Evaluate the expression under the given conditions : Sin (O+p)-?, Sind= 15 O in Quadrant I 17 ) 2√5 Quadrant 4 cos 389=-222², gin y کی

Q: f(t) = e-2t sin³ 3t

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Q: The position of an object at time t is given by the parametric x=5t²+2t y=2t² +4 equations Find the…

A: Please see the below picture for detailed solution.

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…

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Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: f(x, y) = fx ( - 2, 2) = 2 2 3x² + 5y²

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Q: Consider the function below. f(x) = x²e-x (a) Find the exact value of the minimum of f for x ≥ 0.…

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Find the following using the table below. x 1 2 3 4 f(x) 2 1 4 f'(x) 3 1 g(x) 4 3 2 1 g'(x) 1 3 2 4…

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Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

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

Q: 2. The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point…

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Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

Q: Given f(x) = 13x³ + 18x² - 4x + 22

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Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 6x F(x) = cos(t¹) dt. […

A: To use the fundamental theorem and find derivative

Q: In decomposing the rational function C (x + 1)² A x - 5 01 0-1 O-2 02 + 0 0 B + x + 1 2 x² + 11 -as…

A: Explained below

Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

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Q: Determine which graph corresponds to the area enclosed by the curves y= O O Find the area of the…

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Q: The function f(x) - 2x³ + 30x² - 126x + 7 has one local minimum and one local maximum. This function…

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A: We have to choose the correct option from the given options according to the given information

Q: A closed box with a square bottom has a total surface area (all 6 sides) of 400 square inches.…

A: We have given a box with a square bottom length = width = w inches Surface area = 400 in2 Surface…

Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: Suppose you know the following: • ƒ( − 8) = 4 f'(-8)= -7 f'(x) is continuous for all x ● Find the…

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Q: Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x)…

A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

Q: Question 18 U= Consider the indefinite integral fesz +3 6x a) This can be transformed into a basic…

A: Solved below

Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: Evaluate the following integrals (cont'd) (c) S dx (9-x²)3/2 dx

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Q: How many units is the arc length of the curve y = point where x = 3? ³/2 from the point where x = 0…

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Q: Let f(x) = 5 сл | 8 9e*. Find the general antiderivative of f(x)

A: Antiderivative of a function f(x) is a function whose derivative is equal to f(x). So, to find…

Q: What is dy given that y = ln (4- x? 1 x-4 dx 4 O I da I 4 dx 4-x

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Q: On which of the following intervals can the domain of y = cos x be restricted so that an inverse…

A: Given    y =cos x The value of cos x can vary from -1 to 1

Q: Question 12 Given point P(1, 2, 3) and Q(2, 3,-1). Find the vector projection of Rop and Rog A.…

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Q: O Find the points at which the polar curve r = 4cose has horizontal tangent lines.

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Q: 11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of…

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: The linear density of a rod of length 9 m is given by p(x) = 4/√x, in grams per centimeter, where x…

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: Assume f and g are functions such that f(x) dx O 5G(x) - 2x + C OG (5x-2) + C O 5G(5x-2) + C OG(a) +…

A: Please see the below picture for detailed solution.

Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

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Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: 1. Evaluate the indefinite integral f sinecose de 1+sin²0

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Q: t+1' The park is concerned about the number of invasive insects found along their hiking trails. The…

A: Please see the below answer.

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Find the most efficient substitution for the integral textbook. Enter f(2). Answer: e²x dx 1+Ax /₁…

A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be…

A: Given  M1 =400 M2 =900 Total Cost  = The cost of installing along the length D + The cost of…