8. Evaluate tan² (j0.78)

Q: a) Find the domain of f. b) Find Mon lim (x,y) →(0,0) f(x, y) = = rye* 5x10+26y f(x, y) or show that…

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Q: For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

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Q: Application - Social Media A vlogger receives a notification each day of how many views their vlog…

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Q: 7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is…

A: A capsule in the form of a cylinder of length t cm with a hemisphere of radius r сm at two ends is…

Q: Prove that the general solution of the nonhomogeneous linear system, 6 x-(1-1)×(1)²² · (-)-(-) X + +…

A: Please see the attachment

Q: Evaluate: Jo J O (2-√2) T 8 O (2-√2)= 4 O (√2-2)x 4 O (√2-2) T 8 5/1 -y² sin √²+y² dzdy /z²+y²

A: To Evaluate: ∫0π/4∫0π216-y2sinx2+y2x2+y2dxdy.

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A: Given: Three regions A, B and C defined as: where region A is bounded by the parabola x=y2 and the…

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Q: Use the method of undetermined coefficients to determine only the form of a particular solution for…

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Q: Show that S log(sin x) dx = -log 2.

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Q: Given the ellipse 9x² +16y²-144= 0 a. Determine the length of the arc of the first quadrant b.…

A: Given ellipse  9x2+16y2-144=0 ⇒9x2+16y2=144⇒9x2144+16y2144=1⇒x216+y29=1⇒x42+y32=1 Which is the…

Q: π/2 The integral f/2 fossin drde is equal to O-1/2 O 1/2 01 00 10

A: We have to find the integral ∫0π2∫cosθ1sinθ drdθ .

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Q: Q4 a) Using Gamma function evaluate b) x6e-3x dx. tre (xe"*, x>0 0, x < 0 Find the Fourier…

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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Q: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

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Q: f(x, y) = In(3 - x) √x² + y² = 8 - a) Find the domain of the function b) Sketch the Domain

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Q: 7. The solution z = (x, y) to the equation in Problem 6 is A. /1 (12.+ 1/3) 2 √3 B. (-12. ± 12³) +…

A: 7. Given equation is z2 + z + 1 = 0

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A: Note: We solve only first three sub-parts since it is not mentioned which parts are to be solved.…

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Q: ks) During a game of hacky sack during lunch, Bryce attempts to pass the hacky sack to Paige who is…

A: Consider the diagram as per the given information, Here we need to find the measure of ∠BAD.

Q: 3. x' 1 √3 - (√'₁ x₁)x¹ (√₁²+) + 3 -t -1/ 3e

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Q: If y, and y₂ are linearly independent solutions of t²y" + 4y + (5 + t)y = 0 and if W(y₁, y2)(1) = 5,…

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Q: When it Pyramid in Egypt had a height of 147 meters and contained 2.3 million stone blocks. It is…

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Q: ⒸV-R² of α₁ [:] , *₁ [i] · <= [-] V=R²³² at = L₂= L3= let it be. Show that {2₁, 22, 23 } in V is a…

A: Given vectors are α1=101, α2=011, α3=1-12 The vectors α1, α2, α3 in V is basis, if  the matrix form…

Q: Question 2 2z¹y Consider the function f(x, y) = y² Find the domain of f and provide a sketch.

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Q: Find the area bounded by y^3 = x^3 + x^4 and the x-axis. Sketch this and label the important…

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Q: 2. (2x + 4y -3) dy + (x + 2y -1) dx = 0; y(2) = 5. Determine y(3)

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Q: 5. (x (x-1)) dy + (2xy + y) dx = 0. y(2) = 5. Determine y(3). Answer shall be in fraction form.

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Q: ou take out a ₱20,000 loan at a 5% interest rate. If the interest is compounded  annually, a. give…

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

Q: 7. Evaluate cosh (ipi/4). a. 1.414214 2270 degrees b. 0.707107 20 degree c. 1.414214 2180 degrees d.…

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Q: Question 2 Given the function xye* 2x³ +50y² f(x, y) = a) Find the domain of f. b) Find exist. lim…

A: a) The function is defined where 2x3+50y2≠0x3≠-25y2 So, the domain is =x,y:x,y∈R,x3≠-25y2 b) We have…

Q: Problem 1: (a) Compute 13-1 (mod 23) by enumerating multiples. Show your work. (b) Compute 13-1 (mod…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 6. The integral equation for a normal distribution curve's probability A. is an example of a…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The values of C, and C₂ so that y(x) = C₁x + C₂ (-) satisfies the two conditions y(1) = 1 and y'(1)…

A: Given: yx=C1x+C2-13x2 To find the values of C1 and C2 such that y1=1 and y'1=-1.

Q: The following differential equation x²dy = (exy-1)dx is linear True O False

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Q: Eigenvalues, Eigenvectors and Applications: Question # 2: Part: b:Diagonalize the following matrix…

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Q: 2. Circles. Let A = 8 1 0 1 -1 1 2 5 -1 -1 -1 7 1 1 6 -1 Show that A is invertible by Gershgorin

A: We have to solve given problems:

Q: Evaluate: ffdxdydz 0 - 12/2012 0 1 01/1/201 0 -1 S

A: To find- Evaluate: ∫01∫eez∫1yezxy dx dy dz

Q: Problem 3. Show via intuition why for all n, n k=1 2 (2) ² n (2-1) = n Hint: Consider ways you can…

A: "k" can be from 1 to n

Q: Evaluate sin-¹(3x) dr.

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Q: An initial value problem for a second order linear differential equat is given as follows: 3t…

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Q: -[ A = solving the SVD is O [-10] O [10] O [0-1]¹ O [-1-1]¹ O [11]¹ O [01] 0 -1 4 0 For the above…

A: We have given that ,  A = 0-140 We need to find second column of the matrix U after solving the SVD.…

Q: Consider the following nonhomogeneous system. Find the eigenvalues of the coefficient matrix A(t).…

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Q: An automorphism of a group G is an isomorphism G→ G. (1) Prove that Aut(G), the set of all the…

A: As per the policy, we are solving 3 subparts of the given question. Please repost the question and…