Consider the vector field F= ·1.² F-dr along the curve C: F(t) = 4 con(t)i + 4 sin(t)), 0≤1≤ Evaluate Calculator Check Amer

Q: Anthony rides a train along a straight north south track. His position at time in hour is 3 s(t) =…

A: Let position function denoted by s( t ) Let velocity function denotes by v( t ) Average velocity…

Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: 5 30-60-90 Triangle 30 12 x 12 2x Ratio of Side Lengths x:x√3:2x=1:√3:2 60% x=254144=169 x = 1169…

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Q: Evaluate the limit. lim [1 + x →∞ 3 3x

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A: ∫sin2xdx

Q: Find the directional derivative of the function f(x, y) = n(x¹+y³) at the point (-3, 2) in the…

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Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: 15. Find all vertical asymptotes of the function x³ - 25x x4 -x3-20.x² g(x) = (a) x = -5, x = 0, and…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: f'x=12x2

Q: Find the tangent line(s) at the pole for the curve r-8 sin 30, 0 s0<

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Q: Find the values of a and b for which g(x) is continuous for all x. -5 if x < -1 ax+b if -1 < x < 1…

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Q: What is the sum of the first six terms of the geometric series 2-4+8-... ? α₁ (1-²¹) 1-r Sn = O S6…

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Q: Find the directional derivative of the function f(x, y) = ln (x + y³) at the point (-3,2) in the…

A: The given function is:f(x, y)=lnx2+y2Given point is:  P=(-3, 2)Direction vector is:  v→=-2, -3

Q: 3 F(x) = x² ³√√ 1-2x²-7X Find The F(X)

A: F(x)=x3(1-2x2-7x)1/3 We have to find F'(x)

Q: Find the surface area of the portion of the bowl z = 10+ x² + y² that lies below the plane z = 15.

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Q: Find the equation of the line tangent to the graph of f(x) = -x³-4x²-1 at x = -1. Provide your…

A: given  f(x)=-x3-4x2-1,  at x=-1

Q: What is the 10th term of the arithmetic sequence? 9 6 tn +5 4 3 2 -7 -8 -9 a10 = 436 a10 = a10 = a10…

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Q: 3. Use the properties of determinants (not the co-factor expansion) to show that 1 x x² 1 y y²…

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Q: Evaluate the double integral over R= [0, 2] x [0, 3] of the function z = f(x, y) = 5x² - y.

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Q: (a) Find the differential dy of y = tan 3x. (b) Evaluate dy for x 3π/4, dx = 0.3. dx (a) dy = = (b)…

A: a) y= tan(3x) dy/dx = d/dx(tan3x) dy/dx= 3sec2x(3x) dy= 3sec2(3x)dx

Q: Find the Jacobian of the transformation ï = 3u — 7v, y = u² - 2v

A: The given transformation x=3u-7v, y=u2-2v. To find the Jacobian of the transformation.

Q: y=5x².Inx

A: Given data:- y=5x2.lnx

Q: Find the integral, S (1/x4) dx O /లు + c ○ 4x³ + c ○ // x5 + c O none of these answers

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Q: find fx (x² + 1) dx ○ x² + 1/1/20 x² + c O ○x³ + x + 1 none of these answers can not be done

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Q: Consider the following. 6 x (x - 1) Let u = 5x³ - 1. Find du. du = dx dx Indicate how the limits of…

A: Given integral ∫01x2( 5x3 - 1 )4dx

Q: Find the slope of the tangent line to the curve 2(x + y)5 = y + 1 at the point (0,1). 5 6 [A] - 1 2…

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Q: The surface of the dome on a new museum is given by r(u, v) = 16 sin(u) cos(v)i + 16 sin(u) sin(v)j…

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Q: f(x) = 2x³ - 3x Find f'(x) using the definition of the derivative.

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Q: Find the indefinite integral. x6 - 2x dx X 6 •x-2x st st -dx =

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Q: Hey could you pls solve this 100% correctly with no mistakes and please do not take long last tutor…

A: Consider the given function. f(x)=x2-5x3+9x2+13

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: At 1 p.m., snail A is 9 ft west of snail B. Snail A moves north at 2 ft/hr and snail B moves south…

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Q: can you please annate this and show all wroking out

A: We will find possible combination which are practical also.

Q: A manufacturer has been selling 1650 television sets a week at $510 each. A market survey indicates…

A: NOTE: Refresh your page if you can't see any equations. . x=numer of TV sets sold per week y=price…

Q: (16) Perform the following calculation and simplify. 1 3 1 I 43 3

A: 1-1343

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Fx,y,z=yzi+xzj+xyk

Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

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Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: Consider the functions f(x) = 7 arcsin (2x) g(x) = 14arctan (a) Find the derivatives of f(x) and…

A: We have to find f' and g' and the value of C. For this we will first find derivative and then use…

Q: Construct a polynomial function with the following properties: fifth degree, 5 is a zero of…

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Q: EC2) Find the value of p for which the integral converges and evaluate the integral for those values…

A: We have to find the value of p for which the integral converges and evaluate the integral for those…

Q: What is the general formula for the th term of the sequence-4, 1, 8, 17, 28,...

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Q: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

A: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

Q: Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist,…

A: We find common terms then cancel it out so we find limits

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) 3x²…

A: The given differential equation is:3x2+10ydydx=0

Q: lim x→0 (cos x)^(1/x^2)

A: we need to find the given limit

Q: (15) Let 0 € (0,) and cos(0) = . Find sin(0) (Hint: sin² 0 + cos² 0 = : 1). (SHOW YOUR WORK)

A: Given data

Q: y sin(x) = x sin(y²)

A: y sin(x2) = x sin(y2)

Q: /17-√5 + Y³ 5 y dy = +C

A:

Q: Estimate the area under the graph of f(x) = 1/x on [1, 3] using a four rectangle left endpoint…

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