3. | rV3 – adr -

Q: Graph the parabola. y = (x+5)²+1 Plot five points on the parabola: the vertex, two points to the…

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Q: 7. Find the volume of the solid generated by revolving about the x-axis the region in the first…

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Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: d- ax d² y +6. dx² d³ y dx3 - - Q.2-Solve the differential equation dy 15 - 100y = 0 dx

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Q: √-x if x1

A: Sketch the graph of f(x) Given information; The function is fx=-x,   x<012x,      0≤x≤12x-x2,…

Q: (a) State what it means for a function f: R → R to be continuous at a point x = c in R. (b) Consider…

A: Solve the following

Q: Find u · (v ✕ w).

A: Here we have to find the given vector operation

Q: I For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: In this question, we want to know at which points , the function f have horizontal tangent.

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: If we try to apply Rolle's Thorem to the function f(x) = 2x² – 20x – 5 on the interval [0, 14],…

A: Here, the given function is: f(x)=2x2-20x-5 and the interval given is [0,14].

Q: 3. g(x) = (2x - 1)³

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Q: Q.2-Solve the differential equation (answer three questions only) lo d. y""-6y" +12y' - 8y = 0

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Q: mi I Τ 1+ d) √¤√ï√™

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Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

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Q: Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त…

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Q: x²-3 (x-1)² Analyze and sketch the curve given by f(x)=- 2(x-3) (x-1)³ · if y'=—- and y"= 4(x-4)…

A: Given

Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

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Q: Solve the differential equation. 13. ( sin θ – 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0

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Q: From the following results, determine whether the function f(z) = 2x+8, 2<8 8 16, = 8. Justify the…

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Q: The following data set involves logarithmic growth. X 0.8 2.1 6.5 12.2 29.7 34.8 y 5.1 9.0 13.5 16.0…

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Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

A: Find out the total distance travelled during the first 10 seconds.

Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: Lea With reference to the activity in learning task # 3, find the derivatives of the following…

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Q: Suppose that a product currently sells for $24, with the price increasing at the rate of $5 per…

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Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

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Q: Solve this question yey = 1

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Q: C. 1-3/5 (6x³+11x² - 4x) 18x² +22x-4) dx

A: We can solve this as follows:

Q: Find an explicit solution of the given initial-value problem. dx = · 3(x² +1), x(7) = 1 dt X =

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: x³dx S 17. √(1-x²

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

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Q: Calculate under the function f(x)=tanx, from x=0 to x=3, by using Trapezium rule let the number of…

A: Find the integration using trapezoidal rule.

Q: The function is defined by f(x)=√x. Write down the expression for h (x).

A: Given: and f(x)=x.

Q: Which of the following is not a homogeneous function? h(x,y)= xª − 3xy³ + y¹ − x² cos Option 1 b(x,…

A: Let's solve.

Q: x2 X tet tx et + 1 A. lim x 2 B. lim - 3-1 2 - C. lim x⇒1 x² + x 2 x² - 1 Remember that if you…

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Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: 02:- a. b. Let u=x²-2xy + 2y³ with x = s² lnt and y = 2st³. Find ou/Os and du/ît. find the total…

A: In this question, we want to find the partial derivatives and total derivatives of the given…

Q: (a) The graph of y = g(x) is shown. Draw the graph of y=-g(x+1). 6 ?

A: We are authorized to solve only one question, please repost remaining questions Graphical…