Identify the system as independent, inconsist analytical method 1. x+y=4 *ーy=6 2. x+y=8 2x + 2y = 16 3. オーy=4 *ーy=8

Q: 2. Acylindrical tank with radius 5m is being filled with water at a rate of 3 m'/min. How fast is th...

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Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: Evaluate f tan²xsec*xdx using trigonometric integrals

A: Our Aim is to evaluate the integral given below:-∫tan2 (x) sec4 (x) dx -(i)

Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the v...

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Q: Given: sing = - e is a third quadrant angle, and tand = - is a second-quadrant angle; find cos(e+ d ...

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Q: Time Velocity (cm/sec) Velocity (cm/sec) Time (sec) (sec) 28 1 30 15 56 25 15 38 10 33 -23 45

A: To find:- The accompanying table shows the velocity of a model train engine moving along a track for...

Q: Use substitution to evaluate the integral 6 cos t (2+ sin t)? dc 6 3 3 + C 2+ sin t + C 2+ sin t + C...

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Q: 2 3+1 (z2 + 4 )? dx. Which of the following is equal to the given integral? O x 3 +1 = Aæ + Ba? + ( ...

A: given I =∫ x3+1x2+42dxf(x) = x3+1x2+42by method of partial fractions f(x) can be written as\x3+1x2+4...

Q: solve for nonbemagnenous dileremnial equation.

A: We have to find the general solution of initial value problem

Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

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Q: If f(x)=7+6x−5x^2, find the equation of the line tangent to the curve f(x) at x=4 y = ?

A: We have to find tangent line equation. Given f(x)=7+6x−5x2 and at x=4 we have to find tangent line e...

Q: 8x2 + 2x + 3 p: x(4x² + 1)

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Q: Write an equation (any form) for the quadratic graphed below: 4- 2- -5 -4 3 -2 -1

A: Vertex =(h,k)=(2,1)From graph ,Parabola passes through points :(0,-1) &(4,-1)std equation of par...

Q: x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

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Q: 34. Give linearly independent functions that are annihilated by D°(D – 2)(D+3).

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Q: dx J (V32 + 4)3

A: To find:-

Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: dx Evaluate f- using trigonometric substitution x²(2+x²)

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Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =x° +x - 2x + 12 has a real zero...

A: The objective is to find the correct option.

Q: The Heaviside function is used in engineering applications to model flipping a switch. It is defined...

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Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: 1)) The point H(2, 6) is reflected over the x-axis. What are the coordinates of the resulting point,...

A: The given point H(2, 6)

Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of...

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Q: x y e**y + y² e* v´ +1) dæ + (a? e* v + 2 x y e* v° – 2 y) dy = 0

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Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equ...

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Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A...

A: The given hyperbola equation,        4y2-x2=4

Q: Find the​ curve's unit tangent vector.​ Also, find the length of the indicated portion of the curve.

A: Given that      r(t) = 6t3i + 2t3j + 3t3k  , 1<=t<=2 

Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: csc 2x - cot 2x = 1

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: A linear function f(x, y) = ax + by + c has no critical points. Therefore, the global minimum and ma...

A: Given function f(x,y)= 4+6y-24x  Now since it is a linear function it has no critical point. So the ...

Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: MULTIPLE CHOICE) Which of the following statement (s) is(are) true? I. y = e-/2 is a particular solu...

A:  Given perticular solution y=e^(-x/2)  And y=e^(2x)cos3x

Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: If the linear relationship between Y and X is positive (as X increases Y also increases), then there...

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Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

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Q: Prove the following identities. cos( - ) sin x/2

A: NOTE: Refresh your page if you can't see any equations. .

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) # 0

A: Let's find. 

Q: What is the y-intercept of the function y = cot I? || ㅇ(T,0) O (0,0) O (1,0) (0, 1) O It does not ha...

A: The function is given as y=cot(x) The objective is to find the y-intercept.

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

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Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: (a) Find (g/f)( x) and (fog)(x) for the functions f(x) = x2+ x and g(x) = - 2x+3. 1 a) g/f: fog: (b)...

A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: dy for: (x + y) = x – y + 8 da 1. Find 2. If a ball is thrown vertically upward with a velocity of 8...

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Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of...

A: Coordinates of vertices are:-