Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

Q: find the rational number represented by the repeating decimal. 0.451141414

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Q: Q3) Evaluate triple integral , dz dy dx.

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (/2,0). What is its…

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Q: If f(x) = (2x) , find the derivative of the function Or) = f'(x) = 3(x)0.5 f'(x) = -(x)0.5 f'(x) =…

A: 1)f(x)=(2x) -0.5 2)f(x)=(1+sinx)/(x+cosx).

Q: 9x 4. J, 16+9x

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Q: Determine the slope of the tangent to the curve y – 3.xy +2x =4 at the point (3, 2).

A: curve :  y2-3xy+2x2=4differentiating w.r.t…

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

Q: If u,v,w are three vectors such that each is inclined at an angle of 4 with the other two, and that…

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Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

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Q: The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

A: First we will draw the region and find limits for x, y and z

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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Q: Find the saddle point/s of the function f(x, y) = x² + y° + x®y+ 4 O a (4,0) & (-4,0) O b.(E -1) &…

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Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: Problem 2: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt,…

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Q: Q3) Find the Area bounded by the curves x and x = 2y – y².

A: Topic = Area Area bounded by curves is 13.

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

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Q: r= sin E-0) in first quarter.

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Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: (3-y Q1) Evaluate the integral dx dy using polar coordinate

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Q: find the derivative and simplify the answer sin² (esin t) + cos-{(2t3 – 5)

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Q: Find dy dx I-Ln(x+3)=tかが(x:)

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Q: sin x Let g(x) = 1 ot. Find the derivative d'(x). '2 1+t3 none of the choices cos X 1+ sin3x sin? x…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

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Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: Find the value of c where lim(x) does not exist for the graph of the function shown below a. none of…

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Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: Consider the series 0 n=1 2+n3 For what values of p does it converge? I. p> 1/2 II. p< 2 O l only O…

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Q: Evaluate the triple integral. SSSE2.xy dV , where E lies under the plane : = 1+x + y and above the…

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Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

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Q: At which value of x does the local maximum occur? Ox=3 O local maximum does not exist Ox-1 Ox=5

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: dy Find given x' +y =8y. dx

A: Given  x3 + y3 = 8xy

Q: Evaluate the following integral using three different orders of integration. SSL:(x: – y') dV, where…

A: Here we have to evaluate the given integral.

Q: Helene invests Php 5,000 in an investment that earns 6% per annum. How many complete years doe it…

A: Topic = Algebra

Q: Type your answers in the following order and format: a=1,b=2. DO NOT include spaces in between…

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Q: Activity 1 Find the antiderivative of the following functions. Show your complete solution and…

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Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: Q4) Find plane area inside the polar function r = 2sin E- 0) and outside r= sin -0) in first…

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Q: If f(x) = (x+1)/(x-1), where x # 1, determine f '(1). %3D

A: derivative of fx=x+1x-1 at x=1

Q: Q5/ Use Linear Regression to fit the following data: 1 3 4 Y 4 9 10 10 8. 00

A: Follow the procedure given below.

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: Solve the D.E dy – (2x/1- y2)dx = 0

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