degree). 90° WIN A 150°…

A: see below the graph and the answer

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

A: Inverse laplace transform of 3s+4s-2s2+7

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: Convert the Cartesian coordinates (0, 1) to polar coordinates. (1, 45°) (1, 0°) (1, 90°)

A: Use relation between polar coordinates and cartesian coordinates