1. Given r(t) = 2 cos t i + 2 sintj+ 10tk; 0

Q: Determine the curvature of the graph of 7(t) = (2 cos t) î + (3 sin t) ĵ at the COS point (0, 3) (th...

A: Follow the procedure given below. 

Q: 1. lim f(x) = -1 and f(1)DNE %3D

A: In this question , we make a graph. when x tends to '1' , f(x) tends to -1. and f(1) does not exists...

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x) = - 7x. a) Find the domain of f, g, f+g, ...

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Q: A spherical balloon is being deflated. The radius is decreasing at the rate of 1.4 cm/sec. 1. How fa...

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Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

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Q: Obtain the differential equation of the following by eliminating the arbitrary constant(s): 1. xy+ x...

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Q: Subtract in the indicated base. 10024 3224 10024 3224 4

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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Q: When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. Wha...

A: Finding the inverse of a relation: Let's say the relation given by the function f(x)= x+a Where 'a' ...

Q: es 5*+1.In5 +C %3D 5

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. es 7 1 f(x) = g(x) =...

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Q: For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each. 1-X f(x) = 4x , g(x) ...

A: topic - composite functions

Q: Use the method for solving Bernoulli equations to solve the following differential e + 7y = e*y¯? dx...

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Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: On what category of Methods in finding roots of nonlinear equations does the Newton-Raphson method f...

A: Topic:- calculus

Q: Find the derivative of the function. simplify where possible: 30) y=(x*cos^-1(x))-(sqrt(1-x^2))

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Q: Question 17 Complete the integration: Determine the value of "?".

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Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: (2) = 3y² – y² sin x dx (3) (x² + 1) = y² + 1 %3D dx

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Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: If z = x2 - xy + 8y2 and (x, y) changes from (1, –1) to (1.03, –0.95), compare the values of Az and ...

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Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

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Q: lim g (y) where, g(y) = Sy? +5 if y -2

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Q: Given the differential equation y" - 6y' 16y = 5x 2 Find the Characteristic Solution for the Left Si...

A: We have to find out the characteristics solution

Q: Three numbers are in the ratio of 2:5:7. If 8 is subtracted from the second, the resulting numbers f...

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Q: Miscellaneous Operation on Complex Numbers 1.-22+1 2.(2 + i) 3.cos h(i)

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: 6 Find the Maclaurin series for f(x) = %3D 1+x

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: %3D In this exercise we want to us I sin(z) cos(c) dr Tp (I)SO Hint: Preview My Answers

A: Topic:-: integration

Q: f'(x) = Compare the graphs of f and f' and use them to explain why your answer is reasonable. f'(x) ...

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Q: 21. cos x cos 2x + sin x sin 2x

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Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find the point on the graph of z = 2x^2 − 3y^2 at which vector n=⟨8,−12,1⟩ is normal to the tangent ...

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Q: H (0) = tan(0) is a transcendental function. O True O False

A: we have choose true / false and explain

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of poi...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x? + y?, the cylinder x? + y? 5, and the...

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Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: (x³– x³ – 6x) dx 3. x²+2

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Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

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Q: つt E sinx+C c) つtve-us つtとX-tu(u 1- CoS 3> (0 とuse -In Sa-x² tc 1) AEvaluate valvate

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Q: 2. /v x 10 – 3x6dx

A: Given query is to eveluate the integral.

Q: Functions A function value and a quadrant are given. Find the other five function values. Give exact...

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