Q2/ Find the distance between the point of intersection of the lines A & B and the point (4,-2), then find an equation The straight line crossing the point of intersection and whose slope is 5-? A 2x +5y- 2 = 0 B → 7y – 5x + 4 = 0

Q: For the following function, find the value of (a) f( – 3) and (b) f(4), if possible. x2 -1 if xs0 y ...

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Q: Solve the inequality, and write the solution set in interval notation If possible. Write numbers as ...

A: Given:- -3≤3-|2i+8| To find:- solution of given inequality

Q: f (x) = X+1 X-1 g(x) %3|

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Q: Which among the following illustrates the limit of an identity function? O lim z = 2 I+2 O lim z = 2...

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Q: Find a singular value decomposition (SVD) of the matrix: 3 2 2 H = 2 3 -2

A: Given Matrix is  H=32223-2 Then SVD of H is given by: H=UDVT Where, U=Matrix of the orthonormal eige...

Q: T2 - I + 11 Given the function f(T) 5x7 + 3 lim f(1) appears to be I- + 00 O DNE lim f(T) appears to...

A: The given function is  f(x)=x2-x+115x7+3

Q: Exercise 3.2.6 For the following matrices, determine if they are invertible. If so, use the formula ...

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Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

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Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: which of the functions below is the best representation of f'(x) given + that f(x) = x³ %3D O a. f'(...

A: Given query is to find the derivative of the function.

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y? = 2x + C. y...

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Q: Find (f o g)(x) and (g o f)(x). 8. 10x) = 5x² - 3; g(x) = = %3D (fo g)(x) =| (Simplify your answer. ...

A: Given that f(x)=5x2-3,    g(x) =8x. We have to find f∘gx and g∘fx. Now, f∘gx = fg(x)         and    ...

Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

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Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power rule;ddxxn=...

Q: xlnsinx?dx To evaluate using Gen. Power Formula, we let u=Insinx2 tanx2

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Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

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Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: Consider the function f(x) = Complete the table below and sketch its graph. |-2 -1 -0.5 -0.1 F(x) X ...

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Q: Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal place...

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Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: MY NOTES ASK YOUR TEACHER he displacement of a particle on a vibrating string is given by the equati...

A: Topic:- application of derivatives

Q: sketch a possible graph of a function f that satisfies the following conditions: i) f'(x) > 0 for x ...

A: topic - functions

Q: Answer the following True or False: d. (Бл? + 2т + 8) d. sin a Since 10x +2 and cos T, the chain rul...

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Q: Determine convergence or divergence

A: Given that: ∑n=2∞1n(n-1)

Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from t...

A: NOTE: Refresh your page if you can't see any equations. . factor out x2

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

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Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...

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Q: Let f(x) 5 sec(4x) f'(x)

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Q: A 15 ft ladder leans against building so that the angle betweem the ground and the ladder is 70°. Ho...

A: Given problem is a model of right triangle. Here, theta= 70° Hypotenuse=height of ladder= 15 ft Heig...

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

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Q: The equation of the curve is y² = x³ + 9x. Find the x-coordinates where tangent lines are vertical. ...

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) f has a relative minimum at x= b) f has an inflection point at x= c...

A: Given; Let f(x)= -6x4 +8x4 +72x2   a) f has a relative minimum at x=  

Q: 5. f(2)=-_? 2x+4 %3D 7. _*+1 * +x+1 f(x) = - 2. 9. 2-4x+3, x#0 f(x) = x=0

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Q: If g(x) = 3x2- 4x +5 ; G(x)=x3 – 2x2+ 5x , then G is the anitiderivative of f . A) True B) False

A: Let's find. 

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify...

A: Apply integration to find the area of the region

Q: (-1)" 6. (0.999)" n=0 M:

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Q: Assume that p, q : S' > → R are continuous and p + 0. Find all solutions of the differential S1 equa...

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x. (Use ...

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Q: 8 sin() Σ n2 mstl n=1

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −3.2,...

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Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: с) dx + 8 (x) dx A) True B) False

A: We have to solve TRUE/FALSE

Q: Let w(x, y, z) = x + y+ z where x = sin( 9t) , y = cos( dw dæ dy by first finding dt dz and using th...

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not o...

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Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

Q: Solve the initial value problem for y as a function of x. dy x² + 121) 3 23, у(11)%3D0 dx The soluti...

A: Topic:- integration 

Q: Find the following using the table below. 1 2. f(x) f'(r) 4 2. 3 4 3 2 4 3. g'(x) 4 3. 1 h'(4) if h(...

A: Topic:- function and it's Derivatives

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: The solution of the differential equation     D3(D−2)5(D2+3D+4)(D2+5D+1)3y=0 contains how many arbit...

A: use the roots of homogeneous differential equation.