(h – 2) - 4 (i) lim 2h

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

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Q: please

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: Exercise 14.5.5 dy if y is defined implicitly as a function of z by the equation dz To find 2 + ry –…

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Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

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

Q: Solve the initial value problem for r as a vector function of t. d'r Differential equation: = - 18k…

A: Given

Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

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Q: 3 Vx dx 2 x+1 Evaluate

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Q: The temperature at which water starts to boil (its boiling point) is linearly related to the…

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Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: 6. Use Newton's method to find the third approximation to the root of: x* + 2x – 4 = 0. Use x,= 1 as…

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Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(1) = (1+1)100 2. f(x) =…

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Q: -9dx xVx2-9

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Q: %3D Find the derivative of y = Vsinx COS I 2sin z 1. -sin z H S00 5.

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…

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Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: find dy for ee Sin (メ+34) dx

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Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: SS, x?/9 – y2 dA; Ris the region bounded by the circle x² + y? = 9. R

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Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: 9. (2xy – sec²x)dx + (x² + 2y)dy = 0 |

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

Q: Q4) Find the largest eigen value for the matrix 1 2 A= with x" (0) =(7/17 1) 5 4

A: simply find eigen value of the matrix A , two eigen value of the matrix

Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 4. 3, 6, 12,…

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Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

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Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: 4. For the following motion equations = 2t° - 15t + 36t – 22, t>0 a. Find the velocity and…

A: A detailed solution is given below.

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: y=4x-x², y=x

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Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: (xSin 受)x x cas dy -y Cos X Cos

A: Thr solution is given in the next step.

Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: Express the slope of each diagonal line (the one side of each shape which is not horizontal or…

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Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

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Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

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Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

Q: 4 dx 4-x2 Evaluate

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Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.