Using substitution show y = 1+ Ce-t² is a solution to dy + 2ty = 2t dt

Q: Given slope m = 3 and x-intercept (-4,0), write the equation of the line in the form Ax+By = C.…

A: For given m and point we have to find equation of line.

Q: Draw nullclines and Phase portraits and specify the type of equilibrium points using phase…

A: Given: x'=x+2yy'=-5x-y To find: Points

Q: 1. The cancellation law holds in a. any ring b. a commutative ring c. an integral domain ring

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Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie…

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Q: 3. Let f [2,3] → {1,3} be a continuous function such that the equation f(x) - x = 0 has a solution a…

A: 3 Give that f:2,3→1,3 be a continuous function such that the equation fx-x=0 has a solution x in…

Q: (14). Obtain using Jacob's method, all the eigen values and eigen vectors of the following matrices:…

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Q: (6). If V (km/hr) and R(kg/ton) are related by a relation of type R = a + bV2, find by the method of…

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Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

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Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

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Q: Given the system of linear equations, X + Y 2, X + 2y + Z 3, X + Y + (k²-5)z k, where k is a…

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Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: Solve for x.

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Q: 8*. For each of the following functions, determine which, if any, of the following conditions the…

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Q: LEARNING TASK A Directions: Write Yes, if the two triangles are congruent and No if not. State the…

A: State the congruency of the figure 1.

Q: 5/65 Determine the x- and y-coordinates of the centroid of the shaded area. Ans. X = 133.5 mm, Y =…

A: Solution :-

Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Q=∫02∫-4-y20∫x2+y28-x2-y2ydzdxdyRegion of integration,0≤y≤2-4-y2≤x≤0and x2+y2≤z≤8-x2-y2

Q: 1. Let V be the set of all 2 x 2 matrices A= a. Is V close under addition? Show your proof. b. Is V…

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Q: Seven line segments with lengths no greater than 15 cm and no shorter thatn 3 cm are given. That 3…

A: Solution:By the triangular inequality theorem, a side of a triangle must be less than the sum of the…

Q: Why is it 27216 rather than 3024? and 109 instead of 9,000,000,000?

A: Multiplication is done directly that's why you get confused , I am including step by step

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

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Q: Create a cartesian equation of a line in R using the digits (6,-5,-4). o Find a NEW cartesian…

A: As per the question first we have to construct a cartesian equation of line in R2 using the digits…

Q: 7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:- a. 5 b. 28/5 c. 25/7 d. 4

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

Q: 10. Let X be an inner product space and T: X→→→→→X an isometric linear operator. If dim X<∞, show…

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Q: ..) If an arrow is shot straight upward on the moon with a velocity of 73 m/s, its height (in…

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Q: 12. Find the value of x for m48-46 and CD-25. (The figure is not drawn to scale.) D B A. 35.5 B.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 1. Prove that the following functions are quasi-concave: (i) f(x, y) = xy¹, x > 0, y> 0; (ii)…

A: Given: fx,y To find: Quasi-concave function

Q: 1. Let V be the set of all 2 x 2 matrices 4= such that the product abcd = 0 with standard operations…

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: Consider the following. u = ,    v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: Solve the following initial value problem. = Y -5y1 + y2 y₂ = -2y₁ - 2y2 y₁(0) = 1, y₂(0) = 3.

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Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

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Q: 3. For each matrix shown, choose one of the following phrases that best describes the matrix. Give a…

A: Matrix A : is not in echelon form because in column 3 zero are above leading 1's

Q: Find the Fourier series of the odd-periodic extension of the function f(x) = 2x for x € (0,2).

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. Q LLL…

A: Solution :-

Q: 1. Compute u + v and u-2v where u = 2 -5 and v= 1 2

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: QUESTION 1. Find the Laplace transform of the following functions. Here, represents con volution. a)…

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Q: Q2: (A) Choose the correct answer for each of the following: 1. The cancellation law holds in a. any…

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

Q: If f(x)=10*+²-5 and g(x)= log(x+5)-2, show that the functions are inverses of one another using…

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Q: 1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

A: The line passes through the point (−1, 4, -2) and is parallel to v = 5i − j

Q: 5. If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A: For the given question, we can write the function (f÷g)(x) as:f(x)g(x)=tanx3x-32Hence, the domain of…

Q: The shape of Oklahoma can almost be divided into 2 perfect rectangles and 1 triangle. About how many…

A: To find the area of the Okiahome cover.

Q: 2 The region bounded by the y-axis and the curve y = 6x - x²: D[0,3] is rotated around the y-axis.…

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Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

A: Let x be the number  1n of the given number means 1nx Remaining of the number is the amount left…

Q: (i) Sketch the graph of y = cos x for 0° ≤ x ≤ 360°. On the same axes, sketch the graph of y = cos…

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Q: Suppose the functions f, g, h, r and are defined as follows: 1 1(x) = 1093 / +10g, x log3 g(x) =…

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Q: 1) Let S be the equivalence relation on R defined by xSy iff x-y Q. Then a) [√3]-(-√3+r,req) b)…

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Q: Thinking-OPTIONAL-Do you want me to mark this question? 7. If f(x) = mx²-x+2 and g(x)=3x² +nx-4, and…

A: A quadratic function of the form fx=ax2+bx+c  represents a parabola. Here, a, b and c are the…