a) Find and if ar as i) h(r,s) = log, r

Q: What is the value of w?

A: The given figure is as follows -  Given that -  AC = 2 and ∠ABC = 53 ° We have to find 'w' i.e. the…

Q: of ū at the poir 01

A:

Q: If f(x) = –3x + sin(47x) for x E [0, 1], find the smallest value of c E (0, 1) which satisfies the…

A: The Mean Value theorem states that for a continuous and differentiable function f(x) on the interval…

Q: If h(x) = log,x and g(x) = e ,then (hog)(x) %3D

A: We first find (h∘g)(x)(h∘g)(x)=h(g(x))=hex=logeex=x

Q: A RI. circuit has no applied emf, a resistance of 50 ohms, an inductance of 2 henries, and an…

A:

Q: If f(x) = log,(cot(x) + a?) , then f'(x) = %3D (A) 1 (cot(x)+2?) (B) csc (x)+2x (cot(x)+r) 1 (C)…

A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

Q: D Without o rodian measure of e if it exsists. calculator, giue the e = Sec-(-a)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If e dy then y-

A: We will evaluate the following Integral.

Q: The Energy of a photon for a microwave of wave length 1.5 cm is 8.29x 10 -5 ev 8.29x 10 ev II O 6.29…

A:

Q: State the atio of each of the 1 basic trig functions in relation toa for the triangle in the feure…

A: Let's find.

Q: Evaluate e for z= 2ri. O 1+i Oi

A:

Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: If fit) = e-lt|, then (dx/1 + x2) =.. 2 2n

A:

Q: By using Rodrigue's formula, prove the following relation Ph+1(x) – Ph-1(x) = (2n + 1) P,(x) 4- %3D

A:

Q: The energy stored 'W'in an inductor is given by W (t- - 1)e-24dt %3D

A: topic - definite integral

Q: 2) H. GN H G'N H' %3D in HUG b. (GUHY %3D e

A:

Q: If f(y) = log, (sec(y)), find f'(y). Use exact values. =

A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

Q: Assuming x E Z. Prove

A: Given, x∈ℤ, To prove that                 2|(x2-6x+5) ⇒2|x

Q: Determine the following: C. Find sec 240"

A: NOTE: Refresh your page if you can't see any equations. . as we know,

Q: by first- shifting find L(e-tt)= %3D

A:

Q: If Sw O= e avd Taw O >0, F Find SEC 8.

A:

Q: 30 calculate E23 E2 j=4 (2i + j)²

A:

Q: Show that: (e) (VF) = 1 dx

A: Derivative of a function xn: ddxxn=nxn-1                               (1) Given function is: f(x)=x…

Q: Find z when In z = e – nj

A: Complex number

Q: show that the given function is of exponential order. Q. f(t)=cos2t.

A: Given: f(t)=cos2t To Show: The given function is of exponential order.   Concept:

Q: In r dr

A:

Q: find dz e 1-e |

A: To find the given Integral.

Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

A:

Q: The energy stored 'W' in an inductor is given by W (10 * 10-3)te-2dt %3D

A: Given query is to find the value of the integral.

Q: WITH H ag

A: we have to find the formula for the general term an of a  geometric series with the term a3=-18 and…

Q: Show that e* dx e

A: To Prove,∫1∞e-xdx = 1eConsidering LHS, let LHS be y - y = ∫1∞e-xdx…

Q: (- 00 ,a) is measurable.

A: Given a statement

Q: With reference to this equation, distinguish between classification and regres- sion, and give an…

A: Given          y= f(x)  What is mean by prediction ? In prediction we predict value of variable by…

Q: Given: CE= FH CD GH G. Prove: DE = FG

A:

Q: terms HK K . J 12 in

A:

Q: Determine the following: C. Find sec 240°

A: As we know that; The trigonometric identity; cosθ=1secθ Given: sec240°

Q: Solve for A: C = A + Ar.

A: We have to solve for A for the equation: C=A+Ar Taking A common from A+Ar, we get C=A+ArC=A1+r Now…

Q: The same toboggan with the same coefficient of friction as in Example 5.16 accelerates down a…

A: Given problem is :   Solution: given that toboggan slides down with friction applied on it.

Q: 3. ncnt) use PMI to prove that E

A:

Q: Prove that between two positive quantities, say a and b. A.M. G.M. > H.M.

A:

Q: Write a in the form e(=) and hence find - [x*] for x > 0. dz

A: The given function is: xx=eln xx    =ex ln x

Q: Show E(XY)

A:

Q: Each second, a star converts 1.3 × 10° tons of hydrogen into helium and energy in the form of gamma…

A: Introduction: The phrase "standard form" is used to describe the typical shape of a variety of…

Q: jedx = In[(e" +1)(1 +e")]+C e+1 = xp

A: Firstly separate the integral terms. After that                  substitute      ex +1 =t   and ex =…

Q: (a) Use the definition of L{-} to determine L{te="}

A: As per the rule one question is solved at a time so i am solving (a). Consider the given Laplace…

Q: асe of A is

A:

Q: e obtained by r

A:

Q: Derive the MGF of the gammalr,x)

A:

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.