Consider the function below. x2 f(x) : x2 - 25

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

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Q: B 5ex - In |x| + C

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Q: What is the point of intersection of the following line and plane: line: 7 = [3, 1, 2] + t [1, – 4, ...

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Q: Identify the vertices and foci of the hyperbola with equation x2 = 1 92 402 The vertices are The foc...

A: We will find the vertices and foci. 

Q: (

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Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: Question 2 Find the left-hand and right-hand limits of the following functions and check whether a l...

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Q: 5: Solve the following differential equation, seo de 1 dx %3D 1 ,x(1/2) = 3 x2 csc e

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Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A: We can answer both the questions as below

Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: Find the area bounded by y = 2 -x squared and y = x A 9/2 7/2 5/2 3/2

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Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

Q: Write an expression for the apparent nth term (an) of the sequence. (assume that n begins with 1.) ...

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Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the ...

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Q: pls solve the differential equation (2y^2 + 2y + 4x^2)dx + (2xy + x)dy = 0; when x = -1 and y = 0

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Q: Please do 1 and 7

A: Topic:- geometry   

Q: The graph of a function y = f(x) is shown. At which point(s) are the following statements true? (Sel...

A:     f'(x)=0 at A' and D.At A, f'(x)<0, f''(x)>0At B, f'(x)>0, f''(x)>0At C, f'(x)>0,...

Q: 1. |x² In x dx; u = In x, dv = x² dx 2. 0 cos 0 de; u= 0, dv = cos 0 d0 %3D

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Q: 10. The value of China's exports of automobiles and parts (in billions of dollars) is approximately ...

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Q: 2 dx 9-36x²

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Q: 2 ア=x,y=2r

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Q: Write the following in the "if" and "then" form 1. Eighteen-year-olds are eligible to drive. 2. A r...

A: If and then statement

Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

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Q: Use the following information to find C and rewrite the solution to the initial value problem. y' +y...

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Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: I. Given the following functions, make a table of signs for f'. Also indicate when f is increasing a...

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Q: C. 2 dx dy

A: Given 

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection. Sh...

A: Slope of the tangent is obtained by dy/dx 

Q: Convert en extay?) JA O ver the region Q4. polar form and e to e Valuate let y= 7sino dA = rdrdo How...

A: ∫02π∫1e 2ln(r)(dr)(dθ) here we apply the ∫u*vdx rule ∫u*vdx = u∫vdx - ∫du/dx∫vdxdx so here 2lnr u = ...

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

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Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

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Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: Vaix+ Vqx dx

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Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative. 

Q: ii) h(x) = e values for the functions along the interva

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Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

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Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: Draw the slope field for Y - 2y dx

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Q: 2, A drone is flying at a level altitude of 20 meters struight toarards an 06server on the ground. I...

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

Q: path. How fast is the tip of her shadow moving when she is 35 ft from the base of ed of 4

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Q: (Зл — 1)" 5n /n +1 n=1

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation: 8...

A: To find out the vertex and focus of the parabola.

Q: Determine the equation of the plane that contains the lines Li and L2. L:x = 3 – t, y = 5+3t, z = -1...

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

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: 4. S sec*(8)dx

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