Find the derivative of the function using the definition of derivative.

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: Which of the following is a particular solution to the differential equation dx when x = e5 and y =…

A: We are asked to find the particular solution of the differential equation

Q: B a12 16 Havithmetis sequence first tom anas and its hasis r= -2 its seven the termay?? 2-17 O az217…

A: Answer -  a1 = 5 Difference (r) = -2 Find 7th sequence

Q: 1 1+ 2023 x If 1+- then the value of %3D

A: Answer is 2024.

Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: Please answer number 5. And how can we identify what kind of graph is that.

A: Topic:- function and it's curve

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: 5 In(3x) dx sln²(3x) + C

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Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E n(n–1) n=7 1 as a telescoping series and…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Determine Y for y= 5x²(1 + x²).

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Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

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Q: Determine the area outside the black graph given by r(0)=1+7cose and inside the red graph given by…

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Q: the surface generated by revolving about the y-axis the part of the Find the area of 2 curve y = x…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: flt) z (34 -1)° (t²+ 2+ + 4 )

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Calculate the iterated integral. 36 9. )dy dx + 1

A: Given problem:-

Q: region bounded by f(x) = 3- X, y = 0, and x = 1 is shown. /hat is the volume of the solid formed by…

A: Follow next step

Q: Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector,…

A: Let's find.

Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: x2 – 25 dx 7) S-

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: Problem: 2 a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x2 + 6x – 24 6x* + 8x…

A: We need to find asymptote of the given function.

Q: 5-e* 2x

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Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: Eliminate* the arbitrary constants c1 and c2 from the relation y = cje-2* + cze³* у" -у — бу %3D 0 O…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given

Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

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Q: 28 74.6

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Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

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Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi…

A: formula  r2=x2+y2   condition  1<r≤3   for r = 1 r2=x2+y2x2+y2=1 which is equation of circle with…

Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

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Q: evaluat e the fallowing integrais by interpheting them as areas of geome thic Objects la) So (20-4x)…

A: Given problem:-

Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1+e-x

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Q: Find the following. = (3, 5) U = %3D (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: Find two unit vectors in 2-space that make an angle of 45° with9i + 4j. NOTE: Enter the exact…

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Q: 6. For each of the following series determine if the series converges or diverges using the…

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