Evaluate [ V21+12x-9x²dx

Q: 2 Evaluate V2x +1

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Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: (b) Prove or disprove: Z10 ~ Z5 x Z₂.

A: We shall solve first question only as you have asked more than one unrelated question. For others…

Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

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Q: Compute R' (x). OR (a) = 70 + 0.04x %3D OR (x) = -70 + 0.04x OR'(x) = 70 – 0.04r %3D OR'(x) = 70x –…

A: We have to find R'(x).

Q: Evaluate the integral 4x4 – 12x2 +7 xdx .

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Q: Evaluate: x²dx V2 - 3x

A: It is given that, ∫01x22-3xdx   Make a substitution and consider, 2-3x=u-3dx=dudx=-13du   ...(1) and…

Q: var(û), if û = X1 + a jg X (n-1) + (X2 ++X(n-2) + 3 6X(m-1) + 증 .. 2(n-3) 4. 29n 256(п-3) 29…

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Q: Sketch a graph of each function.

A: Given function is We need to sketch a graph of f(x).

Q: Write the dual of the LPP Max z = 4x1 - x2 + 2x3 Subject to x1 +x2 < 5 2x1 + x2 < 7 2x2 + x3 2 6 xi…

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Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

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Q: Evaluate det 4.x0+ 3y0 4x1 +3y1 4x, + 3y2 Using det 16 Cevap: 20 212 2.

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Q: Use the substitution method to evaluate V1-22dx

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Q: ve that if x5 – 3x4 + 2x

A: Introduction: In an equation, the two expressions are assumed to be equal, as indicated by the…

Q: 3. Let fx) --2x (x² - 9)(x*-1) Determine

A: Please find attachment for the details solution

Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: Determine the coeffcient of x31 + x32 + x23+ x64 if (x1 + x2 + x3 + x4)^14 is expanded.

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Q: Expand: (x + 2y)5.

A: Consider the provided expression, x+2y5 Simplify the provided expression. Apply the binomial…

Q: Evaluate S (x* – 7x³ +8x² + 3) from a=1 to b-2. O 1/2 O 1/5 O 4/3 O 2/3

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Q: 4. Evaluate √x² - 2x + 1dx

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Q: √x³√1-x² 2

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Q: HW: Expand (4+ y 2- (a-5) 1-

A: I have used binomial expansion

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: what is the characteristic of Z6xZ9

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Q: Of(x) = 2x Of(x) = x²²

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Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: Suppose F(4) = - 1, - 1, %3D

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Q: diven that f(z) - S2-45 and g(z) - +2-9-9.

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Q: Describe the behavior of the expresion as x → 4† and as x → 4¯. Enter oo for ∞ and -oo for – o. 4x…

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Q: Evaluate Jx√x²+7dx ○ (x+7) +C 3 ○ (x²+7)³¹² + C O +7x+ C O 3(x+7) +

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Q: Compute the following. 35x4-32x3+15x²–10x+18dx -5

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Q: Consider 2a – 3y² = 8

A: Differentiate wrt x

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: - 7 (-v3-1+5u2)

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Q: b) Prove or disprove: Z10 ~ Z5 x Z₂.

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Q: Similarly, for F2, since the middle third of each side of F1 is removed and replaced with two line…

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Q: Evaluate. 2 dt 3+t 2.

A: Using definite integration.

Q: Compute the value of 9x2+4y2 if the xy = 6 and 3x + 2y = 12

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Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

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Q: ( sec* 2xtan 2xdx

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Q: Determine div F, ii. VX F,

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Q: Find each f(c) using synthetic substitution. Ax) = -x7 + 4x6 – 4x5 – 6x4 – 3x³ – 6x² – x – 2; c = –5…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.