Q10: X and Y are acute angles in quadrant I, with sin x = 7/25 and cos y = 5/13. Without using a calculator, determine the values of sin (x + y) and tan (x + y).

Q: Example 2 Let A [a], B [bi] be two nxn matrices in Mnxn with inner product (A, B) tr (ATB) a₁1b11 +…

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Q: 3. Consider the optimization problem z* = min f(x) = x₁ + x² + x² x1 + x₂ 21 Formulate the Lagrange…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: (a) If the graph is a polynomial, determine the minimum degree of the polynomial. (b) If the graph…

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Q: Does the series k=1 O converges absolutely O diverges Does the series converges conditionally 1 k6+5…

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Q: (0.3470, 2.9404) -1 2 1 y y=2+ cos(x) y = csc(x) 2 (2.2962, 1.3365) 3 X Let R be the region bound by…

A: The given graph is  To find: (a) the integral of the area.            (b) the integral for volume…

Q: Let X₁ be a closed subspace and X₂ be a finite dimensional subspace of a normed space X. Prove that…

A: Here we have given that X1 be a closed subspace of a normed space X. So, the quotient space XX1 is…

Q: Let E₁ 8 E₂ be subsets of a normed space X and E₁ + E₂ = Gu+y:xε E₁ g y ε E ₂ } . Then prove that if…

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Q: A Surface Aren S= S2x $ (v)√1-gin + 1-1/₂ = ² "2² (6² - y²) => y=b √4₂²2²-2² 62 S= D SER SUTH (FWD)…

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Q: (1-3) (x+y) - 4 Find حرقیم CR لا لا للمعاد لك - 031- ans:- X 1

A: You posted multiple questions. As per our policies solving first question.

Q: Here is a circle with center O and points A and B on the circle. Angle AOB measures 7 radians. Mark…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

Q: Use graphical methods to solve the linear programming problem. Minimize z = 4x + 5y subject to 2x -…

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Q: Approximate (1.999) by using linearization.

A: The linear approximation of a function fx at a point x=a is given by the formula fx≈fa+x-af'a Where…

Q: 1.1 Let {fn (2)} = {1 NI +nz ,z ER and 2 > 0. 1.1.1 Find the pointwise limit of the sequence {fn(x)}…

A: To Examine: The series of function Sn(x)=∑k=1∞xk-1 converges uniformly on [-a,a], a∈(0,1) or not.

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: Introduction: The validity of an argument depends upon the truth value of its conclusion. The…

Q: State and prove the convergence order of Newton's approach:

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Q: Find Taylor Series for F(x)=X/(1+X²) at (x=1),

A: Sol:- Taylor series of function fx at 'a' is defined as:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+……

Q: find an equation of the surface of revolution generated by revolving curve equation of curve…

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Q: Find the equation of the least-squares regression line ý and the linear correlation coefficient r…

A: Sol:- Straight line equation is y=a+bx.The normal equations are ∑y=an+b∑x∑xy=a∑x+b∑x2The values are…

Q: - Let P(x) be the propositional function that means "a is an od llowing? A. P(3) ^ Q(3) B. P(9) ⇒…

A: P(x) : 'x is an odd number greater than 4 but less than or equal to 20'' Q(x): ' x is divisible by…

Q: the following system of linear equations using Gaussian elimination approach (backwa tion). 1 3 3 -1…

A: Since  you have posted a multi subparts question according to guildlines I will solve first(1,2,3)…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

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Q: In exercise 6 to 10 use the rule method to describe the following set. 6.A={3,7,5,9,11,13} 7.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

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Q: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

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Q: Let C be the code given by the matrix 0 1 1 Suppose x = (11010) and y = (10110)t are received.…

A: If G is a matrix, it generates the codewords of a linear code C by {\displaystyle w=sG} where w is…

Q: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

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Q: Now compute the roots of the following equations: 1. f(x)=x²-cos(x) 2. f(x)=x-e* 3. f(x)=x²-12x³ +…

A: Note:- Equation (1) and (2) have trigonometric term so either we can solve this problem using…

Q: Simplify the followingwith 5 3+1 сеструtue deного inator

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: We will use the gradient to find the all critical points and then use the hessian metrics to…

Q: 5. Determine whether the series converges or diverges. b. Σ... (1+2n)" a ΤΟ n=1

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Q: Find a differential equation whose general solution is 8t y = c₁e³t+c₂e-2t

A: We have to find the differential equation whose general solution is given as ;             y = c1e8t…

Q: E=2*10^5 I=30000 L=600 W=25 y = dy dx W 120EIL = 120 FIL (-5X² + 6(³X²-1²) ū assume as р 38, P = =…

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Q: Ö Surface Aren 14/₁ 2² (6²-y²) => y=b₂ √²-² S2x $(1) JH (FW))" 0 $(x)=b √a²-x² => g² (x)=√ D n So…

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Q: r(t) = (t,3t,t²)

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Q: $ D Surface Aren So Sex & trift-gin 1-1/² D S= (6²-y²) =7 y b₂ SERS() JH (fa) dx 6² D 0 $10k Tave…

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Q: Question 1.5 Find the steady-state(s) of the logistic differential equation dar *(1-²). dt ih. hiel…

A: Introduction The logistic differential equation is represent to population of organism. This…

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t): How does the…

A: We have given a initial value problem ,  25y'' - 40y' + 16y = 0   , y0 = 2 , y'0 = 3 First we will…

Q: Lucia checked her online bank statement which shows the current balance is $381.23, pending…

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Q: Solve the heat equation u = 12u, 'XX' u(x,0)=(x-8). 8 ○ Au(x, t) = 2/7/7 | e-120²₁ sin[(x-8)]d w. 2A…

A: Introduction: The heat equation is a very important partial differential equation. The method of…

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: Find Ln(0.98) by Maclaurian series F(x)=Ln(X+1)

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

A: Given:  f(x)=xx²+1

Q: 9. A city has decided to test and re-paint the fire hydrants. They can test and paint 5 fire…

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Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

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Q: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

A: Let the given vectors be  u→=3i-4j+5kv→=4i+5j-6k we have to find the unit vector perpendicular to…

Q: 6. A mass-spring-damper system has the equation ma" + ßx' + kx = F(t), where r(t) is th displacement…

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Q: 6. Construct a chart giving values of u and v to satisfy the equation 1.2v +0.64u = 0.85 the range…

A: We know that, if  ax+by=c be an equation, where    x,y are variables and a,band c are constants.…