x³-8 4 x+2 x 16 2. lim

Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: provided. f6x³(2x5 + 2)dx

A: We expert are following guidelines we are supposed to do the first question. Please put another…

Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.0 1.5 2.0 2.5…

A: Use the formula of derivatives and put all the values and calculate.

Q: For a cyclic group of order 420, the number of generators are, (a) 66 (b) 76 (c) 86 (d) 96

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The x-coordinate of the centroid of the…

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Q: Determine the value of k for which Assume that k is a positive number. k k 1/² 2/² | = 4 2k = 0

A: Given determinant of the 2 by 2 matrix is 0

Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

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Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f ¹ ((1/5,²)) af 1 T Evaluate да 23 π T√3 12 3 Option…

A: I am attaching image so that you understand each and every step.

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? O 1 O 1.001 O…

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Q: The value of x for which the series - OA25x<3 or 3<x≤ 4. OBx<2 or 4<x. OC. None of the choices in…

A: We will solve this question by first calculating the radius of convergence of the series.

Q: Use polynomial long division to write 2x² + x³ 3x² + 4x-9 - = Q(x) + 1²+1 = p(x) 1²+1

A: To divide using the long division.

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Area region = [ f(x) dx + √ f(x) dx +…

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Q: Which among the equation represents for equating the coefficient of x^2 form 3x + 2 = (A+B+C) x^2 +…

A: Given  =&gt;3x+2=(A+B+C)x^2+(-A+B-2C)x+(-2A) =&gt;(A+B+C)x^2+(-A+B-2C)x+(-2A)-3x-2=0…

Q: hello! Just a question, how are you sure that the given radius (2m) is on the top, not the base?…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

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Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ = 21. bounded by…

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

A:

Q: 2. y = (x + 1)2 and y = -x + 1

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded…

Q: I the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², Find : dz dz and 2- (by chain rule)…

A:

Q: 2. Consider the spherical equation given by p= 4 cos sino. Determine its corre- sponding equation in…

A: givenρ=4cosθsinφ

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

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Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: Convert each equation from rectangular to polar form. 5) (x-1)² + (y + 1)² = 2 6) x = y²

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, −5), (2, 0, 5), and (-1,3,0).…

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Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

A:

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope…

A: We know that x = rcos(theta) and y = rsin(theta)

Q: determine all inflection points of x^4 + x^2

A: Let,  f(x)=x4+x2 Now, f'(x)=4x3+2xf''(x)=12x2+2

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

A:

Q: Find the area under the graph of the function over the interval given. f(x)=e*; [-5,2] The area is…

A:

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Use Lagrange multipliers to find a relative minimum function value of f if f(x,y,z)= x² + y²+ z²…

A: Here, the given function is: f(x,y,z)=x2+y2+z2 with the two constraints…

Q: Consider the region on the 1st quadrant bounded by y = √√4x²,x and y - axes. If the region is…

A: Using shell method, given format is obtained. From this format, evaluate m-n.

Q: Which of the following represents the graph of The line with y-intecept 7 and slope 100 The line…

A: Solution: Given: y=100x-7 Compare with y= mx+c where m is slope and c is the y- intercept  m=100 and…

Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

Q: Find the following integrals a) f_d dx x√In x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Pls

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Q: 8) 3 3√3 2² 72

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Q: Function: f(x) = 6 - 12x + 2x3 Find: Critical points, maximum, minimum

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Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

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Q: Solutikn is not clear, can it be handwritten please. Thank you.

A: