evaluate

Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: 7. Particular solution of (D³ + 12 D2 + 36 D)y = 0, when x = 0, y = 0, y' = 1, y" = -7

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Q: 1. [(x²+ ux) Jx3 +1 dx

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Q: tan e de gec e + 4 cose

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Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

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Q: find the Fourier series of the following equation -1<x<0 (-) f(x) = }x 0 <x<1 1<x <3

A: Given

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

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Q: d (7 ln(x)) dx Find

A: Find

Q: 34 Find the measures of both angles a and b in the 41 following figure:

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Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: II. Evaluate each of the following limits. 1-V3-x 4) lim x→2 4-x2 5) lim x→∞ 3 Sin ) 2 6) lim(4x +…

A: We have to evaluate the given limit.

Q: SKETCHPAD Question 12 Find AB given that: 8 2 5 5-4 A: and B =| 7 -3 %3D 16 0 Show all work for full…

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Q: -3 3 sec? 6. dx du =. answer:

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Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

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Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: A. Given f(x) = x³ - 4x2- 4x + 16, find; a. Zeros of the function b. Critical numbers c. local…

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Q: Supply the missing integrand and limits of integration. ... (3x² – 2xy + y³) dx dy = | dy A I (36-4y…

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Q: Find the radius of convergence and interval of convergence of the series. (-1)"-1 – 1)"- . I

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min.…

A: We know that volume of spherical snowball V=43πr3 Differentiate w.r.t.'t'…

Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

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Q: The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

A: This question can be solved using the concept of volume of solid generated when curve is rotated…

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: See the answer below

Q: If f(x) 4 find f'(3).

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

Q: (-1)" Vn

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: (3x-2) dx f x²+ 2x + 15

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Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

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

A: We want to find relative maximum, minimum and saddle points.

Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

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Q: . Evaluate the following: (ey)dy dx A. e -1 2. В e-1 С. 2е +7 D.

A: Given query is to fins the value of the integral.

Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: Convert the point from rectangular coordinates to cylindrical coordinates., (9, 3/3, -8) (r, 0, z) =

A: Cylindrical coordinate - r,θ,z where, r=x2+y2   and   θ=tan-1yx.

Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: 4. Solve the equation: (D² – 3D + 2) y = 2e* + 8 O y = cje2* + c2xe¯* + 4 + e* O y = cje2* + czeť +…

A: Explanation of the answer is as follows

Q: х3—х+1 Find: lim X→0 x2+3

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Q: Find the flux of F across S, F N dS where N is the upward unit normal vector to S. F(x, y, z) = 10i…

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Q: CET *(z + 2) dx dy dz 2. Evaluate

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Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: use derivative  to evaluate the volume

Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform