Find the dimensions of the rectangle of the largest area that can be inscribed in an isosceles trapezoid of height 6cm, with bases 8 cm and 12 cm.

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A: Volume under the curve y=f(x,y) over the region R is given by

Q: 2. C. b. Let (t)= and (u) = At what point P do these two space curves intersect. a. Find the tangent…

A: As per rule I need to solve only first three subparts.

Q: Determine whether the series 8 n=0 3 19 O D. OB. The series diverges because lim n→∞ n converges or…

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Q: Determine the angle between each of the following pairs of planes. (a) 3x + 2y - 7z = 4 and (2,…

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Q: Which of the following functions have at least one asymptote? ¡)f(x)=-x f(x): ii) ²/ x ›-() f(x)=…

A: and The line x=L" data-mce-style="box-sizing: border-box; margin: 0px; padding: 0px; font-style:…

Q: Scot² (3x) csc ²¹ (3x) dx

A: ∫ cot2(3x)csc4(3x) dx

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Q: Green's Theorem in the (ry) plane for a 2D Cartesian vector field F(x, y) = F₁(x, y) î+ F₂(x, y) ĵ…

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Q: Compute the discriminant D(x, y) of the function. ƒ(x, y) = x³ + y4 − 6x − 2y² + 2

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Q: b. f(x) = ( cas (x+1) sin(x+₁) - 5 √x+1)

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Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x² √…

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Q: Evaluate 2-5 dz algebraically by interpreting it geometrically. O 197.00 O97.50 O 12.00 O 98.50

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to…

A: Explanation of the answer is as follows

Q: a) The graph of y = 4sin (x) has many tangents with a slope of 4. b)________ Another way of…

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Q: X y = √ 1 + 2e for 0≤x≤3

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Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

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Q: A region bounded by f(x) = 2x + 2, y = x, and x = 2 is shown below. Find the volume of the solid…

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Q: Find lim (x,y) →(3,0) 3x -y #9 √√3x-y-3 3x-y-9 by rewriting the fraction first.

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Q: View the curve (y - x)² + 2 = xy − 3 as a contour of f(x, y).

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Q: Find the general solution to the following differential equations. Leave your answers in implicit…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: het fncx) = 1 + 1JCa 10 Evaluate [faces doc @ Find facad face) and face) Ⓒ find lion faces and f'cor…

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Q: Find the derivative of the function at P in the direction of u. g(x,y)= x-y 3xy + 5 Po(-1,1), u 12i+…

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Q: Evaluate the double integral over the given region. SS R 1 (x + 1)(y + 1) A. In 7 In 8 B. 8 In 7 O…

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Q: Find aflax and aflay. f(x,y) = 2x²y af əx af ду || ||

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Q: Explain, based on the shape of the graph, why the derivative of any exponential function is also…

A: We need to find graph of exponential function and it's derivative

Q: A Find T, N, and x for the plane curve r(t) = 5 In(sec t)i + 5tj. -<t</

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Q: Assume that the recursively defined sequence converges and find its limit. 63 a₁ = 2, an+1=2+ an The…

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Q: 48 a. Find the Jacobian of the transformation x=2u, y=4uv and sketch the region G: 2 ≤2u≤ 4,…

A: We have to find the following given condition

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. SS dA dA…

A: We need to write limits of integration.

Q: Find the Maclaurin series for the given function. 1 X-5 Ο Α. - Σ n=0 8 Ο Β. - Σ n = 0 Oc. Σ Σ n = 0…

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Q: (a) Let f(x) = of f(x). a ba where a, b, x > 0. Use limit definition to find the derivative f '(x)=…

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Q: f(x) = ln(x - 2

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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = − 42, an+1 = √√42+…

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Q: A company expects its income stream from a new product to be F (t)=100, 000t for the next 9 years.…

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Q: a) Sketch the graph for the following Functions. 2= 3-2x-6y Z= 3-2х-бу

A: So, solving the question 3(a).Given function,

Q: Question 3 Write a valid equation for the trig function graphed below. 25 y -20 15 10+

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Q: Find the derivative of In(8x³-5x).

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Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: Find the limit. lim (x,y)-(49:49) 2 x+y #49 x + y - 49 √√x+y-7 O A. 7 OB. 0 O C. 14 OD. There is no…

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Q: Find the area of the triangle with vertices P(1, 0, 2), Q(3,3,3), R(7,5,8).

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Q: . Consider a parallelogram generated by the vectors (1, y, -2) and (3, 0, 1). For what value(s) of y…

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Q: I cant see part a

A: (a) To find a vector equation of the line through the point  that is perpendicular to the plane .(b)…

Q: Find dy dx cos(xy) = y³ 3

A: given

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. OA. S S dy…

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Q: Find the equation for the tangent plane and the normal line at the point P (2,1,2) on the surface…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: Subject: calculus  Solve the system of nonlinear equations ((2x)^2/3) +( y ^2/3)= (9^1/3)…

A: x=     , y=x=,  y=x=, y=x=,   y=

Q: Express the area of the region bounded by the given lines as an iterated double integr The lines x =…

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Q: Define f(0,0) in a way that extends f to be continuous at the origin. 14x²-x²y² +14y² x² + y² - In…

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