If f(r) = 4x? 3x +5, find f'(- 2). Use this to find the equation of the tangent line to the parabola y= 4r2- 3x 5 at th

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Q: 5. Using an Elliptic Paraboloid as a Reflector. Instead of being used as a receiver like a satellite...

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Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The graph of P(x)= a (x-b)(x+1)2(x-2) passes through (0,6). The value of b in the terms of a, is?

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Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

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Q: Given the equation sin x cos I dx If you integrate the given equation, the answer is cos cos + C %3D...

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Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

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Q: 8x+5<15

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Q: Use l'Hopital's Rule to evaluate the limit. cos 3x - 1 x2 21) lim x-0 A) - C) 0 D en len

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Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: 14 70 and * >0, then x >4(0). which theorem supports this statement If a >6 and c> o, then c9 > c6. ...

A: Let a,b,c ∈ R , where R is set of positive real numbers. It is given a&gt;b and c&gt;0, it can be wr...

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: y" + 2y' + y = te-t (s² + 2s + 1) y(s) 1 1)y(s) = (s² 1 + 2s + 1) y(s) = (s + 1)? (s + 1)* A.) В.) 1...

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

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Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

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Q: x^2y' + xy = 2 + x^2

A: x^2y' + xy = 2 + x^2 write the final answerin terms of x and C combined equated to y

Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x - ...

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Q: y" +y 4 Sin x 3 = 2X ナ

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Q: P3.A: Find the area bounded by the curve y = (x - 2)(x + 1)(2x – 1) and x-axis.

A: Given:      curve y=x-2x+12x-1            

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx = 12+36

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Q: Consider the following function. 9(x) = x2/3 (a) If a + 0, find g'(a). g'(a) = (b) Illustrate that y...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: We have to find the differential equation that models the system.

Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B....

A: find the magnitude for finding the unit vector.

Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

Q: 3) Write the equation of a circle that models the shock wave ( seismic wave) from an earthquake, 30 ...

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Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

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Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Find an equation of the tangent ine to the function y 4at the point P1, 4) Solution We will be able ...

A: We will use point - slope form to find equation of tangent line to curve through given point

Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

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Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

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Q: 6x Σ. Suppose that (7 + æ) n=0 Find the first few coefficients. Co = C1 = C2 C3 C4 Find the radius o...

A: Given that 6x7+x=∑n=0∞cnxnfind the first few coefficientsand Radius of convergence R

Q: Which of the following vectors is a unit vector 6 = (1, –1,0) B. ā = (1,2, 3) 1 C. č = -2 1 võ' võ' ...

A: Given query is to find the unit vector.

Q: Now evaluate in terms of Gamma function: I=/,"y° V5? = y² dy /2 =,* (b sin0)³ Vb² – b sin² 0 b cos0 ...

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Q: Find the direction angles of the vector & = (2, –1, 3) %3D A. a= cos В. (쓸) (뿌). (2). С. G), 8= cos ...

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Q: |(cos? x – sin² x + 1) sin x cos x dx

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Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal notation...

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Q: Which of the following vectors is parallel to the vector i = (3, –12, – 9)? А. а — (1,—4, —3) B. 6 =...

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Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as P(x)=(x+a...

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Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

A: We have to find the equation of circle.

Q: Find the normal vector for ř(t) = (3t, sin t, cos t A. Ñ(t) = (0, sin t, – cos t) B. N(t) = (0, – si...

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Q: 2. The rate at which a phase transformation proceeds depends on the time t and the dt transformed vo...

A: Rate of Phase transformation is gievn bydydt=4kt3(1-y)We need to find y as function of t.  

Q: Slope of the normal to curve xy-3x+2y=1 at (3,2) is? Please solve it in steps! Grade 12.

A: Find slop dy/dx=m

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: 3 sin (t) cos“ (t)dt

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