Select one: а. О b. 2 C. var(x) d. - 2 e. 1

Q: b) Evaluate UTM L{t*e=# 6(t – 2)}. UTM

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Q: 4. If DF = 9x –39, find EF. %3D 47 Зх + 10 D E F

A: 4  given that DF=9x-39         then we have to   find value EF

Q: r²y dy) dr O a. 58 O b. 48 O c. О с. 42 O d. 49

A: To evaluate: ∫12∫346x2y dydx

Q: Q#02:-Salve this Pcosy +Psinx.cosx.cosy-sinjcoix =o

A: We know that for a quadratic equation ax^2+bx+c=0 Value of x is given by X=(-b+-√(b^2-4ac))/2a

Q: y aln(a) – y = 0; y(2) = In(4)

A:

Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

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Q: f(x) = x? + 2 – 6, b = 1, and n = 15

A: a. ∫abf(x)dx = ∆x(f(x0)+f(x1)+..........f(xn-1))where ∆x = b-an = 7/15therefore,left hand sum =…

Q: Given m n, find the value of x and y.

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Q: X 15 Y = 14 SS, = 232 S, = 3.81 SS, 194 %3D Sx = 3.48 SP = 14

A: Correlation or Pearson correlation is used to measure the strength of linear association between two…

Q: Given f(x, y) = 6x° – 5xy? + y*, find the following numerical values: - f.(4, 4) = f,(4, 4) = f„(4,

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Q: SZ 5cos“xsin?xdx

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Q: Given m | n, find the value of x and y.

A: M and N are || lines cut by a traversal Given angles are x + 14 and 2x - 6 that are vertically…

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

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Q: 30. а%3D b = c = d= L R 21% 94 38° P а A

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Q: O B) C) O D)

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Q: 8. If DE = 16x – 3, EF = 9x + 11, and DF = 52, find HG. E D F

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Q: Find a d, he nce ged (2695,154) other wise express 26 95p +15479=d pigtz the in or

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Q: 17) x = In(9t), y =e9t, t>0

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Q: /| r? dr dy ; N: 1 + y < 4r, I< 2, y 2 0

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Q: h(x)= Svarty ³ dr +² find d ах иск

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Q: Q4 Evaluate dxdydz xyz

A: We have to evaluate the triple integration

Q: Determine dz for z=flx,x) =e² x Chanaes from I to o,dá nd ifX chong om a2 to 2.02 changes オ

A: The solution is given below:

Q: Determine what rule of replacement was used: (~ Q v ~ R) ɔ (S ɔ ~ ~ T) .. - (Q · R) Ɔ (S ɔ ~ ~ T)

A: We state theorem is used in given statement.

Q: "x is between c and d" translates to csxsd O True O False

A: Given query is to find statement is true or false.

Q: Use the y = {a1,... , am | ß1, .., Bn} notation t

A: Given,           γ=α1,  . . ., αm| β1, . . ., βn

Q: Q1: Evaluate: Зу — 1 dv? 4v° –1 1

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Q: O A) B) 8 C) n O D) T

A: Given; y=√2 x

Q: Q1: Evaluate Sx V8 – x³dx

A: Evaluate the integral  ∫02x8-x33 dx

Q: =dx V7x +c O None 10 VA +c 10A +c

A:

Q: Q4. find d?u by implicit deratibing when बुिए to d'y-

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Q: Q. 10. If b=V8 , c= V13 and B = 45°, find 'C" %3D

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Q: FIND X ai on A a5. Y 52% Jamaib tA oloSime Dolbio n

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Q: Which of the following symbols denotes the operation of antidifferentiation? A) C) E B) F'(x) D)

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: Given the following, calculate Var (T20). i. eo = 25 ii. l, = w – æ, for 0 < x <w.

A: Given information: Given that e0 = 25 and Tx is the future lifetime random variable.

Q: Q2/ Complete the following table to find the values a , b ,c and s y 43 -1 2845 308 3162 1 3544 a b…

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Q: first and second die respectively, Find: (i) P (X = Y) (i) P (X + Y = 8) (iii) P (X + Y > 8)

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Q: en(x² + y?) dA where D = {(x, y)|0 < y < 3, -/18 – y? <x< -y}. sen

A: To evaluate the below integral. ∫∫Dsinx2+y2dA Here  D=x,y|0≤y≤3,−18−y2≤x≤−y

Q: Find the range of values of Lo if L1= 30mm, L2=70mm and L3=100mm for d. Cross over- position e.…

A: For Four - bar linkage, three links are given L1 = 30mm , L2= 70mm, L3= 100mm To find the range…

Q: Given m || n, find the value of x and y.

A: The given graph is:

Q: s 130 ys 170 y 2 0 V V N N + +

A: the linear programming problem is as follows  maximise z = 2x+1.25y subject to…

Q: Given m n, find the value of x. (x+27)° (2x-7)° a e Type here to search

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Q: a. Compute P(Y < 20).

A:

Q: 2y=x+4 y 6 8 4 x O 2 I would you isolate b.

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Q: Evaluate y ds, C: x = t², y = t, 0 <t < 8

A: Given that, the integral      We need to find the integral value

Q: B G(y) = Av + B

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Q: Q1: Evaluate * 3 Sx V8 – x³dx

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Q: Only need D ,

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Q: Zo) 1664 d. P(zo <Z < 0) = 0.4798 e. P(Z < zo) = 0.2090 %3D

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Q: M/I R = 1/4 R=1 0.55 reten ✪ r=0.5cm 1

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Q: S SEV1+ y3 dydx =?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.