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Q: Find th

A: Let the radius of the sphere be r. Then the surface area of the sphere=4πr2 Given that the surface…

Q: Use the graph of f(x) = x3 + 3x2 - 4 in the figure given to factor x3 + 3x2 - 4.

A: Given function: And the graph:

Q: lim メー→。

A: you can clearly understand if you follow the below solution

Q: Prove that = Aatilag (Elog Xi) An. %3D

A:

Q: lim

A:

Q: Find the points at which those extreme values occur. О (- 2)and (0, —- 2) О (2), (—2), (0, 2), and…

A:

Q: Lim secx -co tx メーマ

A:

Q: lim et- ハ→0 ¥

A:

Q: ne terminal point on th

A:

Q: tan(2e) lim 30 Costue)

A: Solution is given below:

Q: Solve using either Roll's Theorem or Mean Value Theorem:

A:

Q: in a refining tower is f(x) = x4 - 4x3 + 119 degrees Fahrenheit after x hours (for 0 n diagram for…

A:

Q: Find the points on the graph of f(x) = 48x – x' where the tangent line is horizontal. (Use symbolic…

A:

Q: tan(23z) lim

A: This problem of limit can be solved by the L' Hospital rule which is explained in step 2.

Q: [1, 5] th- or f(x) is

A:

Q: Find all points on the graph of 3x² + 6y² + 3xy = 64 where the tangent line is horizontal. (Give…

A: To Determine: find all the points on the graph where the tangent line is horizontal. Given: we have…

Q: e- lim

A:

Q: ze" – In(1+#) lim

A: To evaluate the given limit.

Q: evaluate using method of interse trig function 1 17-257² dt

A: The given integral is ∫11-25t2dt. Evaluate the integral.

Q: 21. f(x) on (-3, 5). x² + 5

A: According to question given thatf(x)=x2x2+5 on [-3,5]

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: algebrail dosure OF F. Then th

A:

Q: (Inx)? lim

A:

Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: 2. 1+tanh² x 1 -tanh² x

A: To simplify 1+tanh2x1-tanh2x, use trigonometric identity, 1-tanh2x=sech2x. Substitute tanh2x with…

Q: as x -> infinity f(x) ->  as x -> - infinity f(x) ->

A: We find limit of f(x)  as x -> infinity f(x) ->    as x -> - infinity f(x) ->

Q: f (x) = - x² - 2 as x → -0 f (x) – as x → -o f(x) →-∞ as x → +∞ f (x) → +∞ as x → +o0 ƒ (x) as x -…

A: To describe the end behaviour of polynomial

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y(x)=√x…

A:

Q: Determine all values of (in®)*. Indicate which is the principal value.

A: The solution is given below

Q: QI Determine a condition on |x - * 1| that will assure that 1 |x² – 1| < - 4

A: x2-1&lt;14Apply absolute rule:  If |u| &lt; a, a&gt;0 then -a &lt; u &lt;…

Q: lim メ→

A: This is a problem related to limit and continuity part. Please follow the procedure given below.

Q: Lim

A: The limit of the function given is, limx→1-x+42x+1 To determine the left hand limit of the function,…

Q: lim Sx

A: Given, limx→0+x   We have to evaluate the limit.

Q: ) Lim Ji-x³ メ→1 TI-X° 3 2

A:

Q: Find the points on the graph of f(x) = 12x – x³ where the tangent line is horizontal. (Use symbolic…

A:

Q: Find Esin(X).

A: Given  X : 0, pi/4, pi/2, 3pi/4, pi We need to find E(sinX)

Q: Find the limit

A:

Q: lim cob lo) -の

A: Given : limθ→-∞cosθ3θ

Q: lim h-->inf   10/ (h^2+100)

A:

Q: on the graph of f(x) = 54x - 2x3 where the tangent line is horizontal Find the points (Use symbolic…

A: Given,

Q: How to find P value from z and how to make decision about reject or not Ho.

A: Test statistic- A hypothesis test is characteristically specified by a test statistic, considered as…

Q: Lim イコク

A:

Q: : and degr S. F

A: We have to solve given problem:

Q: Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic…

A: Topic:- limits and application of derivatives

Q: first column) and the exact valu column). Number 1 is done for you. Function 1) lim 3x + 1 X→2 2)…

A:

Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: for the function given in the image, determine the possible value for c that satisfies the mean…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 2sin2 x-3sinx+1=0

A: It is a quadratic equation of sin x. So we solve it by factorising.

Q: Find all points on the graph of 3x² + 4y² + 3xy = 36 where the tangent line is horizontal. y (Give…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.