1- 3t - 2 t+1 - dt

Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: Find the points on the surface 5x^2+3y^2+3z^2=1 at which the tangent plane is parrallel to the plane…

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Q: Integrate by parts [2x(x-3)* dx Formula: Sudv=uv-fvdu,

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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Q: (ln(t))4 dt t

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Q: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

A: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

Q: What is the total change of f(x) between x = 0 and x = 4, when df = sin(2x) ? O 0.573 0.989 O 1.146…

A: If we are given f'(x) and interval from x=a to x=b then the total change is given by the…

Q: Use the substitution x = 2 sint, - ≤t≤ to simplify the following integral: 플 1 4 - x2 dx (a)…

A: By using substitution x=2 sint, -π2≤t≤π2, to evaluate the following integral. ∫14-x2 dx

Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: fip da ॥ 72 fi 2r+39 e

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Q: 4. Show that det(AB) = det(A)det(B) for A ===[₂]

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Q: f(x) = 1 1+4x2

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Q: The cost to ship a package overnight is $14.40 for the first pound and $3.90 for each additional…

A: Given :-f(x)=14.40 , 0<x≤118.30 , 1<x≤222.20 , 2<x≤3 To find :- The limit as x→2

Q: 1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) =…

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Q: If t(x) is a linear function, where t(-1) = −1, and t(3) = 4, determine the slope-intercept equation…

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Q: Find the work done in winding up a 300-ft cable that weighs 4.00 lb/ft. O 180,000 ft-lb O2400 ft-lb…

A: To find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

Q: 6. Prove that "x² dx = b³a³ 3

A: If F(x) is the anti derivative of f(x) in the interval [a,b] then

Q: For each ingredient, the bakery capacity can never be exceeded during any week. Select the option…

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Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: lim Ax-o+ 8 00 x + 4x Ax 1 8 X

A: We need to evaluate the following limit

Q: The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

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Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the value of the parameter ein f(x) = a-b²+e? O

A: we have given graph. We need to find the equation of graph.

Q: 7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy —…

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Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

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Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1, 5), Q = (3, 4,…

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Q: Given u (2) = 6, u' (2) = 4, v(2) = −3, v' (2) = −5. Find d (u(x). dxv(x) Evaluated at x = 2.

A: Use the quotient rules of the derivative

Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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Q: Ja 3 x√x - 2dx

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Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: 1. 3 [x² x³√x² + 1 dx

A: 1. Given thathere need to substitute

Q: 2. The table gives the values of a function obtained from an experiment. Use them to estimate f(x)…

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Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 20.sin(x), a =…

A: Here we have given a function: fx=20sinx, a=π2 So, here we need to calculate the Taylor Polynomial…

Q: 7. What is the modulus and principal argument of the following complex number? 4(cos(-57/4) +…

A: 4(cos(-5π4)+isin-5π4)

Q: (x² + x)ex³+³x dx

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: Find all solutions y' = (xy)^(1/3) y'= 1+x-y-xy.

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Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

Q: Find an equation of the plane passing through the three points given P = (4, 2,9), Q = (6,7, 18), R…

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: (a) ㅣ dr x(x - 1)3

A: The given integral is:I=∫dxx(x-1)2

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: (a) To create a linear function that models the given data, we need to find the equation of a line…

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

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Q: Given the ellipse: (x − 3)² 36 Find the center point: List the four vertices: + (y - 4)² 25 = 1

A: Given the ellipse: x-3236+y-4225=1 To find the center point. To list the four vertices.

Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

A: