For the number 70260.011000 What is the number of significant digits and what are the significant digits (! write the significant digits in the same order as they come in the number without any spaces or signs between them!). The number of significant digits is: The significant digits are:

Q: Determine whether F(x, y) = 2x²yi+ 8xy j is a conservative vector field. If so, find a potential…

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Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given xy=6        x=2 to x=4To find volume:

Q: Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y…

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Q: Find the work done by the force field F in moving an object from P(-4, 8) to Q(6, 4). F(x,y) = 2* 1…

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Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 5 sec2 x dx -T/6

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Q: An archway has a cross section, with a curved top in the shape a semi-ellipse. The measurements of…

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Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

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Q: 1 dx x(x3000+1)

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Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: Suppose we have the position function: r (t) = t. t2 Evaluate the tangential component of…

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 – r) + 7e

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: Given: a= 22, c= 24.1, zB = 67 b. a A B. Solve the triangle. (Do not round until the final answer.…

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Q: 1. Find a power series representation of In(1+x²) and determine the radius of convergence. Eind the…

A: 1.

Q: 2х +1 f(x) = 4х-2 е.

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Q: 18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the…

A: Please follow the next step.

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

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Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: To Find : Values of the given functions.

Q: 3. Sx³V4 + x² dx

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Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: Let's find.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

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Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: Find the length of the curve z(t) = e“ cos(t), y(t) = e“ sin(t) for 0<t<7. %3D Give an exact answer,…

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Q: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

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Q: 1 dv 5 3 v 2 –8v² +24v 2 –32v+16v 2

A: solution:-∫1v52-8v2-24v32-32v+16v12 dvlet v=t2dv=2t dt=∫2tt5-8t4-24t3-32t2+16t…

Q: Suppose the table below gives the velocity of a moving object at any time t. Note that 7 IS measured…

A: We have to find the distance and graph of v(t).

Q: y 4 (2, 4) y = 2x ソニx? Using a vertical element of area, the area of the shaded region is given by…

A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: 1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

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Q: dy into 11. The rationalizing substitution y = u° transforms J 7(1+ В. 6 f и du D. 6J TFu² du С. 6 /…

A: Given problem:-

Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: 7/2 SAT sin" x cos3 x dx

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Q: Evaluate the following Integras: 1. ( sin(4t) – 3 sin(2t)² dt 6. Vsech(4x) tan (4x) dx sinh 3y dy 6,…

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Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

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Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: 6. 19-x

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

Q: find the area of the shaded region

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Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

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Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

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Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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