Solve the equ ati on by expressing each si de as a pow er of the same base and then equating exponents. 34) ex + 10 1 e3 A) (-7} B) (7) C) {13) D) {-13)

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: TQ TS,2o 2$ its 32 if you add 1to a natural umber Bue getzts succes if you subtrot lrom anatural…

A: Natural numbers are those numbers which we are using for counting like 1,2,3 . So the first…

Q: ds 4. Evaluate s = In cot 20 in terms of de

A:

Q: Find simpler expressions for the quantities in Exercise

A: Use the relation between exponential function and logarithmic function a.) 2 ln e 2 ln e = 2 ln e12…

Q: use the Sum end diference ereree exact Vale Formala to Find he Sinf 12 of sir

A: We will find value of given trigonometric function.

Q: Which of the following is equivalent to expression cosh?u- sinh²u? (A) 2e-u (B) cosh2u 2e" D none of…

A: Using the formulas of coshx and sinhx

Q: 00 is inscribed in AABC АВ 3D 9, ВС %3D 13, АС AD, BE, FC Given: = 10 F Find: A E D B

A: Given, AB=9 BC=13 AC=10

Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: (a) Calculate the tension (in N) in the first rope, T,, if the person is momentarily motionless.…

A: The tension has to be founded if the person is momentarily motionless .so the system will be in…

Q: What is the a+ib form of: In(7 + 2i) - In(3 − 6i) + e - T 3√√/343+i

A:

Q: Let n be a number that will satisfy the identity 1+ 2cot20 + cot40 = csc" 0, what is the value of…

A: We use cosec2(x)-cot2(x)=1 and solve the given identity. Follow 2nd step .

Q: In the formula, Norm_Corrx.v En=0 x[n] is said to be related to the --of x[n] the term EN-1x2[n] EN=…

A: Given the formula, Norm-Corrx,y=∑n=0N-1xnyn∑n=0N-1x2n∑n=0N-1y2n

Q: Drove: am t (att)" =1 +a(it()m=) Cmod acate) Where a, ore integers. n

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Q: a) Find the square root 14+ 4√6. b) If ƒ(r) = (2+1), show that ƒ(r) — ƒ(r+1) = r(r+1}(r+2). Hence,…

A: B. f(r) - f(r+1)

Q: 97. For what numbers e is f(0) tan ở not defined? finnd? 98. For what numher

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

Q: solve for the value of i + O In e O In 1 O -1 O i

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Q: 16. Express the quotient 00. √3 5 O b. √3 1 OC. √3 6 O d. √3 2 1 3(cos50°+isin50°),…

A: Topic:- complex number

Q: If y = mx + b, where m is a positive real number and b is any real number, then prove that Px,y…

A:

Q: Which equivalence is true? sin x= 6. 1 1 logs O 2? < 4° r<2 O a + 2 = 3 # r= 1 112

A: In option (a) it is given that, sinx=12 So if we want to solve the above equation for the variable x…

Q: Evaluate the integral. /2 7 cos?(8) de

A:

Q: 2sin'ө de- 10 Tt a O 32 8 .b O 15 -T.cO 32 10 Tt d O 32

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Q: Let n be a number that will satisfy the identity 1+ 2cot20 + cot40 = csc" 0, %3D what is the value…

A:

Q: Which of the following is equivalent to expression cosh?u- sinh?u? A 2e-u В 1 2eu cosh2u E none of…

A: We have to find

Q: use fortran H.w 1: Transiate the following expression to Fortran expression: 1- B- Va? + 10 2-…

A:

Q: Let n be a number that will satisfy the identity 1+ 2cot20 + cot 0 = csc" 0. %3D what is the value…

A:

Q: D show that || ū+ 1?= 11u| + l" if and ū ů =0 only if %3D

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Q: A. USING SIMPSONS 3/8RULE WHEN N=9; AND N=14 3 cos0 (2+sin0)² Ops 2

A: Given ∫-π2π23cosθ2+sinθ2dθ

Q: By using Residue fined S 2+3 sin z(z-1)² dz, C:|2|=2? (6 €13) (4

A: See the details solution in below

Q: -20 sinh(2a) 2 O True O False

A: We need to tell if the statement is true or false. this can be done as follows:

Q: Derive the identity 1 + cot^2 θ = csc^2 θ by dividing x^2 + y^2 = r^2 by y^2

A: Given:

Q: Simplify ,e In 2 e e eln2 %3D (Type an exact answer.)

A: We have to find the value

Q: 2. So OP a2+sin? @ , a > 0 av1+a²

A:

Q: 2丁 o<ズくL メ BC. TlU,A)=0, TIL,f)=COSf エ、C. T(メ、0)=o

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Q: K bea nentaal ongwnity. Piac if aF1 ja71,a²=1 then atl and a- are zero dnMrs

A: ANSWER :

Q: - Substitute the given values in the formula A- Pe" to find the missing quntn c00000

A: Here we are givenA=pert14Also we have A=1,345,456; p=453 and  r=3%we want to find t

Q: 4. e² 55 +19 + sin (577) - 3 3 43 67

A: The complex mathematical expressions can be solved using calculators.

Q: The integral expression: Ocos 20 d0 can be evaluated by parts of the for The product vdu is: -40+…

A: We will solve using integration by parts.

Q: Which of the following is equivalent to expression cosh?u- sinh²u? A) none of the given choices B 1…

A:

Q: Let n be a number that will satisfy the identity 1+ 2cot20+ cot 0 = csc" 0, %3D what is the value of…

A:

Q: 14. Given 0° ≤ 0 < 360°, solve 8 tan 0 0 O 0°, 180° O 90°, 270° Ooº 90°

A:

Q: rewrite as a sum difference formula 8 sin 7x cos 3x

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Q: Which of the following is equivalent to expression cosh²u- sinhu? A none of the given choices B 1…

A: The given expression, cosh2u-sinh2u

Q: Which of the following is equivalent to expression cosh?u - sinh?u? 1 2e" © none of the given…

A:

Q: 97. One petal ofr = 3 cos 50 %3D

A: The given polar curve is r=3cos 5θ. Evaluate the roots of the function r=3cos 5θ as follows. r=03cos…

Q: Given: Right ΔΑBC Prove: ab h = B a A b

A: We known that, the Area of the triangle ABC =  12×base× height Here, CD is perpendicular to AB…

Q: 4. DERIVE the formula for cot xdx. Show all of your work in a neat, organized fashion. (hint: use…

A: given,      ∫cotxdx

Q: 87 cos e do %3D O 4

A: In this question we have to evaluate the Integration.

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х Əx ди

A: The equation is ux, y=x2coshxy2+1.

Q: Given that Z2a = 0.74 Find the value of a. O 0.2296 O 0.1148 O 0.4592

A: We have to find critical value..

Q: 6. Solve the following difterence equatrm using z-T. b. yck)- y(k-1) +yCk-2) = 2 sin H -yck-2)=2sin…

A: Given y(k)-34y(k-1)+18y(k-2)=2sinkπ2               (1) Since Zy(k-1)=y(-1)+z-1Y(z)…