By taking the derivative of the first equation with respect to b, show that the second equation is true

Q: Find the equation for the parabola that has its focus at (−35/4,−3) and has directrix x=-29/4.

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Q: The region between the x-axis and the curve y x2' 1 ≤x≤2, with density g(x) 11 6

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Q: Entered (2*x)/[(x^2)+(y^2)] (2*y)/[(x^2)+(y^2)] Answer Preview ast one of the answers above is NOT…

A: given function is f(x)=xye-9ythen finding following partial derivatives :--(1) ∂f∂x:- so…

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A: Given query is to find the gradient of the line.

Q: Evaluate the integral. 1₁ w² w² In(w) dw

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: The given function is  y=x2+10x

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Q: Let F(t) = Find f(t)dt fr(t)dt = ([ 1 -5t + 4 , 2 cos(3t), √t-3 (don't include the +C) – 3). >+C "

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Q: .) 2 4x S₁ x² +1 dx

A: To evaluate the given integral

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A: Given query is to find the calories decrease in 4 hours.

Q: (D+ + 5D²+4) y 11 cos (3x +4

A: The given differential equation is: D4+5D2+4y=cos3x+4   So, the auxiliary equation is: m4+5m2+4=0…

Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

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Q: Evaluate [**f(x) dx, where T [*ª* f(x) dx = f(x) = (2x³, -π<x<0 [7sin(x), 0≤x≤ π.

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Q: Example 4. A man is walking along a straight path at a speed of 3 ft. A S searchlight is located on…

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Q: Find the indefinite integral. x7-9 DOT dx 4

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Q: Calc 2, Fall 2022 Problem Set 5 For any series, in order to conclude that it converges or diverges,…

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Q: Convert the equation 8x² - 8y² = 6y into polar form. Express your answer as an equation r(0).…

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Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

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Q: In 10 229ܨ 1

A: Given query is to expand the expression.

Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: а. lim (x,y) + (0,0) 2х* - зу 사 + Ч А

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Q: The gradient of the straight line 3y + 2x = 7 is

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: The given curve is: x2=cy2

Q: 2. Find the complete solutions of the differential equation, = (x + 1)(x + 2), dx 3 and its…

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Q: The temperature of a city t hours after 8am is modeled by the Function T(H) = 70 +19 sin(πtt/12)…

A: The tempearture of a city, t hours after 8 am is modeled by the function,Tt=70+19 sinπt12.To…

Q: 18. Let g(t) = log₂ (At+32) + B. (a) Find the value of A so that g(t) has a vertical asymptote of t…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: If the marginal revenue for ski gloves is R'(x) = function. R(x) = - 0.2x + 60 and R(0) = 0, find…

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Q: he area under the curve y= 3 X over the interval [1, 3]

A: Given query is to find the area under the curve.

Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

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Q: Determine if lim x →3 √x+6-3 x - 3

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Q: The graph of g(u) = - 2u + 2 is given below. + -4 -3 -2 -1 Q Use the limit definition of the…

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Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: The first derivative is given by: f'x=sinx+cosxsinx-cosx For critical points, we will put the first…

Q: 4) -- 6 Quadrant Reference Angle Tan(-) =

A: Reference angle is the smallest possible angle between the x-axis and the terminal side.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A: We have to find the critical oint and classify it.

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: f(x)=x-lnx

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Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t≥…

A: I have solved step by step in detail...hope you will get this solution

Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…

A: The function is given by fx = 2x4, -π≤x&lt;05sinx, 0≤x≤π To evaluate: The value of the definite…

Q: Solve the given LDE using the method of undetermined coefficients. (D2+D-2)y = 2x -40 cos 2x

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Q: Simplify the following: (3q - q-¹)² a. -9q² - 6+q² b. 9q² + 6-q-² C. 9q² - 6+q-²

A: Given query is to simplify the expression.

Q: The number of people P that are contracting a new disease can be modeled by the population virus…

A: To determine the rate at which the disease is spreading

Q: The solution of the D.E. y√√1-x² dy + x√1 – y² dx = 0 is

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Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.