If y = ax", then y dx

Q: 03 (show de) * sec?xdy+cscydx=0

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Q: a. Using u = cot (6x), 12csc 2(6x)cot (6x)dx = cot (6x) + C b. Using u= csc (6x), 12csc2(6x)cot…

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Q: 1. fx² sec x³ tan x³ dx

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

Q: What is -4y dx + 2x dy, where C is the circle „² + y² = 16? O 967 O-167 O-327 O487

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Q: f(y) = ee&")

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Q: (2--) TT 47. y = cot| 2x

A: 47. The function is given by y = cot2x-π2 To evaluate : The period and the graph of the function.

Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

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Q: Evaluate fx sinx? dx. A. В D) Does not exist 비2

A: Given, I=∫-∞0xsin x2dx

Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =…

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Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: Evaluate (3x – 2y) dA, where D = {(x,y) E R²| – 2 <a < 4 and – a? <y < x²}. D Submit an exact value.

A: As per the given data, the domain D is defined by the limits: x=-2  to  x=4      and      y=-x2  to…

Q: All are allowable values of x in y=(1/2)secx except. a. -2π b. π/2 c. 0 d. π

A: option(b) is correct

Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: dz where C is the bo + 6)

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Q: e tan (e") dx Vsec2 (eª) – 7

A: Use substitutions method for finding the integral.

Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: Show that C@st-) is ving

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Q: If æ?y + y³ = x – 1, then at (0,-1) is dz Select one: a. 0 O b.를 C.

A: Given,x2y+y3=x-1differentiating both the sides w.r.t.…

Q: | (3e" + 4 sec? u) da

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Q: What is the value of y when t o?

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Q: |Q3/ By using definition, proof that d cot x dx - csc? x.

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Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find y" if y = cot(9x 2r+ 8).

A: Given, y= cot(9x4-2x +8)   To find: y''

Q: Problem 27

A: To integrate

Q: sec? (1/x) dx. 9: (16pts) Evaluate

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Q: 3 sin y prcos y 2. xdzdxdy

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

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Q: DS tan %) c(x) ax

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Q: Vhat is the point of intersection of the given DE (9x – 4y + 4)dx + (y – 2x elect the correct…

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: Sketch the following )r? 3 +2rcose %3D

A: As per as our guideline i am supposed to answer only one question repost remaining part

Q: shew that Sx Jon dx = X J? %3D

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Q: E, where 'C' i-

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Q: @ show thatd (csex)=. dx XV x?

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Q: ind a suitable A and B so that: A< S, Vx + 4 dx < B

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Q: Find -dx + C (To enter In(|x), you would enter In(abs(x)). Note: In abx(x) will not work )

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Q: -X (D² — 1)y=eX (2sinx + 4cosx).

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: 2x+2xy2 y+2x?y let y =

A: The last option is correct. Given the differential equation

Q: If A= ACH) find the A? m d2 A RT dA 2. dt

A: We have to find the characteristic equation and solve for homogeneous solution.

Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: Je b. Find of f(x,y) = ye*"? ax' ay %3D

A: Use logarithmic differentiation to solve it.

Q: Show that for B > 0, Be-Ba dx = 1. |

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Q: re of X = 84. Would you prel = = 10? (Hint: he location of

A: Note: Since you have posted multiple questions, we will solve the first three for you. To get the…

Q: WY is a midsegment of AUVX. If UV = p + 3 and WY = p + 1, what is the value of p? W V Y U p =

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Q: rer, Evalua den (3x1 fnd C: lve Segeant Co0) to (4,2)

A: Line Segment:    Each portion of the line segment can be labelled for length, so you can add them up…

Q: Find dy/dz by differentiating implicitly if z2 + y = 100. Answer:

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Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: az Use implicit derivation to find dx respectively, of the expression ax 3x?y³z2 – 2xy2 + 4xz –…

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Q: d Q3/ By using definition, proof that cot x = – csc² x . dx |

A: Derivative of cotx with respect to x is csc2x.

Q: I.e * dz

A: We have to find the value of integral so, for that we will use the ILATE rule which states

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.