7.L Given the points (-1, 2) and (-3, 12). a) Find the slope of the line containing the points Indicate if the line is increasing or decreasing. b) Find the equation of the line.

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Q: Let A = {5, {5, 9}, {9}, 0}. Answer each of the following questions. 1) |A| = =

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

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Q: II. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere ² + y²…

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Q: Q2: Find the solution to the following linear programming problem using the simplex method Max…

A: Converting the given problem into canonical form,( after  introducing slack variables )Max Z =4x1 +…

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A: The formula is I = Prt, Where I = interest earned, P = principal, r = rate of interest, t = time.

Q: = e-t et + 2e²t e2t-3et - е

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A: The present value of annuity is given by PV=PMT1-11+ini substitute the values

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A: This is a problem of the partial differential equations.

Q: Denote by ×7 the operation “multiplication modulo 7” where ? ×7 ? is the remainder when ? × ? is…

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Q: A) B) Solve the initial value problem Solve the differential equation y + 10y +34y = 0 dy e2x dx…

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Q: 9.4 Find a matrix P and a diagonal matrix D such that P-¹AP = D. 9.5 Find A23. (You may write 223,…

A: This is a problem of Vector Space.

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Q: SET-UP a triple integral that will solve for the volume inside the sphere a² + y² +2²= 2z and above…

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A: We will use divergence theorem

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Q: Determine whether the set {P1, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A: Let V be a vector space . let v1,v2.....vn ∈V are linearly independent iff c1a1+c2a2+...+cnan=0…

Q: Problem show that the Force F. (Y²Z²_6X2² ) ( + 2x4²²) 22 +(3xy 2² - 6x³2) Kis Conservative, hence…

A: Where C is arbitrary constant. Which is the required potential function.

Q: 12. A company wants to show how fast its cars can accelerate when compared with the competition.…

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Q: 4. For the given matrix -2 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and…

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Q: 21) See the diagram. Solve for x. a.852 b.8 c.452 d.52 X

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Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3)=9 The solution is -2√y = In |x-2- -…

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1 -6 0308 4 + 5 4.)

A: We Know that, The addition of matrices or matrix addition can only be possible if the number of rows…

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Q: Obtain the general solution to the equation. dx + 6x = 9y8 dy The general solution is x(y) = y-…

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Q: (-1)":nEN (a) Find the infimum and supremum of the set S= = {2-(-1)" (b) Prove or disprove: If a set…

A: Here, we need to find infimum and supremum of given set.

Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

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Q: ^. Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx+cy…

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Q: 1.571 1.283

A: Given quadratic equation x4-x-8=0 is defined with as initial guess of 1 and 2.We know that the…

Q: Discuss the convergence of the following sequence: a(n) =

A: A sequence is said to be convergent if it converges to a finite limit.

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A: We will find limit of integral from given boundary surface .

Q: we the following problem. Upload your plete and organized solutions. Given the following vectors:…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find a subset ofbthebvectors v1=(0,2,2,4), v2=(1,0,−1,−3), v3=(2,3,1,1) and v4=(−2,1,3,2)that forms…

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Q: 02 2 1 0 -1 23 -2 1 3 -3 1 2 is row equivalent to the matrix D = 1 0 -1 -3 01 1 2 00 1 00 The matrix…

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Q: 2n+1 in² (n+1)² 00 Q:- (A) Find the sum of the following series : n=1

A: Given series is ,                 ∑n=1∞2n+1n2(n+1)2 We find sum of the given series .

Q: 2. Find the convergence interval and radius of the series: √n (2x+5)* n=1

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Q: 16. Given: 6x + 15y = 51. What are the possible solutions of x in the given Diophantine equation if…

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Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: TRUE or FALSE: 1. There is no integer n such that 4 | (n^2-2) 2. The GCD of all prime numbers is 1.…

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Q: Find the root of x²-x-10 = 0 approximately up to 5 iterations using Bisection Method. Let a = 1.5…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: 7. Study the Venn diagram below and then answer the following questions: 15 B A 9 4 8 300 7 5 2 1 10…

A: Only D and E asked and answered.

Q: 1. Which pairs of integers have a GCD of 16 and LCM of 576? a. 32 and 288 b. 48 and 192 c. 80 and 96…

A: 1)  We need to find which pairs of integers have a GCD of 16 and LCM of 576. We know that , the…

Q: 2.. Evaluate the double integral: So So VVT (Hint: Change the order of integration to dy dr.) -…

A: Let us consider the double integral ∫ab∫f(x)g(x)F(x,y)dydx The change of order of integration is…