1 dx O (1+ x)1/4 1.

Q: d (e6) = 6• e5 dx Choose the correct answer below. d (x^) = nx"-1, dx O A. True. The Power Rule stat...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Evaluate the integral using formula 34 (from the 1-page differentiation & integration formula) by le...

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Q: Compute the Riemann sum for the double integral R (8x – 3y) dA, where R = [1,7] × [1,5], for the gri...

A: Given

Q: 2. Find the fourth-order Taylor Series approximation of y = In x² at x = 1.1 on the basis of the val...

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Q: The domain (over the real numbers) of the function f(x) = V5x + 63 is in the form of either (- o, A]...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

A: topic - application of derivatives

Q: function

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Q: x²dx 5+ x2

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Q: Prove that 75+75.175-110-25.882 is 66.06

A: solution

Q: Using the ε − N definition of a limit, prove that  lim n→∞  (6n^3 −2n+1)/(2n^3 + 1) =3.

A: Given the limit function for provinglimn→∞6n3−2n+12n3+1=3

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 x+1 3. lim f(x) = -2, lim f(x) = 2 and f(...

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Q: Express the shaded area of the region shown below by double integrals of order of integration (1) dy...

A: Given: - The shaded area of the region is, To express: - The shaded area of the region is shown bel...

Q: At what point on the ellipsoid x2 + y2 + 8z? = 1 is the tangent plane parallel to the plane x + 2y +...

A: Given :   Ellipsoid : x2+y2+8z2=1 Plane : x+2y+z=1

Q: Кр хр 3. Given the equation below, find –5xy² +2* = 3/y

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Q: Simplify cot e tan e O tan?e 01 O cot?e ||

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Q: 4. [csch(x)] = -csch(x) coth (x) dx

A: we know thatdifferentiation of cosh(x) is sinh(x) and vice- versa

Q: Consider the series 00 Σ n3 n=1 1 Is it possible for this series to be conditionally convergent? a. ...

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Q: 7. What is the value of A. -4 B. C. D. 4 -lei

A: 7. we know that        a-n  = 1anlet x =12-2x = 1122x = 22x = 4OPTION:D

Q: 4. Are the following functions cubic splines? a. f(x) - x- 2x + 3, 0 sxs 1, - 2x - 3x2 + x + 2, 1 s ...

A: Given :(a) f(x)=x3-2x+3, 0≤x≤1             =2x3-3x2+x+2, 1≤x≤2(b) f(x)=5x3-3x2+1 0≤x≤1             =...

Q: A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is t...

A: Given:     Volume = 516π 

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = V9r + ...

A: Given:       fx=9x+5 at x=1  Instantaneous rate of change :    If y=fx, the instantaneous rate of ch...

Q: 5. Let a = (-2, 3, 5) and b = (4, 6,-1) define the sides of a parallelogram as shown below. Dotormin...

A: Area of parallelogram

Q: find solutions of these differential equations: a. (xy^2 + y − x)dx + x(xy + 1)dy = 0

A: Given differential equation is (xy2+y-x)dx+x(xy+1)dy=0 Find the general solution of the DE

Q: Consider the following table of values of f(r) = e". %3D 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Ap...

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Q: 4 1/2 - 3 Find k' (x) if k(x) = e Sorry, that's incorrect. Try again? K(x) = I

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Q: 1. Find the equation of the parabola given the following parameters and draw the graph of the equati...

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Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the se...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Find the derivative of the following. f(x) =In(tanx) h(x)= cot- tanx

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Q: 3 is a local extrema of the function f(x) = (x – 3)5 +1. Select one: O True False

A: fx=x-35+1

Q: Evaluate the following. 3. lim (x³ + 3x² + 1) X-2 4. lim v2x +5 X-2

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Q: Consider the series 00 (-1)" n=1 Use the drop-down menus to complete the following statement. 00 00 ...

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Q: W) = 3 = 1, x2= 3

A: Given: f(x)=43x-1; x1=1, x2=3

Q: 2. S dy 3ylny/9ln²y-25

A: To evaluate the integral: I=∫dy3y ln y9ln2y-25...(1)

Q: Scos"x - sin"x) dx X.

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Q: 5. Use the figure below to answer the question. 10 in. D. A ABC is equilateral and each side measure...

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Q: Find the domain and range of the function graphed below.

A: here by the graph we have seen that th x intercept is (-2,0) and the y intercept is (0.4)   the doma...

Q: Given P = R³S°T°.5 + R0.5 S sin(2T), what is as O 2R³ ST0.5 +R-0.5 sin(2T) 3R ST0.5 + 0.5R-0.5 sin(2...

A: In this question,taking other part as constant and differentiate with respect to s. 

Q: 15 tind the voleime of the solid senerated by revoling the following region about the y-axis, The re...

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Q: Compute the following limit. 2x-3 as x approaches o x-3 O 2 3 4 1

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Q: A person starts walking from home and walks: 5 miles East 4 miles Southeast 3 miles South 3 miles So...

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Q: Compute these integrals: dz 3114

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload...

Q: given the funchon go=co x3+27x +36X g (x) = 18X2+54 X+ 36 %3D g"M) = 36X+ 54 g"(-2)= -18 IS graph of...

A: Given query is to find the behaviour of the graph at x = -2.

Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection wi...

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Q: |X - 41 2) + 2 <0 IX + 31

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Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable lim x->0 ,...

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Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the firs...

A: Let's find. 

Q: Let f (x) = x³ + x². a) Find a point c satisfying the conclusion of the MVT for f(x) over the interv...

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Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second der...

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