Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an integer or nearest tenth a

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

Q: 10. Find the limit using any technique. The limit of f(x) = 2x² - 3 as x approaches -3. 15 21 limit…

A: To find limit of f(x)

Q: 1. Evaluate the given integral Q. -2 2y-2 -K² Q Jo 1 = (xy-1) dx dy

A:

Q: lim x→>0¯ -3/x 2 x² e

A: This question is based on limits and L' hospital rule

Q: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: For each given functions, find the slope of the tangent at a given point using first principle…

A: We have to find the equation of tangent.

Q: 2 4 x + 8 d x (x+2) ³

A: This question is based on definite integral.

Q: 2. Show that the function g defined by VVT y² + √² 2, is not continuous at (0,0). (z,y) = (0,0)…

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Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: Suppose you place a $35 bet on a horse with a odds against winnning. Determine the winning payout…

A: Topic:- algebra

Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: 7 =-=—=x² Find the center of mass of a thin plate of constant density & covering the region bounded…

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Q: P Playing a Game-Quizizz…

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Q: x² dx -1 (2x²+2x+1)² sº₁

A: We have to evaluate the integral. ∫dxa2+x2=1atan-1(xa)+c

Q: Find the Taylor series for about f(x) = x³ + x² + x + 1 a = 1

A: As we know the Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where center at x=a.…

Q: 2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: Given: The surface is 2z-x2=0 and the point is P02, 0, 2

Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: [x³√₁-x² x2

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Q: Use the binomial theorem to expand the expression (u - 5v)¹

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Q: to find the aren ruse 2) Use a polar integral enclosed by the three-petaled r = singe

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Q: 5. Find the general equation of the circle of curvature of the parametric equation X= ;y=+√6(t+1);…

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Q: Physical Applications of First-Order Differential Equations A body at a temperature of 50° F is…

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Q: 1. Evaluate the given integral Q. JR (y - 2x) dA, R where R is the region bounded by x = 0, y = x, x…

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Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: Determine if the series converges or diverges (2) La=2 ਪੰਜਾ

A: To determine whether the given series converges or diverges.∑n=2∞ 4n3

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: Evaluate the limit sin 2x lim 20 7x

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Q: d e) (In|sin x)) dx

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Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Calculate the derivative of f(x) = sinh (x²). (Use symbolic notation and fractions where needed.)…

A: Using chain rule of differentiation.

Q: X f(x) =< Q 14/15 7 x + 1 3 ;0≤x≤2 ;2≤ x ≤3 5 Tov Then what is the result of 3 (fx) dx 1

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Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x&gt;-1}

Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: 2. Find the following integrals: a. √3x²-x+5 b. S 3x² √x3-10

A: We can solve this as follows:

Q: 2. Using Linear Approximation, evaluate √81.4305 using the given function and initial valu below.…

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Q: Find an equation for the plane that is tangent to the surface z = In (x³ + y²) at the point…

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Q: Determine the limit of the sequence or state that the sequence diverges. an = 1 6 n² (Use symbolic…

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Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: An open-top rectangular box is being constructed to hold a volume of 400 in ³. The base of the box…

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

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Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: M8 1 Σ n=1 h n’ + 8 +8 3

A: