2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

Q: Two vertical poles are 30m apart. The poles are 10m and 15m high, respectively. They are to be…

A: given

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: 06: a: Let A = Find (2A-I)B' 3 0 11 0 1 2 -1 1 5 =[₁ B = -2 0 3 2

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Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

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Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

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Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: The graph of the function y-/x) is below. f(x) X B From largest to smallest, what is the order of…

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Q: A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping…

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Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: Exercises:- Calculate the following limit statements. x²-sin²2x 1)lim (tanx) cos 2) lim x-0 x² X-2…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

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Q: 5. y = log(7x + 3). 4²x¹+8

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Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given the interest increases exponentially. The investment is $4000 and the interest in 3 years is…

Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: Suppose the function fix)=Lnx-x² + 2X-1 the interval... contains at least one root of A(-2,-1] B…

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Q: Solve the initial value problem y" + 4y′ − 32y = 0, y(0) = a, y′(0) = -80. Find a so that the…

A: We can solve this as follows:

Q: √√³0 3 dA over the region R = {(x, y) | 0 ≤ x ≤ 4,0 ≤ y ≤ 2} by identifying it as the volume of R…

A:

Q: 2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2…

A: Please see the below picture for detailed solution.

Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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Q: Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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Q: Compute the area that is inside r = 3 + 3 sin and outside r = 2.

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Q: Find an approximation of the area y = 16 - x² over the interval [0,4] using L6 (left end point…

A: Use: Area=∆xf(x1)+f(x2)+f(x3)+f(x4)+f(x5)+f(x6)       where ∆x=b-anwhere n= no. of rectangle…

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A:

Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…

A: consider the equation of parabola is  y=ax2+bx+c

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: y=f(x)=xx2+4

Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

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Q: Evaluate. 7u [(e70 +4u) du (eu +4u) du = (Type (Type an exact answer.)

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: The Gamma Function is defined by [(x) = fx-¹e-tdt, positive integer then prove that for na T(n) = (n…

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Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

A: If f '(4) = 0 and f '(x) &lt; 0 for 0 &lt; x &lt; 4 and f '(x) &gt; 0 for 4 &lt; x &lt; 5 then f has…

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: Given points P(2,1,3) , Q(1,2,1), R(-1,-2,-2) and S(1,-4,0). Find the shortest distance between…

A: We will use

Q: 24\x² dy_ (xy + y ² ) d x = 0

A:

Q: The graph of the function y=f(x) is below. f(x) N C X B From largest to smallest, what is the order…

A: We have to answer given Questions.

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

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Q: If y₁ and y2 are linearly independent solutions of ty" + 3y + testy = 0 and if W(y₁, y₂)(1) = 4,…

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Q: O cos y (cos x + 1)

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Q: Evaluate the following indefinite integral. 7 1+8t -dt 5t (Type an exact answer.) √ 1+8t 5t -dt=

A: The given integral is ∫1+8t75t dt