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

Q: Use Lenz's law to answer the following questions concerning the direction of induced currents.…

A: The three figures are

Q: Let f(x) = 2e²+1 +e6. ƒ'(0) =

A: Given that:   f(x) = 2e(x^2+1) + e6.   We find differentiate of f(x) and again we find f'(0).

Q: Evaluate the following integral. S16 16 sin x sin 2x dx

A: Evaluate the integral  ∫16sin(x)sin(2x)dx

Q: Let f(x) = logox and g(x)=₁*. For all x g(x).

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Q: Evaluate the following indefinite integral. tan(arccos(3t)) /1 − (3t)² dt = help (formulas)

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Q: A colony of bacteria grows according to the law of uninhibited growth. The size of the colony,…

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Q: (a) If log (b) If log X 9 = 2, then x = 16 = 2, then x =

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Q: 2. Consider f(x) = ax³ + x + 1, where a is a real-valued parameter. Find all possible values of a…

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Q: Find the following limit or state that it does not exist. x²+3x+2 x+1 lim X→-1

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Q: Encuentre la solución particular para la dy dx Para la barra de herramientas, presione BIUS Ꭶ =…

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Q: use the elimination method to find a general solution for the given linear system, where…

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Q: Let f(x) = √√9x-x² and let R be the region bounded by the graph of f and the x-axis on the interval…

A: fx=9x-x2

Q: Speed Freaks Sports has determined their order of Blazing Blue snowmobiles is based on the wholesale…

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Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: If log₂ (6x + 6) = 2, then x

A: We need to find the value of 'x' using the given expression: log26x+6=2

Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

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Q: 7. Evaluate Jo F. dr where 2x + y² + (xy-√√z) k F(x, y, z)=√ri+ 2 and C is the boundary of the part…

A: We have to evaluate the given integral.

Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

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Q: A tunnel cross section is formed by a rectangle 5m wide and 8m high with a rounded section at the…

A: Draw a schematic diagram of given figure.

Q: Considering the given value of t, choose the ordered pair that lies on the graph of the given pa…

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Q: What is the integral that represents the length of the curve y = 1 =(2²+2) ³/2 from x = 0 to x = 1.…

A: Using formula for length of curve we find length of curve.

Q: dx 9. ·S 1- x² sin-¹ x Answer -1 In sin¹x +C

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Q: 6) Find the absolute maximum and absolute minimum values of fon the given interval. (Round all…

A: fx=x16-x2 ; x∈-1,4

Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: Consider the indefinite integral (ln(z))²–—– dz. This can be transformed into a basic integral by…

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Q: 5) Given h(x) = √√√8+x (a) Find the linearization of h at a = 0. (b) Use the linearization from…

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Q: Evaluate 。 2 48 • dA,R: 0s x ≤ 1, 9 ≤ y ≤ 16

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Q: 1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² +…

A: since you have posted multiple questions i can do first question( with three sub parts) as per our…

Q: (a) Solve the following differential equation dy x+√√xy

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference. 4cos…

A: let   A=4cos(105°)cos(105°)

Q: Find the Tangent line to elispe x2/40 + y2/40 = 1 at the the point (2, -(3)1/2).  a. y = 31/2x - 4…

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Q: α Σ n=1 1 η5η

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Q: What is the 50th term of the sequence represented by", ²-7 +36 for na 17

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Q: Graph: y=2cos2x+4

A: To graph the following function. y=2 cos2x+4

Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y

Q: 1. Evaluate each integral by first making an appropriate substitution. 1/3 (a) √ x(x² − 1)¹ dx__(b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The improper integral (2-3 dx equals Select one: O None of the others 00 ○ In 2 O -∞

A: Given integral: ∫0312(x-3)dx The given integral is an improper integral because the function 12(x-3)…

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √2x³…

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Q: Find the first partial derivatives of the function. f(x, y) = fy = -7

A: given,  f(x,y)=7yx3we know that,  ∂ ∂x(xn)=nxn-1

Q: Find the formula for the Riemann sum obtained by dividing the interval [0, 18]

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Q: Suppose that f(x, y) = e/ at which {(x, y) | 0 <≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double integral of…

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Q: Write an equivalent double integral with the order of integration reversed. 10 ((-- dy dx 10 10 dx…

A: NOTE: Refresh your page if you can't see any equations. . the limit of x is 0≤x≤10 the limit of y…

Q: F(x) = 4+√√x 9(x)=√√√9×14 (f・g)(1) =

A: fx=4+x and gx=9x4

Q: Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10…

A: Given indefinite integral ∫x3x2 + 10dx

Q: (A) Find the Laplace transform L{f(t)} in terms of s. If f(t) = 8t* + sin(2t) - e-st

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Q: Find S 2 x(x+3)² dx

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Q: Find d dx -(7 ln(x))

A: We know that derivative of ln(x) is 1/x

Q: rational function, where the degree of the numerator and denominator is 1, will always have the same…

A: Let the rational function with the numerator and denominator of degree 1 be, g(x) = ax + bkx + l…

Q: value C = rem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) =…

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