Evaluate sin (44o) + cos (29o) using differentials. Refer to special triangles.

Q: 1. Using double integrals find moment of inertia about the x-axis of the area enclosed by the lines…

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.

Q: explain

A: We will check if the fundamental theorem of Calculus is applicable.

Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

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Q: a. V80.5 ; where: V81 = 3

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Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

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Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

Q: Solve the following initial value problem. f′′(x)=36x^2+30x+8, f′(−2)=−42, f(−2)=−15

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Q: Consider the following. f(x) = x3 – 12x

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1…

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

A: answer is in next step

Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c & d are parametersat…

Q: x2 + 7x – 3 | dx J (2x + 1) (x – 2)²

A: Given problem:-

Q: Two lines have equations L1: (0,0,1) + s(1,-1,1), s e R and L,: (2,1,3) + (2, 1,0), e R. 10. What is…

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Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: Find the equation of the line tangent to 2e"y = x + y at the point (2, 0). Write the equation in…

A: Given query is to find the the equation of the tangent to the curve.

Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: x² – 2x – 1 dx I ( – 1)²(x² + 1)

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Q: Find the average value of the function f(x): 14 over the %3D interval [1, e]. NOTE: Enter the exact…

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Q: C Find the firet order parhal derivohve of fx,y,2). e W y-10y²23+ 43x hCs, t) =° t*In ts) + 32 4,5…

A: We want to find first order partial derivative of the given functions.

Q: C Fnd the firet order parho derivohve of 4.5 f(x,4,2)= e* +y2 1.

A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

Q: 1- Every Boolcan algebra (B, V, A), becomes a Boolean ring (B, +, .) on defining addition and…

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Q: 3e" da V4-e2a

A: We have to find out the integral

Q: Find the Taylor series generated by f at x = a. 1 a = 4 f(x)= x

A: We are asked to find taylors series of the function

Q: 1. a. Show that two lines with direction vectors d (2,3) and d, (6,-4) are perpendicular %3D b. Give…

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Q: On what interval(s) is f'(x) increasing? Decreasing? Explain.

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Q: parhod derivohve of 4,5 43 6- 13

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Q: 24 – 49 dy 2+ 49

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Q: Write the Maclaurin series for f(x) = 2x²e-8x as E Cnx". n=0 Find the first six coefficients. Co=…

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Q: Evaluate the following integrals i. L Ix| e(1+x*) dx -0.5 ii. So x cosh(x² + 1) dx

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Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

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Q: Calculate the trapezoid approximation of 5dx using four subintervals. O T5 = 0.60 O T5 = 0.40 O T5 =…

A: The trapezoid approximation of the given integral is given below.

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: Evaluate the following integrals. (csc 0)(1+ sin? 0 + sin 0 cot? 0) de a.

A: This question is based on indefinite integral.

Q: 4) lim (5x-1 + 1)4x x00

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: 4 4 Use the transformation u= 4x + 3y, v=x+3y to evaluate the given integral for the region R…

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Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2x e dx 4e2a –8e* +5 -

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Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

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Q: describes the position of a particle moving along a coordinate line, where s is in feet and t is in…

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Q: Solve the equation on the interval 0<0<2n. 4 sec 0 +6 = - 2 What are the solutions in the interval…

A: Given, 4sec theta +6=-2 0&lt;=theta&lt;=2pi

Q: Let W = (a + bxr +x? € P: a,b ER) with the standard operations in P2. %3D Which of the following…

A: W is not a subspace of P2 because 0 does not belong in W.

Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solved below.

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &amp;…