LOSA ५.

Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A: Here we have to find relative maximum ,mininmum points and saddle points.

Q: 10 8 Consider the function f(æ) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) :

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Q: 3 of 7 f(x) = {x - 2, *5 3 x+4, %3D is continuous everywhere. x > 3 O false O true

A: Given query is to find function continue or not

Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

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Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

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

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

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Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

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

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

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Q: 6. Figure out the following limits without applying L'Hopital Rule. sin(r- 4) V2r -1-1 b. lim (2²…

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Q: Find the integrals by the method of partial fractions. x² – 3x + 4 dx ·J (a +1)(x – 1)(r+2) 1. 5х —…

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Q: sin(x) 1- sin? (x) 3. Evaluate the integral O 2ln|1 - sin2(x)| + C O -csc(x) + C sec(x) + C O None…

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Q: Solving by variation of parameters y"-3y =x we find that: O None of them O u1=(-1/6) x, u_2=-e^(-3x)…

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Q: Which of the following is the particular solution of the differential equation dy = e ;y = 1, when x…

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Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

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Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

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Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: Let x'y"-7xy' + 16y= 0 be an ordinary differential equation. Knowing that y,(x)=x* is a solution of…

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Q: On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" :…

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Q: 2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

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Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Determine if the infinite series is convergent or divergent. Σ n=13n+1

A: The given series,     ∑n=1∞n3n+1

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0sts2M. 3.1. Find an equation…

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Q: The integral 2 X dx | - Vx2 – 4 3 1

A: The objective of the question is evaluate the definite integral.

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

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Q: Assume x and y are functions of t. Evaluate for the following. dt dx 3 3, х%3D1, у%3D2 3 '= 2x + 6;…

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Q: 15 Evaluate. 2n - 1, where n = 6 1 32 63

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic…

A: Here I am providing handwritten samples

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: Evaluate the integral by making an appropriate change of variables.   7(x + y) ex2 − y2 dA,…

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

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Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: ()6 = K 3- 0- 0. 3 6.

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Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: Compute the partial derivatives: 5x dz dz

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Q: Arcsin(x/y) = 4x + 3y

A: To find out the double derivative.

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

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Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

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