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Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

A: From the given data: where x is the distance from A to C where the passenger dropped.

Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

A:

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: 1) Find the Taylor series for f(x) = In x centered at 3. Show All Your Work.

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Q: Solve for x: log(x) + log(x + 3) = 2

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Q: ydy -ヌ-9-y 7-8. 2.

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Q: 2. (sec 5x t Csc 5x) dx

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Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: tan de sece + 4 cose COs

A: The integration of the integral is  tanx/(secx+4cosx).

Q: Entered Answer Preview Result 1 1 incorrect The answer above is NOT correct. 1.8 -2 1,0 18 The slope…

A:

Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: 4. General solution of (y2 + xy) dx – x² dy = 0 %3D

A:

Q: 4 p² sinø dpdødo

A: To find the volume.

Q: (m³+2m-1 Find m2) dm

A:

Q: You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4…

A:

Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: 4. S cotx csc'x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

A:

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

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

Q: B. Direction. Find a counterexample for each of the following statements. Show your solution. Write…

A: Solve it

Q: Given the surface 9x^2 − 4z^2 = 9y. 1. Find its traces on each coordinate plane and on the planes…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: 4. (a) (i) Calculate (4 + 10i)?. Answer:

A:

Q: 4. I invented a function B(x) as pictured below. I call it the "Bendy Function." On the same set of…

A: Solution: B(-x) is the mirror image of B(x) on the y-axis B(-1)=B(1)=3 B(-3)=B(3)=1 B(0)=0

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: x2 (x+2)³ In Ix + 21 + 4x+6 4x+6 (x+2)= In |x + 2| – (x+2)= +C Option 1 Option 2 ihk+ 21- 4x+6 In lx…

A:

Q: (MODULE 3& 4) ACTIVITY 1: Determine if the following functions are continuous at the given value of…

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: dy Find dx Given: 3y2 – 5xy2 + 2x +2 = 0

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Q: 4t + 98.6, where T is the temperature, in degrees Fahrenheit, at time t, in hours. 2+1 AT(t) 102+…

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Q: 8. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +…

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Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

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Q: Part A. Evaluate the following limits using L'Hospitals Rule, algebraic manipulation, logarithms, or…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

A:

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: 1 = dx x + Vx

A: We have to evaluate the integral.

Q: I. Show that the function f defined by (r, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x+ y is…

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Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0 %3D

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

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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

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Q: •4 (ii) 2y dy dx.

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given;  Radius=9cm dr/dt=0.4 cm/min

Q: 1. Evaluate (i) dy dx, 3

A:

Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

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

A: Topic:- algebra