Evaluate the integral [²(3x² - 2x + 5) d.

Q: C Find the domain range x and y intercepts, vertical and horizontal asymptotes, and zeroes of the…

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Q: 2 of 8 Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms…

A: a) Leta=-2i+5ja^=a|a|a^=-2i+5j(-2)2+52a^=-2i+5j4+25a^=-2i+5j29Therefore unit vecor along a is…

Q: 3. Use the definition to prove that lim (X₁Y)-7 (211) (3x-1)=5

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Q: This problem requires you to solve the following 2nd-order linear, non-homegeneous ODE using the…

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Q: 7. Estimate the following limits numerically or state that the limit does not exist. If infinite,…

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Q: Which of the following functions has a graph that is thegraph of y = 2x shifted down 3 units?(a) y =…

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Q: V= 5

A: Topic:- application of integration

Q: Find the present value of the ordinary annuity. 40) Payments of $450 made annually for 13 years at…

A: Given: Value of each payment = $450 Number of Periods = 13 Interest rate per period = 6% = 0.06

Q: 3. Find the general solution to the DE (x+m) dy =(nx - py) dx where m, n, and p are constants.…

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Q: Solve the differential equation below, when x = ; y = -4. 2 dy dx 5e cosx. If y(37) = a; find the…

A: I have appended the formula used in the solution part of the question

Q: 2. Let f(x, y) = Give the exact value of the following and simplify to lowest terms. a) f (1,2) b)…

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Q: Evaluate Answer: dt t² + t-30 S₁

A: ∫1t2+t-30dt

Q: dy 3-x. = 3, y(1) = 9. dx

A: solve the differential equation 3-xdydx=3

Q: what is x since it isn't what you wrote, i tried solving it myself but its not the right answer…

A: Note: After seeing the previous explanation we observe that the previous answer is correct, but the…

Q: -6 5 ÚT पं -3 5 4 3 2 - O 26 بنا -4 -5 -6 2 m 5 6 x Use the graph to estimate the slope of the line…

A: We will use the graph to select some points on graph and then find the slope.

Q: Write the first three terms in binomial expansion (x2 + 1)16, expressing the result in simplified…

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Q: f(mıy)= √(Y+1) ² (n+1) log (n-y)

A: A function is given and we have to find its domain and range. Domain is the all the input values to…

Q: If the distance between (-4, 3) and (−4, a) is 4 units, find all possible values of a. (Enter your…

A: Let's find possible values of a.

Q: A tank initially contains salt in the pores if inert material and 10 gallons of fresh water. The…

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Q: D Question 10 For some matrix A we are told that A³ = 0 Does that mean A has to be the zero matrix…

A: We have given for some matrix A A3=0 This doesn't mean that A has to be zero matrix also. There are…

Q: A bystander witnesses a train passing by them at t = 0, where the position function s(t) = t³ - 6t…

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Q: questions

A: *Note: As per policy only first question is answered. Question 4. Given: G(z) = (z-6)lnz

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) 3 f(x) = x² -…

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Q: −2+7(14-7)²+(−3−1)

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Q: Find the positive t when the vector →r(t)=⟨9t,9t2,9t2−23⟩ is perpendicular to →r'(t).

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Q: Find the transform of the given function by use of a table. f(t) = 4t³e²t

A: laplace transform of the function f(t)= 4t3e2t

Q: First, convert the equation into polar coordinates then sketch a graph of the rectangular equation.…

A: Consider the given equation. x2+y2+x22=16x2+y2

Q: A company's cost function is C(x)=√√9x² + 1600 dollars, where x is the number of units. Find the…

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Q: Consider the differential equation (DE) 5 j=4 x/+¹y(2) + x² (y(7))12 + xy"+y' = cos(2x). a) Its…

A: Given that we need to find the order degree and number of initial conditions for the given…

Q: Solution of the differential equation y cos²x dz y cos5 x ytanx - sinzcos² T y² cos²x = sinºz + c…

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Q: Find the average value and the value(s) of c guaranteed by the mean value theorem for integrals if…

A: This theorem states that a continuous function on closed and bounded interval has at least one point…

Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: . Given the equation: y = x² + 2x + 3 Determine the critical points, maximum/minimum points, and the…

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Q: A B Which of the following is not a first order linear differential equation? dp dt dy-y²-y +2Pt = P…

A: Explanation of the answer is as follows

Q: lentify the equation as a homogeneous or exact equation differential equation. then solve the…

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Q: 2. The path taken by a particle is a horizontal line as it moves according to the law s = ²²¹ +²²³ -…

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Q: h(x) = 2 2 x²-3

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Q: (A) The integrating factor for (2y - xy²)dx - (3x+x²y)dy = 0 is 5 2xy 5xy

A: If a differential equation Mx, y dx + Nx, y dy = 0 has the form f1xy y dx + f2xy x dy = 0 and if…

Q: Find the derivative of the function r = sin(0³) cos(30). dr de

A: Find the derivative of the given function rr=sinθ3cos3θ

Q: Determine the area bounded by x = -y² + 10 and x =(y-2)²

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Q: 2. Given the following information, calculate the equation of the tangent line to f(x) at x = a: a=0…

A: Equation of tangent line at point a=0

Q: Find the transform of the given function by use of a table. f(t) = 3e-4t sin 5t A B C D E F (s) =…

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Q: Your job is to find some shortcuts for taking derivatives. For example, if the function is of the…

A: The derivative of a function at a point is the slope of the tangent drawn to that curve at that…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The equation of the curve whose slope at any point is equal to y (y − ²) and which passes through…

A: Find the equation of curve whose slope at any point is given by yy-2x and passes through the point…

Q: 4. Show that im (XM) (110) хуу (x-4)² + y² does not exist.

A: see below the calculation and explanation

Q: d is partial derivative show that z = xe^y + ye^x is the solution to the partial differential…

A: Note: Since the student has made an typing error by writing d^3z/ox^3 in the first term of the…

Q: In Exercises. the region. 37. 3 2 ), use an iterated integral to fi y=4-x² X

A: Topic:- Calculus

Q: Consider the following. f(x) = x(x² - 8x + 20) g(x) x² Exercise (a) Use a graphing utility to graph…

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Q: For each of the following rational functions, find the (a) domain and range, (b) the zerces of the…

A: The given functions, i) fx=x+34+x ii) fx=x-1x2-4 We have to find its domain, range, zeros and…