A parabola can be drawn given a focus of (6, 3) and a directrix of x = 4. What can be said about the parabola? The parabola has a vertex at D, has a p-value of ㅁ and it

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: ft=t,0≤t<70,t≥7

Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

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Q: -4 -3 -2 II 5+ 4+ 3+ 2+ 2 estion Heln: 1 2 3 4 5 Video

A: Topic:- polynomial functions

Q: Graph the function given below by moving the vertical asymptote, then the value of the -intercept.…

A: Let's draw the graph.

Q: what

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Q: (c) (d) x² + 4x +3 √√x y = 2(11x + 4)³ y =

A: As per student request , I solve only (c) and (d) part. (c) The function is given as , y=x2+4x+3x…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Consider the Gompertz equation, a modification for logistic growth, which is often used for modeling…

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Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: To find the inverse Laplace transform.

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: on (2.41. A(x) = Incorrect

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Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…

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Q: Use the Root Test to determine if the given series converges absolutely or diverges. ∞ Σα 1 ( 9) n…

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Q: Prob. 2 Find the derivatives of the following functions using any technique available. (a) (ots)…

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Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: II YOLUMES OF REVOLUTION 1. Find the volume generated by revolving about x-1, the area bounded by y…

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Q: -10 -5 15 15 5 X 10

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Q: 4). Write the first-order differential equation in standard form. (Use yp for y'.) y' = x9y +…

A: Solution is given below:

Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci

A: Here we have to find the equation of an ellipse.

Q: Complete the table by identifying u and du for the integral. [ f(g(x))g'(x) dx [x²√x² + 6 dx U= u =…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: 1 cosa + sin æ sin y = sin 3y (³) COS (2) for all az and y such that x + y = 2

A: Given: LHS:            12cos x+sin x sin y=12cosπ2-y+sinπ2-ysiny=12siny+cosysiny=sin2y+siny2=122…

Q: if the limit at infinity exists find the limit lim(inf)=3x^3+5x/4x^4+10x^3+2

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: solve each of the following nonhomogeneous differential equations. 6. (D²-1)y=2(1-e-²x)-1/2

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

A: Note: Since the student has not given Theorem 7.1.1 to find the Laplace transform, so we solving…

Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 1.

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Q: The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored equation…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: ) . Is the differential equation linear? dy dt + y4 = x

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Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: Give the applicable trigonometric substitution formula for S A. x=2 sin 0, dx = 2 sec ² 0 de B. x…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use the Laplace transform to solve the given system of differential equations. dx dt dy = 5x - y dt…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = -4t² + 8t + 5…

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: A parabola can be drawn given a focus of (-4,-10) and a directrix of y = -2. Write the equation of…

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

Q: Solve: y(1) Given: y'-y=1, y(0)=0

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Q: # (u²-1)4 (u² + 1)4 du

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