Example 8: Find the point where the line 2t, and z = -3t intersects the plane x = 1 + t, y = – 4x+2y– 4z = -2 -

Q: Find the area bounded by the curves y? = 6x and x? = 6y. A. 15 sq. units B. 18 sq. units c. 9 sq. un...

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Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: Evaluate the integral: ſ csc xv1 + 3cotx dx.

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Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

A:   Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120 

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Find a positive root of equation x - 2x - 5 = 0 by the method of fixed-point iteration. Hints: The r...

A: Given the equation is  x3-2x-5=0. We have to find a positive root of this equation by the method of ...

Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

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Q: sin(x) Evaluate lim,→0

A: We have to find the value of the limit                limx→0sinxx3 Now,        put x=0   in sinxx3  ...

Q: Hi, I need help with this calculus problem. Thank you for your help - I really appreciate it! For th...

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Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

A: This is a problem related to series expansion and calculating the term of it. Since series is starti...

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: computes curve length for 0

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Q: 8x²y" + 10xy' – (1+x)y = 0

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Q: Evaluate dz. 23 x2+1

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Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Compute the volume bounded by y = x² – 2x and 3y + 2x2 – 27 = 0 when it is revolved around the x-axi...

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

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y² – x² su...

A: f(x,y)=y2-x2g(x,y)=14x2+y2-1=0∇f=-2x, 2y∇g=x2, 2ySet up:∇f=λ∇g and g(x,y)=02y(λ-1)=0-2x-λx2=0x24+y2=...

Q: A circular plate of 9m radius is submerged vertically in a tank of water so that its top is 4m to th...

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Q: 5. Half-Angle Sub

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Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete approx...

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Q: problem

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Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: 6-2x Prove by definition that lim 4. 3

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Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

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Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: Let V = a•u =(a,a) Then, put |v|=6 and find value of a.

Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. 6. r = cos (0) – sin (0) (Expr...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: (2x² + 3) dx (x² + 1)2

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: Given:  The amount of pollutant in the atmosphere is decreasing with time t according to the formula...

Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

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Q: Determine the area bounded by the curve y-9x/5 and the line y=x-2 A. 3.43 sg. units B. 6.86 sq. unit...

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Q: The equation of the circle is X² +Y? = 11 what is the center of this circle (11,11) (2,0) 3 4 خيار 6...

A: Center of Circle Formula The center of circle formula is also known as the general equation of a ci...

Q: .Determine the equation of an ellipse that satisfies the following properties:  - the center point ...

A: Given problem:- 3. Determine the equation of an ellipse that satisfies the following properties:  - ...

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

Q: 3. Apply the partial fraction decomposition to evaluate the integral 4-x2 x(x2 + 2) x

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Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: 00 1 -dx x3 – 1 1 4

A: Use the definitions of improper integrals to write the improper integral in terms of limits.

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2+4q−46P(q)=-0.03q2+4q-...

A: This question can be solved using the concept of maxima and minima.

Q: Evaluate f sec x dx. Show your solution. Upload Choose a File

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Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.