y = sec ¹3x, find dx VAL dx (4) 1-1 - A VE!! (e) None of these

Q: (a) Let f: R" → R be a function given by f(x₁, 2,...,xn) = x²₁₁x²2x², where n = 1. Show that the…

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Q: (a) Let f: R 11 k=1 R be a function given by f(x1,x2,...,xn) = x²₁x²...x2, where 1. Show that the…

A: As per our guidelines we are supposed to answer only one question. Here first question answered.

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: Evaluate the integral 1 C C sin(x²) dxdy.

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Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: 4. A composite function Function from your design Disregard desmos restrictions. Set sliders to 0 or…

A: To find: The instantaneous rate of change of a particle at x=A.

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 a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Linear combination is the general solution , then satisfying the initial conditions.

Q: Any group of order 520 is simple

A: Simple group:     "A simple group is a nontrivial group whose only normal subgroups are the trivial…

Q: Let ƒ : f: R” → R be a function given by ƒ(x1,x2,...,xn) = x².x² …x², where n x² = 1. Show that the…

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Q: ) Let z(x, y) = x" be a function defined on a disk D in the positive quadrant the point (1, 2).…

A: As per the question we are given a bivariate function : z(x,y) = xy Defined on a disc D containing…

Q: Use the trapezoidal rule with five intervals to evaluate the integral i √√√-1da, correct to four…

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Q: Question 5 Let the function g: R → R be given by: g(x) = (x-1)³ +5. (a) Compute g(6). (b) Show that…

A: As per our guidelines we are 3 sub parts answer only ( if there are multiple sub parts asked). so…

Q: (a) Assume that g(x, y) is a function of the form g(x, y) = 0 if (x, y) = (0,0). (i) Show that g(x,…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: If u = (1,0), then Düfz(-3, 4) = ƒxy(−3, 4). True False

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Q: 2) Solve for y" - xy = 0 term of X7. . Final answer must Show the series until

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Q: Assume g(x,y) is a function of the form x³y g(x,y) = √²x²y³² ( O 1g (x, y)| ≤ lally! then < Show…

A: Solution ; g(x,y)=x3yx2+y2,(x,y)≠(0,0)0,(x,y)=(0,0) Use parametrization to prove required result,…

Q: Which of the following is NOT a circuit in the graph? B E F D CC OABFEA OBFDCB O None of the Above

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Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

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Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: given :- f(x) ={ 0                 for   -π≤x&lt;0,            {sinx          for     0≤x≤π.   a)…

Q: 4. Prove that a permutation matrix is orthogonal.

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Q: ) Show that the function defined by if (x,y) = (0,0), f(x, y) = { 0 if (x, y) = (0,0) is not…

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Q: If the Laplace transform of a function ƒ is defined and denoted by F(p), find an expression for the…

A: The solution is given as

Q: (a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y…

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Q: & 10 Let 20xx,y)=x² be a function defined by on al disk I in the positive quadrant containing the…

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Q: 2- By using the disk method, determine the integral which gives the volume of the solid obtained by…

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Q: Consider the function ƒ : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it periodically to all of R.…

A: Solution: Given a function f:-π,π→ℝ : x↦1+2x+sin2x By Fourier Series, f(x)=a02+∑n=1∞an cosnx+bn…

Q: (a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition…

A: we will find limits to check continuity and differentiability ,  Slope of tangent to any curve  is…

Q: Find vectors x and y in R2 that are orthonormal with respect to the inner product (u, v) = 3u₁v₁ +…

A: The given problem is related with inner product. We have to find the vectors x and y in ℝ2 that are…

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: 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: Suppose G(r) is the generating function of a sequence (an)o, satisfying G'(r) =rG(r), G(0) = 1. i.…

A: Solution : G'(r)=r G(r) G'(0)=0×G(0)=0 ∫G'(r)G(r)=∫r G(r)=cer22 G(0)=1c=1 G(r)=er22 G(r)=∑i=0∞x2ii!

Q: Consider the function T:R² → C defined by T(x,y)=x+iy. Show that this is an isomorphism of real…

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Q: Solve the given linear programming model using the simplex method (Tabular form) Answe The objective…

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Q: 4. Data from the National Vital Statistics Report reveal that the distribution of the duration of…

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Q: X f (x,y) = x²³ cScx + secy√ sinx cot y # finel fx, fxx, fy fyy ilyx fxy

A: First order Partial derivative of the function f(x,y) are ∂f∂x,∂f∂y Second order Partial derivative…

Q: Find A. A = (2A)-1 - [ 3-2 2 -2

A: We can solve this using gauss Jordan elimination

Q: CORRELATION ANALYSIS Determine the relationship between the number of hours students spent per week…

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Q: Discuss using appropriate mathematics the properties and assumptions underlying the OLS technique,…

A: We need to discuss the properties and assumptions underlying the O.L.S.(Ordinary Least Squares)…

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: The board of directors of SSS Inc., have de

A: Given that the board of directors of SSS Inc. has declared a dividend of P18,000,000. The company…

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: Determine the nature and stability of the equilibrium points of the system dr = x=y+z², dt dy 12r -…

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Q: 4. Use power series to find two linearly independent solutions of this differential equation (x -…

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Q: Exercise 0.3 Suppose that vaccination strategies are implemented for newborns, so that not all…

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Q: Find the consumer surplus at the equilibrium point. 29) D(x) = 5x +2; x = 0 A) $2 B) $5 C) $7 D) $0

A: Let D(x) be the demand function . Then the consumer surplus…

Q: Multiply 874x23 using the galley method. Construct a rectangle for multiplying 874x23 using the…

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Q: Show that for the Legendre polynomials Pn the following holds for all n E N (n+1) Pn+1(x) − (2n…

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Q: Consider the function. 5x f(x) = √x² +1 Identify the domain of f. (Give your answer as an interval…

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Q: An e-market company is planning to expand into two new markets, on the basis of a broad market…

A: Solution : Market 1 : The number of customers will increase by 800 each year. Market 2 : The number…