Let f(x) = 5x + 20x². Then the equation of the tangent line to the graph of f(x) at the point (2, 90) is given by y = mx + b for т — and b =

Q: Find 7(t)dt if 7(t) = (2 cos t, sin t, 2t). A. (2-1.) B. (2.0,) c. (2.1) D. (2.2. ) 2, –1, 2,0, E. n...

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Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: Determine the area that is inside both r=3+2sinθ and r=2

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 1.6 -2.34 5.7 and B = 5.3 0 A = \ 44.9...

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Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

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Q: Determine (without solving the problem) an interval in which th solution of the given initial value ...

A: 16-t2y'+5ty=7t2 , y(-7)=1 ⇒dydt+5t(16-t2)y=7t216-t2 16-t2=0⇒ t2=16⇒ t =±4  

Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū ...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. in an = sin (Use...

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Q: 23-24 Verify the linear approximation at (0, 0). 23. e" cos (ry) ze+1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

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Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1. %3D Provide your answ...

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Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

Q: 2x 26. Evaluate / sec (= tan 5 dx and determine its particular antiderivative whose y-intercept is 2...

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Q: Solve the given initial value problem. 2ry + y2 2x2+3xy dy y(1) = - 2 dx Oy + y = -4 Oy + xy³ O xy +...

A: Given problem:-

Q: So* - y-³) dy 2.

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Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: Which of the following is not true? Of imit of f(x) as x approaches a is Land f(a)-L, then f(x) is c...

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Q: ADDITIONAL ACTIVITIES A. Calculate the following. Write only the answer 12! 1. 5!-3! 4. 4!(10-1)! 3!...

A: According to guidelines we solve only first three parts. So, again upload 5th question. Thank you. 

Q: Find the gradient of f (x,y,z) = e^(x+y) cos(z) + (y+1)tan^(-1) (x) at the pint (0,0, pi/6) Alternat...

A: The function is given by fx, y, z = ex+ycosz+y+1tan-1x The point is x, y, z = 0, 0, π6 To evaluate: ...

Q: The figure below shows contours of g(x, y) on the region R, with 3 < x < 9 and 2 < y < 8. 8 -1 6 1 2...

A: Let's find. 

Q: A company's Marginal cost function is M(x) =6x and the fixed cost is Php 1000. Find the cost functio...

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Q: c. Let P(x, y) = y² + sin¬1 x² and Q(x, y) = 2xy + 4x. Suppose that C is the parallelogram with vert...

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Q: Evaluate the following limits. (b) lim v9r² – 5x + 3x

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Q: 1 g) E 2п-1 n=1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

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Q: ,7x+4 dx = хе

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of Alg...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

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Q: dy Write down a differential equation of the form dt = ay + b whose all other solutions diverge from...

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Q: There is an infinite discontinuity at x = 0 and f(0)=-2

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Q: Eliminate c, x'y =1+ cx (2+x3y)dx + xdy = 0 B (1+x?y)dx + x³dy = 0 © (1+x?y)dx + x²dy = 0 D (1+x3y)d...

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Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

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Q: ーX- 3, -3x2 + 2x - 3, x> 1 x< 1 f(x) = %3D Determine which of the following statements are true. Sel...

A: We will find left hand limit (L H.S.) and right hand side (R.H.S).

Q: Find the inflection points of each of the given curve.  4y = 3x4 – 16x3 + 24x2

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: 2. Let g be the function whose graph is shown below. 3 2 1 y = } -1 -1 (a) Evaluate lim g(x), lim g(...

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Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution. 

Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...

A: The given series,       ∑k=1∞k33k

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Find your answer below 

Q: I-4, I 2 %3D undefined b. 2 x C-2 d. does not exist

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Q: (2y sin a cos x – y + 2y²e#v° )dx – (x – sin² æ – 4xye*v* )dy = 0 Let M be the coefficient of dr and...

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: 2x -dx e* +1 Evaluate the integral of A e*- In(e*+1) +e B '+ In (e* + 1) + c © e*+ In(e*+1) +c D In ...

A: Given problem:-

Q: A trough is 40 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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