4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10 How many possible solutions does this triangle have? abeen an

Q: 2+ In² 1 dx. 4. Evaluate the integral x – x ln x (a) 3 ln |In r – 1| + 2(ln x – 1) + (In x – 1)2 +C…

A: To find out the integration.

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A: To evaluate the given integral

Q: 1-x2 So Si S dz dy dx 0. 0.

A:

Q: Find the sum of the convergent series. 1.6

A: Gp

Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e Y (x? +y?) +…

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Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: We need to nd which set is more dispersed.

Q: 2* lim x→0 x²

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: 100 dx 4.

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: -dx x2 +9 I x3 +ar-23 ton- (특) +C a. 3 b. 1 x³ t qx + 27 tam " ) + C b*3-9*+27€an )+c C. d.늘-9x- 2구…

A: Using substitution method, integration is done.

Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

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Q: 18 C. Solve as indicated. 4. A car costs Php 800,000. Find its value after 4 years if it depreciates…

A: car cost Php 800000 value after 4 year = ? per year depreciate is 20% 800000*20/100 = 160000…

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

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Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

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A: We have to choose the correct option from the given options according to the given information

Q: 4s + 12 s2 + 8s + 10 4e -4t – 4te -4t 4e4 + 4te4t Option 3 Option 2 -4t 4e + 4te¬4t

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Q: y=v16-x 2.

A: This question is based on application of integration.

Q: 2x determine the derivative of f(x) = 3 X

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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: 1. S-7e*dx 2. S(2ex – 6*)dx S(3)dx 3.

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

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Q: dx Evaluate the integral 7+6x – x²

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Q: Find the velocity and acceleration vectors in terms of u, and ug- do r= a(7 - sin 0) and =7, where a…

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Q:

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

A:

Q: Use the Linear Approximation to estimate Af for f(x) = , when a = 2 and Ax = 5+x2 (Use decimal…

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Q: L. Find the point/s of intersection of each of the following figures given below, draw the element…

A: Given: Now find the point of intersection between the curve y=x2+2 and the line x=2. y=x2+2 ;…

Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

A:

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: 1 (b) 352+5s+1 (d) 3 (c) 5s+2

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Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

A:

Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

A:

Q: cal | a*(a³ + 3)/4 dx. (+3)/4 dx. 4

A: integration

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

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

A: Here, the given that z is a function of x and y with: tanx+y=ez2⇒z2=ln tanx+y...(1)

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A:

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: se' z = st. Solve for dz IV. Let w = x ln x + 2xyz + 5z°y, x = tan s + r, y =

A: Given problem:- Let w = xln(x3) + 2xyz + 5z3y, x = tan s + r, y = (set )/r, z = st Solve for partial…

Q: 2. Evaluate the integral / 2 (a³ + 3)/4 dx. 4 4 (a) 5(23 + 3)/4 + ( +3)5/4 + C 27 27 (b) 푸(고+3)%4…

A:

Q: 2. For the parametric equation shown below, determine the value of (dyldx) and (d²y/dx?). x = 3t? –…

A: To find dydx& d2ydx2 using the given parametric equations.

Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C. -7 -$ -4 -3 -2 1 2…

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Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A: we have the following antiderivative formulas∫cosx dx=sinx+C∫secx tanx dx=secx+C∫sinx…