- Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e'V5)i+…

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: To find the limit.

Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

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Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: "Definite Integrals" 1. sin | COS dr -

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Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: 1. lim (6x + 1)cotx

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Q: f'(x)=-+e2* +x² and S(1) =. Find f(x) Given %3D

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Q: For each natural number n, the expression 2* – 7n - 1 is divisible by

A: Concept: Mathematical induction: Mathematical induction is a mechanism for proving a statement,…

Q: sove the focowing using Lagrange Multiptiers: Maximi ze flx, Y, 2) solaject to x2 + y + 22 =1 Ax +…

A: Method of Lagrange Multipliers : 1.) Solve the system of equations .…

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

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Q: Given a right circular cone with an altitude of 5 cm and a base diameter of 8 cm. If the diameter is…

A: volume of cone =Πr2h/3

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i…

A: The Solution is given below

Q: Phi Ms. Kaye of the Lakwatsera tours offers a group rate of Php 24000 per person for a week in Cebu…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A: Solution is done in step 2

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

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Q: The volume of the solid of revolution obtained by revolving the region enclosed by the x-axis and…

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Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

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Q: Question 8 Let y = tan find the differential dy of the function. O dy = e* (x² – 1) sec² \ e*"-1 dæ…

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And ddxtanx=sec2xddxex=ex…

Q: 4. Let z = x2+y, x 2st, y = s - t2, s = u", and t = usin w. Compute for

A: To find the partial derivatives using chain rule

Q: Solving bernoulli differential equatioA 27 Xp 2X 2Y

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Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

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Q: Please

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Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.

Q: 3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly…

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Q: 2. The demand and supply equations for a commodity are given below p = 245 – 5x Demand equation p =…

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Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: Write a in the form a = a-T+anN at the given value of t without finding Tand N. r(t) = (2t + 3)i +…

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Q: Q2: Evaluate o o" y*(x² + y²)dx dy 1 cV1-y? y² (x? + y?)dx dy

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Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

Q: Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O.…

A: Topic = Integration

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

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Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

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Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: Topic on Application of Integration - Area. Find the point/s of intersection of the graph and draw…

A: Here point of intersection of the line y=0 and y=x2-4 is put y=0 x2-4=0x2=4taking square root on…

Q: To-42 5-2X-3 (6z) odz dy oe aly de

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Q: Q.1) The general solution of the equation y e' cosA a) y(t) =c, +c; x +c,¢ ' de' cosa Re' sinx b) y…

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Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits

Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: P(x) = 23x – a?. %3D

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Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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