1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

Q: Complete the identity. sin(@)=

A: Trigonometry identity

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 34 cm to a length ...

A:  4 J of work is needed to stretch a spring from its natural length of 34 cm to a length of 48 cm. (a...

Q: PAPER 1 4. INDICES AND SURDS N2014 page 25 (a) Solve the following simultaneous equations. 5* 25-2 =...

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Q: y = log , (42** + 3)

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

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32

Q: earthquakes have Richter scale readings )anda - log at E,- 1000E, show that M,-M, =2 w that M-le A c...

A: In this question we will use basic concepts of calculus i.e concepts of logarithm. We will use prope...

Q: y(8y² –5)dy 4y* –5y² +5 *(0–4)de (0+5) (x+e*)dx 1. 3. v tan v*dv 4. 5+31ncosv* 2.

A: To evaluate the given integrals.2 ∫θ-4 dθθ+523 ∫x-1+exex-ln1x dx

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = f'(x) =

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Q: x*dx + y C x-) dy =0

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Q: Solve the following and show your complete solution Find Taylor Series Expansion and Compact form of...

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Q: For the differential equation 2xdy + (4y - xy) dx the substitution z= -2 converts it to which of the...

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Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: Which Riemann sum represents the illustration shown? 3 6. 3 X; · Ax¡ 3 i=1 Xi Ax; 3. X; - Ax; 1//3 2...

A: Given÷

Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to wit...

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Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply. Nutri...

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Q: 13t 2) cot – 3 23т 4) sin - 6. 10t 6) sin –- 3

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: 3 sin (t) cos“ (t)dt

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Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: 103Since 103 is prime number.Therefore,

Q: A counter that charters a boat for for tours can sell 300 tickets at $25 each. for every $5 increase...

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Q: Given the differential equation: y" + 3y'- 4y - Propose an appropriate particular solution O Up = (A...

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Q: To make a potato salad, a chef cooked some unpeeled potatoes in boiling water at 100°C. Once the pot...

A: The correct answer is option (A) i.e. t = 11.4 minutes

Q: Simplify the product. V3• /27 V3. V27 =O (Type an exact answer, using radicals as needed.)

A: This question is based on simplification of root.

Q: Determine the curvature of 7(t) = (t,t“, t°) V36t4 + 9t² + 4 K А. (9t4 + 4t2 + 1) V36t4 + 36t2 +4 В....

A: We have to find curvature of vector r(t).

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the constant of ...

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Q: 13. The sum of two numbers is 37. If the larger is divided by the smaller, the quotient is 3 and the...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Which of the following differential equations is exact? O (sin æ – ycosy) dx + (xcosy – sin æ + y) d...

A: The solution of differential equation is written in step2and 3.

Q: Given the differential equation D(D+3) (D+ 1) (D+ 4) y = 0 how many initial conditions are required ...

A: We know that nth order differential equation should have at least n initial conditions in order to g...

Q: Subtract. Simplify by collecting like radical terms, if possible. 7/7- 11/7 7./7 - 11/7 =O (Type an ...

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Q: x² – 3y + 3 = 0 2y + x + 2 = 0

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Q: I. The Derivatives: Perform long method. 1. v = Ja2 – y? 2. x = 3t2 - 2 Vt

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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: 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>b and c>0, it can be wr...

Q: Find f'(a). f(x) : Vx + 9 f'(a)

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Q: Tan -30  find the exact value of each trigonometric function

A: The given trigonometric function is: tan(-30)

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: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

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Q: Find the exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: solve the differential equation: y' + (4/x)y = x^4

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Q: If x > 0 and 4 > 0, then 4x > 4(0). Which theorem supports this statement?  A.) If a > b and c > 0,...

A: Given :                 X&gt;0  and 4&gt;0 -----------------------------------(1)                 th...

Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО) c...

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Q: x5tan(x²) sec²(x²) dx

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Q: If the Laplace Transform of F (t) = Vt3 is 3 T , what is the Laplace Transform of 5 4s 2 F (t) = e' ...

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Q: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789... ration...

A: The given number is: 3.789778977789...