Ex 3.7.3: Differentiate each equation. 2x a) y = e²x (2x - 7)5

Q: how do you determine coterminals?

A: They are obtained by adding and subtacting 360 degrees

Q: List the restrictions

A: Given expression ( f(x) ) is    fx=x+2x-32x-1x+2×2x-1x+5x-4x-3   This can be simplified by…

Q: dx Evaluate f- +1) using the Cauchy principal value.

A:

Q: 4) f(x) = x³ dr) = (3x)³ + 3 3. %3D

A:

Q: how to calculate difference quotient?

A: The steps for calculating the difference quotient is as follows. Let the function be f(x). 1.…

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Due to heavy rainfall and waterlogging, only a few vehicles are seen on the road. Check the…

A:

Q: Find x.

A: Sum of exterior angle of a polygon is 360°.

Q: State the product rule and the quotient rule.

A: State the product rule and the quotient rule.

Q: To + w -dw Find

A:

Q: How is the y value determined, like y1,y2,y3, and y4? (the second column of the table)

A: As per the question we have to explain how the y-values i.e. y1 , y2 , y3 and y4 are determined.

Q: Evaluate , (Inx)³dx. 1

A: Given: ∫1e(lnx)3dx Apply integration by parts. ∫1elnx3=xln3(x)-∫3ln2(x)dx1e

Q: order of (Z4, +4) for each element

A: order of (Z4, +4) for each element

Q: Describe the important features of the relationship between two variables:

A: 1. CorrelationStrength: Measured by the correlation coefficient (r), which ranges from -1 to 1. A…

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Use the Chain Rule to differentiate the following function. +4-3x = (x),}

A: The given function, f(x)=x4+4-3x2

Q: 3. 1 10 18

A: topic - derivative of a function

Q: define: transformation

A: Transformations is a subpart of the topic "graph of functions" in algebra. It is used…

Q: Define the Quotient Rule?

A: Let both u and v are functions of x then the derivative of (u/v) is: This rule is called the…

Q: Describe how to differentiate implicitly.  Give an example along with your explanation.

A: Implicit differentiation is a special case where we use well known chain rules to find the…

Q: Give an example of the law of persistence of small numbers.

A:

Q: What kind of relationship exist between the numerous divisions and objects?

A: The relationship between divisions and objects can vary depending on the context and the specific…

Q: Find the perimeter of a rectangle EFGH with coordinates E(-3,-2), F(-8,-2), G(-8,9), and H(-3,9)

A: To find: The perimeter of rectangle EFGH. Given: The points are E-3,-2, F-8,-2, G-8,9 and H-3,9.…

Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

A:

Q: What is the independent variable and the dependent variable?

A: Dependent variable is the response variable that we observe from the subjects under study, and…

Q: The slops of (-2,-2) and (2,1)

A: Topic:-  Geometry

Q: Explain the Comparison Theorem

A: It states: If f(x)\geq g(x)\geq 0f(x)≥g(x)≥0 on [a,\infty)[a,∞), then If \int_a^\infty f(x)\…

Q: What is the Combination Rule?

A: Combination and permutation:Using permutations and combinations, the number of ways an object can be…