Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Set up the integral representing the area of the region between the curves = -1, x = 4, y = 2x - x²,…

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Q: iven that x = sin-¹-3). what is the exact value of cos(x) A 10 3 √10 B 3 2√2 3 Ⓒ ²√² D

A: Given query is to find the value of cos x.

Q: The region is bounded by y = x³, y = 2x + 4 and y=-1. Then Arearegion= = ["f(x) dx + ["g(x) [*g(x)…

A: The region is bounded by y=x3, y=2x+4 and y=-1. Then Arearegion=∫abfx dx+∫bcgx, where a<b<c.To…

Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: find dy/dx : y =3√tan3xx2

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Q: Find lim 2-0 -x-1 x²

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Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y =…

A: Given :y=x3+2x2-6x+5line : 2x+y=4

Q: Solve the following boundary value problem using finite difference method given that…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

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Q: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.

Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element. A…

A: Using vertical element form a double integral then solve it

Q: The circular ring method is to be used to compute the volume of the solid generated by revolving the…

A: Solution is given below:

Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: Find and classify all critical points of the function f(x, y) = x³ + 2y4 - In(x³y³)

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Q: Evaluate the following double integral over the given region R. [[ 2 ln(x + 1) (x + 1)y Use…

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Q: Evaluate S dx √x² +25

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) 5 1 -7 -6 -5 -4 4 y…

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Q: Hnew ³ Let w=f(u) + 9 (v); where u = x+iy and V=X-iy, show that w satisfies the Laplace eap. Wxx +…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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

Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x<2 or 4<x. C. 2<x<3 or 3<x ≤ 4. D. 2<x<4.…

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Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: For the following homogeneous differential equation, given that y1(x) = ex is a solution, find the…

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Q: fx ln x dx.

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Q: The value of $ (2xy - x²)dx+ (x+y²)dy, where C is the enclosed curve of the region bounded by y=x²…

A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   I=∮2xy-x2dx+x+y2dy And C: y=x2, y2=x…

Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: Evaluate the following integrals (a) 2x+3x-2 dx

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

Q: integrate * Se³x+2 dx 2017 O +C d (2) 200 (14(14(1))) STOPISTOP!

A: The integration of the integral is e3x+2.

Q: Find the partial derivatives of 2z+y²+2 Ja 8z 2zyty2 81 (エール) (z+y)² 2zy+y² Ob. 82 2zy-y² (z+y)…

A: Given the function, x2+y2x+y

Q: indly provide a sign table with its conclusion of the curve sketching. (Concave up/ down, increasing…

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Q: Evaluate Limx→13 x²-1 O a. infinity 5 O b. 2 O C. 0 O d. none of these O e. 2²/33 25

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Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

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

Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A: We have to find value of area AL

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: uestion 12 The power series representation of f (x) = ln(x2 – 1) is given by A. None of the choices…

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Q: dt dx dt -2x=4; where x(0) = 1

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Q: Evaluate the following double integral over the given region R. 11 2 ln(x + 1) (x+1)y Use…

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A: Volume of solid revolving about x axis  between curves h(x) and f(x) is given by

Q: Suppose the graph of y = f(z) is given. The graph of y=f(z) can be found by: O A reflection across…

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Q: If w= ebix-b2y-b3z, where b₁,b2, b3 are constants and b + b + b = 1. Show that 8² w 8² w 8² w dy² +…

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Q: The total cost of producing a radio sets per day is $(²+35x + 25), and the price per set at which…

A: We have to find daily output to obtain a maximum total profit

Q: consider using rational

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Q: (a-x)² (a-y)² (a-z)² Express (b-x)² (b-y)² (b-z)² as a product of two determinants and hence…

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