Ут. У 4+ 2 ly мв a.

Q: 1. IF PLx) =5х4 Sox2+9х2 Find F'(x) and F'(2)

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Q: Evaluate the integral. /² sin³ 0 cos²0 de Enter your answer in exact form. If the answer is a…

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Q: √√53-25² +5 ds

A: Given

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: Find the value of the following mplicit derivative tan y-sec x=5 find...y'

A: Given query is to find the derivative of the expression.

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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Q: The region bounded by the ellipse 16x^2 + 9y^2 = 144 is revolved about the x-axis. Find the volume…

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Q: 2) For hyperbola, consider the following graphs * *(

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Q: Can you elaborate you answer in b>? I cdont understand whiy it became 4

A: We have to elaborate why the angle is 4π3.

Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: Find the general equation of the conic with the given properties. 51 59 1. A parabola with directrix…

A: Given: A parabola with directrix y=-5132 and one endpoint of the latus rectum at -18, -5932

Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: Evaluate the following integrals: 0 • (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: S tan |2x dx Evaluate

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Q: Find the Laplace Transform

A: Topic:- application of integration

Q: Question : evaluate the following iterated integrals CLE dy dx

A: In the given iterated integral first we integrate with respect to 'y' and after putting limit of 'y'…

Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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Q: -4 -3 -2 -1 wo 4 -1 -2 -3 -4 -5 1 2 3 4 5

A: Slope is given.

Q: 2. Write the given (total) area as an integral. a. The area above the x-axis and below y = 4 - x² b.…

A: Let's find  area between given curve and x axis.

Q: 2 3s +9 Option 3 23 -e³t e-3t Option 4 None of the choices Option 2 Option 1 2 -3t 3 3 N|W 2 co

A: As we know the inverse Laplace transform identity; L-11s-a=eat   Given: Fs=23s+9

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

A: We have to find the volume of the solid of revolution generated when the area described is rotated…

Q: 2. √√√x + y + xy = 21

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Q: Evaluate lim f(x) using the graph of f. x→-4+ -6 10 2 6

A: This question is based on limits and continuity.

Q: Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f…

A: The given function is f(x)=9/x and a=-3.

Q: Ssin (1) dB

A: Topic:- integration

Q: Implicit Differentiation The process of finding the derivative of a dependent variable in an…

A: Given y3+4y2+3x2y+10=0To find dydx:

Q: Numbers 7,8,9 please

A: We have to find the value of ?.

Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: If the difference of the two given angles is a multiple of 360° then the angles are co terminal…

Q: Given R(t) = 4 costi + (1+ 3cost)j +5sintk. Find N(t) at t = = www. N(t) = ----k 10 Option 1 N(t) =…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: Given:-y=x2-5y=-x2+5let x=t  and -t are paramatric points on the curveboth the curves are…

Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Question * If lim x-1 f(x)-f(1)-3, then lim A->0 x-1 ƒ(1+h)-f(1)_3. h

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Q: Jmin = ymax =

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Q: Find all the relative extreme values in the domain of y = 4x2 - 3x

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Q: M8 ทะเ (23 - +3 1 k +4

A: ∑k=1∞ 1k+3-1k+4

Q: SUBJECT: DIFFERENTIAL CALCULUS FIND THE FIRST DERIVATIVE OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR…

A: We have to find the first derivatives of the given function.

Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = x³ +y³ + 3x²…

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Q: Consider the matrices shown below: A [閒 Compute tr((CTB)AT) 25

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Q: If f is a differentiable function and f'(x)=x55x4+ 5x³+2, then f is concave up on

A: As per our company guidelines we are supposed to answer only one question. Kindly send other…

Q: dy y-x General solution of = dx y+x

A: Solution:

Q: 1. If F(x) = ∙e S ex е et² dt, find F(1) and F'(x).

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Q: Solve the DE by Homogeneous Equation 1. x y dx + (x² + y²) dy = 0

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Q: Q2/Find the value of the integral fx by using simpson method (n = 6)?

A: This is a problem related to integration using numerical method. Based on the general formula of…

Q: {CLO-2} Find all vertical asymptotes of f(x). 4x f(x) = 4-x² Determine whether f(x)→∞ or f(x)→→∞ on…

A: Let's find given function asymptotes.

Q: ff xy dx dy

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Q: Obtain the general solution unless otherwise instructed 2. y - y' - x = 0 Ус = Ур y =

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