Consider the equation 4y^2 + z^2 − 4x − 8y + 4z + 8 = 0. Then classify the surface it represents (and indicate the vertex or the center)

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: %VII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: The objective of the question is determine the "yc".

Q: 1. If x=11, 23and |-= 30; calculate +

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Q: Evalvate 5x-12 X (x²+4) dx

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Q: Evaluate the following integral by using Odd and Even Powers Method: y = [₁ cos5 (1x) dx

A: We will evaluate the given integral by using odd and even power method in the following step.

Q: A house was valued at $115,000 in the year 1995. The value appreciated to $175,000 by the year 2008.…

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Q: 4. For the relation explain the transformations, y-intercept, asymptote, domain/range, show at least…

A: The given function is y=2-x+2-1 ............................................. (1)

Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: (x² - 4) dx x² + 2x² + 2x S

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Q: 5 (x+4)³ For the function f(x) = exist, enter Ø as your answer. X -4.1 -4.01 -4.001 -4.0001 -4.00001…

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Q: Evaluate the integral. 3 x - 3 dx 11 X

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Q: dy 1. Determine for each of the following. Do not factor but simplify where appropriate. dx a) y =…

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Q: tan2x 3-f dx √cos2x

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Q: Find the area of the region between the curves y=x and y=x^3 on the interval [-1, 1]

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

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Q: Question 9: Use left-endpoint approximation to approximate the area under the curve…

A: Solve the following

Q: If we have the determinant below equal to zero, find the value of X 6 x | = ( 0 18 6

A: Given: 6x186=0

Q: If we have a valuable F(x) find: fro f(x) dx = −cscx + c

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Q: 1. If f(x, y) = sin(4x-2y)+ln(x²-2y) find fy fyx

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Q: Let the region be bounded by y=1/x, x=1, and the x-axis. Find the volume of the solid generated by…

A: Using application of integration

Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: The graph of y g'(x) is shown below. graph of g'(x) + (a) Give the x-coordinates of the critical…

A: We have to find critic point of the function and we have to check weather the function is local…

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

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Q: 18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

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Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: 05/A)) Find mif 772 375 5 √3/201 25 x2dx = 0.5

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: B) Let F(x,y)=√√y-x, then answer the following (For four only): (1) Find the function's domain (2)…

A: According to Bartleby guidelines I can only answer the first three sub questions.

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: 12. Which of the following is the vector equation of a plane that contains the line 3+2-¹ and the…

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Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: Solve 5^(x-3)=2^(6x-8)

A: Topic = Algebra

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: 4x+5 x2+x-2 5) 6) 2=1 +1 7) fx.tan-1x.dx dx =

A: To evaluate the given integral.

Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: Find the area of the region enclosed by the functions. 6 3 y=x and y = 8x

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Q: Daniel is to print texts on a piece of paper. The area of the printed text is 20 square inches. All…

A: Find out the dimensions of the page that will use the least amount of paper.

Q: Use the Substitution 8 *4(In x)³ 1 b n Formula, Sf(g(x)) • gʻ a g(b) (x)) • g'(x) dx = [ f(u) du…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x)= x²+2x-3 2x² +3

A: I have appended the formula used in the solution part of the question

Q: The following is a step in the evaluation of the derivative of a function f(x) at a point x = 1…

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Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: x-8 7 Consider the lines 1₁: x = 1 + 3t, y = 2 + 3t, z = 3 - 10t and 1₂: a) Find the point of…

A: Given problem:- Consider the lines l1 : x = 1+3t, y = 2+3t, z=3-10 and l2: (x-8)/7 =(y+1)…