Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.

Q: f(x) = vx – 1 at x = 5 %3D

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Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line? Answer(...

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Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between th...

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Q: From a.b = a.c it may be concluded that b = c. But this is just one of three possible solutions. Fin...

A: topic - vectors other solutions are a=0 and a is perpendicular to b and c

Q: A population is modeled by the differential dP equation dt 0.5P – 0.001p² The population is at equil...

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Q: Find the equation of the tangent and normal to the curve at the indicated point 2. y = Vx² – 9 at (5...

A: We have to find the equation of tangent and normal to the above curve.

Q: 1. S(10x° + 8x7 + 6x5 + 4x3 + 2x)dx

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Q: Use the Product Rule to compute the derivative: Find d/dt ((t^2+1)(t+9)) at t=5

A: To find  ddt[t2+1t+9]    at t = 5 Using Product Rule of Derivatives

Q: (b) Find 7, T, N, and B at the given value of t for F(t) = (cos t)î + (sin t)ĵ – k, t=. 4

A: According to bartleby guidelines I can only answer the first 3 sub questions of the given problem. 

Q: 5. S(-5x-6 + 10x-11 – 20x-21)(x-5 –x-10 + x-20)dx

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Q: sin2t costdt

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Q: +o0 S 13 In n n=1 Determine whether the sequence converges, and if so find its limit. If the sequenc...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. k(k + 2)

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Q: 8r*- V Let y=f (x) + C be the antiderivative of F (x) =- determine the value of C (use 3 decimal pla...

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Q: Let f(x) = x(x-4). (a) Find the critical numbers of the function f. (Enter your answers from smalles...

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Q: Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal places, ans...

A: This question is based on antiderivative of function.

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. Show all work! 2x 1 lim X...

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Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:           sin(c...

Q: Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given:       ∑k=1∞1kk+2  The series converges. Rewrite the term:       ∑k=1∞1kk+2=∑k=1∞-12k+2+12k

Q: Let f(x) = (x – 1)-2 Show that f(0) = f(2) but there is no number c in (0,2) such that f' (c) = 0. W...

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Q: (d) Find the coordinates of the inflection point. Hence state the intervals for which the curve is c...

A: A graph is given in the questionx-intercepts: -1,0, 1,0, 2,0y-intercept: (0,1)

Q: goneral the different equatón of (i'ela_ y) de o xydy .o find the so lution of +

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Q: The total cost of producing x items is given by C(x) = 246.73 + 5t dt. Find the fixed cost and the m...

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Q: Evaluate the integral. HINT: [Use a shortcut.] 7x dx lo x2 + 5

A: ∫037xx2+5 dx

Q: 3 In a community in which R elderly people and people with comorbidities are susceptible to a partic...

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Q: dx Evaluate: Jo JA4-x² ' o V4- O 1/6 O T/2 T/3 O None of the choices ООО О

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Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x? ...

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Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the platea...

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau i...

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: Given:  fx=24+x4 Anti derivative is also called Indefinite integral.   Thus,          ∫f(x) dx=∫24+x...

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or...

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Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Topic:- application of derivatives

Q: du FORMULA Answer 10. | Vĩ csc(xVx) cot(xVx )dx cối ud

A: Given: I=∫xcscxxcotxxdx  ...1   We know that; ∫c·fxdx=c·∫fxdx, where c is constant. And ∫cotxcscxdx=...

Q: 41. If f(x) = x²/(1 + x), find f"(1).

A: 41.f(x)=x21+x

Q: The number of wiretaps authorized each year by U.S. state courts from 1990 to 2015 can be approximat...

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Q: Σ k! k=1

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Q: 2. The figure below shows the graph of a function over a closed interval -2,3. At what domain points...

A: Here, from the given graph we can say that function has a jump discontinuity at x=0 and removable di...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: 5.) y3 x+ at a point where x 3

A: A detailed solution is given below

Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

Q: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1 (a...

A: A detailed solution is given below

Q: To evaluate the / sin-(x) + sin(x) cos2(x) -dx using basic formula of integration (without using sub...

A: We need to find values of f(x).

Q: ove that the Solutm f y+ y = y CX) = A CoJ X + B sinx (hint y by using Bessel's Functron defin

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Q: Use the difference an+1 an to show that the sequence - {n – 11"}=1 is strictly increasing or strictl...

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Q: Cosx 3. 3 cos r - 5 d.r, Use z = tanr |

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Q: "Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,...

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Q: Determine wheter each of the following functions is (a) continuous (b) differentiable. Show a comple...

A: Topic:- function