Convert the following degrees to radians. a) 30° b) 175° c) 150° d) 315⁰

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A: Given,          To  prove that,             ∆LMK≅∆NMK   Side-Angles-Side

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Q: Derive all the possible equations of x. Given: (x-2)^2-lnx=0

A: x-22-lnx=0

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A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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Q: 1. Find the determinants of the following matrices using Laplace Expansion and Triangular matrices…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Apply Frobenius theorem on the following differential equation: ..2..!!

A: Given the differential equation                        x2y''-3x(x-1)y'-8(x+1)y=0

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Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: 9. Prove that if G is a group of order 60 with no non-trivial normal subgroups, then G has no…

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Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

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Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

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Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

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Q: 4. The position of a particle at time t is given by x(t) = 5+4 sin(t) y(t) = 2 − 4 cos(t) 0<t</ (a)…

A: This is a problem of parametric curve and Integration.

Q: Q1. Locate and classify the singular points of the following functions: A: f(z) = z[1-e¹/z] B: f(z)…

A: We can solve this using definition of singular points

Q: Find the area of this composite shape. 11 cm 16 cm 4 cm 5 cm 4 cm 4 cm 7 cm 3 cm

A: Let us consider a  rectangle with length L and breadth B then the area of rectangle is  Area of…

Q: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

Q: 2. The value of f¹dx = ..., for each Chebyshev polynomial T, (x), n ≥ 0. dx=, √1-x² c) 0 d) None of…

A: For each chebyshev polynomial we have

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Q: Jse chain rule to differentiate the following 1 y = sec+ (√x+; )

A: Differentiating given function below

Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: 3. If_f(x)=(x+1)(x+b) and f(2)=f(5), then_ƒ(10)= A. 22 B. 16 C. 10 D. 7

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

Q: Question Five (a) Let f: RR be a function given by f(₁,2,...) = ...., where P Σ-1. Show that the…

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Q: Let f(x) be a function given by 0 for - < x < 0, f(x) = sin for 0≤x≤T. (a) Prove whether f(x) is a…

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Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COS.x + c2 sinx) +…

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Q: 2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c)…

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Q: Q2) Let(M₂ (R), +,.) be a ring. Prove H = {(a) la, b, c € R}is a subring of (M₂ (R), +..).

A: A subset H of a ring R is a subring if: ∀a,b∈H we have a-b∈H ∀a,b∈H we have a.b∈H Now, we have…

Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁ (x)) c) (T₂(x) - T₁(x))) b)…

A: Chebyshev polynomial Tn(x) of the first kind is a polynomial in x of degree n defined for x=cos…

Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1

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Q: 3. In fitting a parabola, the formula to find the sum of the squares of the residuals is a) E= Ey-…

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Q: Which of the following models are counter-models that shows that is not a logical consequence?…

A: We are given the following logical expression.        ∀x∃y P(x, y),  ∀x∃y P(x, y)→Q(x)⊭∀xQ(x)…

Q: entiate the following y = sec¹ (√x- 1 + 3)

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Q: 4) Solve for y" + x²y' + xy = 0. Final answer must show the series until term of X7.

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Q: d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an…

A: Just use the little bit calculation

Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: 4. ABP is a triangle, M is a point on AP. AB = à, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: We have to use  triangle law of vector addition According to the law  if two sides of a triangle…

Q: dy 1. FIND BY IMPLICIT DIFFERENTIATION: 9x = secy dx dy 2 a) FIND BY IMPLICIT DIFFERENTIATION: x4y³…

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

Q: solve e² = -2 for all values of z

A: Given,            ez=-2

Q: The bases of a trapezoid are 48m and 98m and a height of 61.02m. The angles at the ends of the…

A: Introduction: Area is the space covered by the object or any geometric figure. It is the region…

Q: m Squares = 2 SSA = ? = ? SSB 220 1) 8 SSAB? = 30 SSE=? (Variance) MSA MSA = 80 MSB = ? F MSAB 10 F…

A: Given that, Source Degrees of freedom Sum of squares Mean square F

Q: ical notation of each:

A: Given as,

Q: Find the length of the line segment below. Round to the nearest hundredth if necessary.

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Q: 1. How many grams of a drug are there in 850 ml of a 1 in 130 w/v solution ? state andwer to 3…

A: Note: according to our guidelines we can answer only first question  1)   Given solution is 850 ml…

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y =…

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