X = 1 mod 3 x = 7 mod 4 X = 2 mod 19

Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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Q: 5. Solve using 2 techniques: (x - ky)dx + k(y – x)dy = 0 where k = a +b %3D Dind th diff

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Q: Solve: x'y" - 7xy' + 41y =0

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: follow next step 

Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

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Q: Joes the graph of the function below have any horizontal tangent lines in the interval 0 sXS 2T? It ...

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: 8. find c in the int erval[-2,1] for f(x)=x' +x+3 use f'(c) = (b)-f(a) b-a 8.

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Q: Use by parts find r'cos x dx Jo

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Q: -8

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the e...

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Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

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Q: 3. у%3D V(3х + 5)5

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Q: cos (6x4) – 1 Let f(x) Evaluate the 9th derivative of ƒ at x = 0. %| x7 f(9)(0) = Hint: Build a Macl...

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Q: Eliminate the artitrany con tonts Y= Oix + be

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: -2x Hint: sinh(2x) = y" - y = sinh(2x) 2 а. Find ye b. Find u'i & u'2 C. Find u1 & u2 d. Find Yp е. ...

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Q: for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

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Q: The functions f, g, and h are defined as follows. 4+x? f(x) = 5 + /x+6 g (x) = x+7 h (x) = Find f(-2...

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Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-...

A: Topic:- derivatives

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

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Q: Déterminer une valeur approchée de l'aire de la surface bleue ci-dessous composée d'un triangle rect...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: (x* – 3e*+ Se²)

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Q: 26.The derivative of a sum is the sum of the derivatives. AEalse. B.True

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Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

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Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information. 

Q: 4. Homogeneous Diffe rential Equation: (x* +2.xy – 4y² kdx– (x² – 8.xy – 4y² kdy = Use the substitut...

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Q: Solve the given differential equation (3x+y- 2) da + (x +y + 4) dy = 0 O 3(x – 3)2 + 4 (2 - 3) (y + ...

A: Given differential equation, (3x+y-2)dx+(x+y+4)dy=0 So, dydx=(2-3x-y)(x+y+4)....(A)

Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Car...

A: The given polar equation is: r=16cos(θ)-12sinθ...(1)

Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

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Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

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Q: 6. CosX cot?x-cosx -0 cosA (cod 3x -)= coskcotX +D Crotă-) =0 cotx+l=0 cot x= -| tan=l-1 cotx-1=o co...

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Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4 ...

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Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: a). End behavior of f(x). b). Determine the r-intercept. c). Determine the y-intercept. d). Determin...

A: The end behaviour of a polynomial function f(x) is the behaviour of the graph of f(x) as x approache...

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the followi...

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Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A: Function change and slope     Answer is  192

Q: 2. f(x) = e2x; a=0, n=10

A: Given:       fx=e2x. a=0, n=10       

Q: (2x + xy)dy + 2ydx = 0 %3D

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Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

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