x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t)

A: This is a problem of vector. By using concept of unit tangent vector we will solve B(t) vector at t=...

Q: QUESTION 10 Suppose the graph of f(x) =r2 is reflected across the x-axis and shifted to the left 6 u...

A: Given:  f(x) = x2 

Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

A:

Q: dx x3 3x². -8(y + 1) = 0 dy y+1

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

A:

Q: Given w = xysin(z*), x=s-t, y = s°, z=t?. Use the Chain Rule to find aw - ysin z? + 4txyzcos z? aw -...

A:

Q: From 2000 to 2007, the mean household income in the United States rose by an average of approximatel...

A:

Q: Derivatives y'0 y' 0, y">0 y'>0, y''>0 y'>0, y" 0 y'>0, y"3 .... Choose the correct graph below. 4,

A: topic - curve

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: f(x)=20 ln(1+x)f0(x)=20 ln(1+x)f0(0) =20 ln 1 = 0f1(x)=f'(x) =20 1(1+x)f1(0) =20 1(1+0) = 20f2(x)=f'...

Q: Suppose that the functions fand g are defined as follows. f(x) = - 5x2+1 g (x) = Vx+3 Find f-g and f...

A:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

A:

Q: 5. Given a curve in the following parametric equation: x = 3- 2 sint, y = 4+ 2cos t, 0<ts Then: a. D...

A:

Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: Find the time at which the brine leavir

A: Follow the procedure given below.

Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

A:

Q: 12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the wa...

A: Here we will use the concept of pressure applied on the parabolic surface. Based on the given formul...

Q: The projected percent of a country's adult population with diabetes (diagnosed and undiagnosed) can ...

A: The projected percent of a country's adult population with diabetes can be modeled by y=5.97x0.492 w...

Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

A:

Q: cos(x + y), when x = 0,y = dx

A: Follow the procedure given below.

Q: Determine the force acting on the electric charges q1 = -1.25x10-9 C. and q2 = +2 x10-5 C. that are ...

A:

Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

A:

Q: Assuming that z is a differentiable function of x and y, Let F(x.y.2) = In(x³y) – e" -tan-z. Find F,...

A: We can find the answer as below.

Q: Evaluate by any applicable method. dx 0 x4+1 None of the choices. Please refer to my solution. O tan...

A: We have to find solution of given integral.      

Q: x2 + y2 + 1)dx- (xy +y)dy =

A: Follow the procedure given below.

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200

Q: The price-demand and cost functions for the production of microwaves are given as p = 235-x/30 c(x...

A: Question- The price-demand and cost functions for the production of microwaves are given as   p = 23...

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)-f(x) The differe...

A:

Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

A:

Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic pol...

A:

Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is modele...

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games ...

Q: 4. Зx? 3x+- 8(y + 1) = 0 y+1

A:

Q: * = cos(x + y), when x = 0,y = = %3D dx

A:

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)...

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Q: Part 1 of 4 Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the ...

A:

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: u* + v*)du – uv*dv = 0 1 1 -5 и O Option 1 Option 2 1 1 u5

A:

Q: Answer the following True or False. (a) {1,2,3} is a subset of {3,2, 1, 4}. (b) {3,2, 1, 4} is a sub...

A:

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is...

A:

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)...

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Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 О 12 O None of the choices

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Q: The given integral is e-x x'(-7x°)dx. Let u = -x'. Now differentiate u with respect to x. That gives...

A: The given integral is ∫e-x7-7x6dx.Let u=-x7.Now to differentiate u with respect to x. That gives du=...

Q: (zy + x)dy + ydx = 0 %3D

A:

Q: Suppose the infinite series an is divergent. Then for any constant c, the series n=1 can is also div...

A: This is a problem related to series and sum calculator. Based on the available concept we will prove...

Q: x-8.901 V2.25+X² 2 Find other forms of the equation that are in the form of an equation: X= g (x)

A: we have to change the given equation in the form x=g(x) .

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: solve the equation. (round your answers to four decimal places.) e^2x-8e^x +7=0 x=       (smaller ...

A: topic  - expomemtial equation

Q: a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(A...

A: The solution is given in the next steps.

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the midp...

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respec...

Q: If sin A = - 13 and cos A = 85 84 , determine the exact value of cot A. 85 13 84 84 13 А. cot A В. c...

A: