Finding the length of the curve with parametric equations  x(t) = 3t2,  y(t)=2t3,  0 ≤ t ≤ 2

Q: Find the following using the table below. 1 2 3 f(x) f'(z) g(x) 1 4 4. 1 2 4 (x),6 h' (2) if h(x) = ...

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Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Consider the following matrices 1 1 -2 [ 1 | A В - 4 -3 1 -3 1 4 -3 1 2 -3 2 -3 4 Determins which of...

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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: We can answer both the question as below

Q: The area in the first quadrant, bounded by the curve y=2x 1/2 , the y-axis and the line y-6=0 is rev...

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Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: 3. In (cos)

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Q: Suppose that in 1629, a man bought a diamond for $34. Suppose that the man had instead put the $34 i...

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Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

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Q: Problem: 5 coordinates are given: A(-1, 4, 5), B(2, -1, -2), C(-6, -8, 3) in RCS; D(5, n, -12) in CC...

A: Given coordinates: In Rectangular Coordinate SystemA=-1,4,5B=2,-1,-2C=-6,-8,3In Cylindrical Coordina...

Q: able of values to estimate the value of the limit (correct to three decimal places). If you have a g...

A: Please refer to the image below

Q: Given f(x)=−3x^2−x+15, find f′(−3) using the definition of a derivative

A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

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Q: 9, f(x)dx f(x)dæ = 4, f(x)dx = 6. %3D Suppose %3D | f(x)dx (9f(x) – 4)dæ

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Q: parallel

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Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

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Q: Prove that lim x² cos(1/x²) = 0. x→0

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Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible. l...

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Q: The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of chang...

A: Given query is to find the rate of change of area of a circle whose radius is increasing with rate o...

Q: Find the solution set of 5y-x=2 and x+y=1.

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Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: 2. Solve each of the following using graphing calculator for 0Sx< 2n. Round to two decimal places. F...

A: Topic:- trigonometry

Q: y = (1+ v) (2 - 2V=) 11 5 3 -3x+-x 2- 3 -3x 2 2 11 5 - 3. O Option 2 O Option 1 3 5 2 2 3 5 2 2 11 5...

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Q: P2. Test convergence of the following series (use the test(s) that you think is most appropriate) (i...

A: We will use comparison test to find the converges of the following series.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A: Use limit property to solve

Q: calculate the mass of the surface, knowing that the density at each point is proportional to the dis...

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Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq. ...

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: The indicated function y1(x) is a solution of the given differential equation. Use reductic -SP(x) d...

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Q: Given the polar curves r = 1 – 2 sin 0 and r = -4 sin 0. Do the following: 1. Sketch the curves on t...

A: This is a question related to curve plotting. Based on the polar function given we will try to plot ...

Q: co) = * a sin-1 =+= COS 6.

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Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each i...

A: Length of wire = 10 cm

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles wi...

A: This question can be solved using rate of change of quantities.

Q: Find the difference quotient and simplify. f(x) = -9x-2x+6 %3D The difference quotient of f (x) is

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Q: Determine the value/s of D if the graph of the equation 4x? + y2 – 4x + Dy = -2 is 1. an ellipse; 2....

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Q: For the vector u = and v= calculate projvu and scalvu

A: projvu = u.vv.vv                 and             scalvu =v.uv

Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not o...

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Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

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Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is ...

A: We can find the vertex as below

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: The radius of a circular oil slick expands at a rate of 3 m/min. (a) How fast is the area of the oil...

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) ...

A: follow next step

Q: Given the function f (x) = tan(3x) with the domain -5,5, choose the correct responses to complete th...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: 28. Show that D = 0 for f(x, y) =x + (x- y) and that the function has no relative extrema.

A: Given: fx,y=x3+x-y2 To calculate the critical points, ∂f∂x=0 ; ∂f∂y=0