10 Find the radius of x 2 + y 2 - 10x - 8y + 1 = 0. √41 2√10

Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

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Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

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Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Determine a. (Give your answer as a whole or exact number.)

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Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole

Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden…

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Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: please

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Q: 6. Determine if is con n=1 (3n-1)*

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Q: dr

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Q: In(x² + 1)dx

A: We can solve the integration as below.

Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: d 31. Evaluate et ht dt 1 ((1+ Int) dx 1 A) x(1 + Inx) C) x+1 xe* B) 1+x D)

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: Let C(x) =x +4x+1 dollars be the cost function, where the x represents the quantity. The !3!…

A: 1) Here, to find the 11th item.  Now, the cost of x quantity is given by: C(x)=25x2+4x+1

Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: 15 17 23 28 ? 40 28 8 3 12 13 2.

A: Consider

Q: Given the two vectors: å = 2ỉ -j+k, b = i + 2k and d = 3ỉ + 5j in 3D. a) Determine the dot product…

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Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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Q: The volume of a cantaloupe is approximated by V=za. The radius is growing at the rate of 0.8…

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: In order to evaluate Vr2 – 10x + 29 dx, the correct substitution is Ox=-5+2 tan(t) Ox=2+5tan(t) Oa =…

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide…

A: This question is related to Integration, we will solve it using given information.

Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

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Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: dx 29. Evaluate + sinx + cosx c) h|1- tan | +C D) tan{1- tan +C A) tan 1+ tan +C B) h1+ tan +C

A: To Find : ∫11+sinx+cosxdx     Note : a)  1+cosx=2 cos2x2b)  sinx=2sinx2cosx2

Q: The graph of a derivativef'(x) is shown in the figure below. Fill in the table of values for /(x)…

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Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

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Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.