x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

A:

Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: 2+ cos x 5 (b). Let g(x) = Find equations of the tangent and normal lines to the x sin x graph of y ...

A: First find the point corresponding to given value of x then take the derivative of function to get t...

Q: Determine the function represented by the graph -2m 7m 8m

A:

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 + 32...

A: In this question we have to solve the following question.

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

A:

Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: Assume that g(x) is a function given by 2.x? + 3x +2 g(x) = x² + 2 Prove that g(x) is bounded for al...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 4 %3D P4(x)...

A:

Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = fi(x) +...

A:

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

A:

Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel. |

A:

Q: x'- 36 lim 16 x+6 (a) Vx+11-4 lim- (b) х -5 (c) lim- +2 2-x

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A:

Q: When you perform polynomial long division on the rational expression a²+3x+3 the numerator of the re...

A: The rational expression,    x2+3x+3x+1

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: fx +1 3- ax? if x > 1 if xs1 2. f(x) = %3D

A:

Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

A:

Q: Factor the difference an+1 - an to show that the given sequence {an} is strictly increasing or stric...

A:

Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h f(x...

A:

Q: From the roots of indicial equations, identify the general form of the first and the second solution...

A:

Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

A:

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

A:

Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

A:

Q: x2 dx. Which of the following options is correct? Consider 9+x6 A) Arctan + lim - Arctan lim 9. w- 0...

A:

Q: Question 15 Evaluate the integral V4x 4x4 12x2 +7 xdx. (4x* – 12r?+7) /2 +C 24 B(2x-3)/4x4- 12x2+7 +...

A:

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: f(x) = 16 ln(1+x)f0(0) =16 ln(1)f0(0) =0f1(x) =f'(x)=16x+1f1(0)=16f2(x) =f''(x)=-16(x+1)2f2(0)=-16f3...

Q: tan (In |4x²|) (In |(2x)^|)|+C. what is b? The integral of -dx is b In cos

A: Given: ∫tanln4x2xdx Integrate the equation we get, Consider, u=ln4x2 du=2xdx Substitute in integral ...

Q: 4. Are the two limits below the same? lim x-0 x| and lim x-0 X

A: As per our guidelines we are supposed to answer only one question i.e. the question no 4, which is y...

Q: x - 36 lim X6 x+6 (a) Vx +11-4 (b) lim- x-5 (c) lim- X-2 2-x (d) x' +6x +9 lim x+3

A: a) limx→ -6 x2-36x+6 =limx→ -6 (x-6)(x+6)x+6                     ( using factorisation              ...

Q: Use the limit comparison test to determine whether the series converges. 7h +5 The series converges ...

A:

Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

A:

Q: Question 1: Differentiate the functions. 3 a) f(x) = 1– 5x +x7 b) f(x) = (x³ + 4)²

A:

Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 7k-1 k=1

A:

Q: x4 + 2y = x2 – x +1 y(1) = 1/2 dr

A:

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 The series converge...

A: The given series,      ∑k=1∞87k+5

Q: Question 7 Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 2e...

A:

Q: 3 x2 dx 4

A:

Q: dr if r =Vs+1 and s=161-20t . dt 1. Find -

A:

Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) - , evaluate the new int...

A:

Q: Question Define R as the region bounded by the graphs of the function f(x) = x – 1, the x-axis, x = ...

A:

Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

A:

Q: -to determine if the sequence {ne"} is strictly increasing or strictly decreasing. An an+1 Use the r...

A: 1st we have to find an  then we have to find an+1 . Then by ratio we may find it's increases or decr...