2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

Q: dy 5. Vy -1

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Q: 3n 8 If tan 0= find the exact value of each of the following. 2 cos (20)

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Q: F(x) = e2x C = 0

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Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: Evaluate the following Integrals: sin(4t) – 3 sin(2t)² dt 5 Vsech(4x) tan (4x) dx 1. 6. 7. sinh 3y…

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Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

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Q: Consider the system of differential equation x1' = t°x1+ 9 sin(t)x2 x2' = e*x1+ t°x2 Write the…

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Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

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Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: To Find : Values of the given functions.

Q: Find the length of the curve. 9) The spiral r = 202, 0 s 0 s 2^/3

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Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

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Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 9, f'(9) = 5…

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Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

A: We can solve as follows

Q: Evaluate the following Integras: 1. ( sin(4t) – 3 sin(2t)² dt 6. Vsech(4x) tan (4x) dx sinh 3y dy 6,…

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

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Q: Let g(8) = (2s – 1)°. Then g'(8) is 9'(1) is 9'"(8) is and g''(1) is

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Q: Use the figure to evaluate the following function, given that f(x) = sin x. (Simplify your answer.…

A: Given diagram,

Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the x-axis. Using circular disk…

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Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: Let's find.

Q: 2n+3 {a,} = 7n- 2 7n+4)

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Q: dy -1

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Q: Determina the vector field of F. F(1, y) = yi -j

A: Please see the below picture for solution.

Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

Q: f(x)= sin (x² +2x)

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Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: Step 1 To find the definite Integral 9 dx by the limit definition, divide the Interval [2, 7] Into n…

A: For the asked steps we can solve as follows.

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY…

A: limn→∞ sech(n)=limn→∞ 2en+e-n=limn→∞ 2e∞+e-∞=limn→∞ 2∞+0=0limn→∞ sech(n)=0

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

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Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

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Q: If f(x) = 4,/¤In(x), find f'(æ). %3D Find f'(2). Submit Question

A: Given

Q: Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets…

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Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

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Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

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Q: Choose the right description for the given differential equation 3 Sm :) + 8 m бр? COS m + Т. %3D O…

A: The given DE is: δmδn2+δ2mδp2=cos m+T

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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