a) Convert a Cartesian equation to parametric equations x² - y² = 4

Q: If f(x) = sin(x³), find f'(x) Find f'(5)

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Q: Zeratul moves along a horizontal line with acceleration function (in ft/s²) given by a(t) = cosht +…

A: Zeratul moves along a horizontal line with acceleration function in ft/s2 given byat=cosht+e2t.To…

Q: dt, then F'(x) = 0 a) If F(x) = √5 / / di 20 3 b) If F(x) = ² = dt, then F'(x) = c) If F(x) = √²/1/1…

A: Given:   a) Fx=∫20x1tdt      we use common integral ∫1tdt=lnt          =lnt20x          Fx=lnx-ln20…

Q: Find the sum. 5 k Σ. 3(1) -1 k = 1

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Q: 5. You are a professional race car driver and your car is moving on a straight track at a velocity…

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Q: 2. √ In x da; u = lnx, dv=√x dx và u= do

A: The given integration is: ∫xlnx dx To find the value of integration.

Q: Let be an acute angle. 21 a) Given: sine 295 b) Given: cose = √√5 c) Given: sine =- 3' √√3 9 2…

A: To find other trignometric values.

Q: 41-46 Evaluate the integral by 41. -2 (10 - 5x) dx

A: As per the rules we are supposed to answer the first question and rest others can be reposted.

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. y(x)…

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Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: V(x) = (14-2x) (8-2x)(x).

Q: What is an example of Leibnitz notation that's used to indicate rates of change? (See Strategy for…

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Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: Find the value of X 56 35 イメー

A: Given query is to find the value of x.

Q: The graph of the equation y = x²+x-2 meets: Othe x-axis at (-2, 0), (-1,0), and the y-axis at (0, 2)…

A: for x-intercept put y=0for y-intercept put x=0y=x2+x-2

Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve…

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Q: Calculate the derivatives of: a. y=bx² b. The above at f(4) C. Y=-2x²

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Q: For the following expression, find the correct partial fraction decomposition. -3x² 10x 38 (3x − 1)…

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Q: Find the domain and range of g(x)= In(tanx) on [0,1]. Show some work or explanation.

A: The given function gx=lntan x on 0, π. We have to find its domain and range.

Q: Given f(x, y, z)=√√√-6x – 2y — z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) = Question Help:…

A: We have to solve given Questions.

Q: Solve the initial value problem using the method of Separation of Variables. y' - x³y=0; y(0) = 2

A: Given query is to find the solution of the differential equation.

Q: 1. √x³ +5 x + 7dx

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Q: A. An inverted tank in the form of a cone is 20 in. across the top and 35 in. deep. Water is flowing…

A: We have to find the rate of surface rising.   According to our guidelines we can solve only one…

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

A: Put value and solve

Q: Use the properties of natural logarithms to simplify the function. f(x)=ln(x/6)+ln(6)

A: SOLUTION-

Q: the following series for conve 2π) 6 3n 2x5x8 2x5x8x11

A: We have to consider the given series are convergent or divergent according to the given information

Q: Solve for t:   7e-.045t=15

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Q: Evaluate the definite integrals using the graph of f (x) below. 6- (a) (b) (c) f(a) da = Number [° ƒ…

A: To evaluate the value of definite integral using graph of f(x).

Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

Q: Solve for y:  3log10(y)=-6

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 3

Q: Question 3. Let f(x) = x - x² and g(x): =ax. Find the possible value(s) for a so that the area of…

A: Let fx=x-x2 and gx=ax. To find the possible values for 'a' so that the area of the region above g…

Q: Evaluating Integrals in Cylindrical Coordinates Evaluate the cylindrical coordinate integrals in…

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Q: 10. 1 -3-3x 3-3x-у 15. 0 J0 Т 0 dz dy dx

A: Topic:- application of integration

Q: Use Stokes' Theorem to evaluate SF. dr where C is oriented counterclockwise as viewed from above.…

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Q: Let f(x) = (3 — 5x)² ƒ(x) has one critical value at A =

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Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

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Q: ". Is (sin x+cos x)² = sin² x + cos²x an identity? (a) True (b) False

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Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: 12. Calculate f 6x-3 x²-x+15 dx (Hint: u-substitution method) 13. Calculate (2x+5) (x³ +5x+3)4…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The given integral is:(a).∫∫R f(x, y) dA=∫AB∫CD f(x,y) dy dx

Q: Given that logb √w = 7, and log x= -6, 1096 y = -9

A: Given query is to find value of indicated expression.

Q: 1. Consider the vector-valued function F(t) = sin(2t) t (2,1,-2), a) Find the domain of F. b) Show…

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Q: 2013, the average surface temperature of the earth was 58 degrees Fahrenheit.  According to one…

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Q: 7:3 af + + 7 d ² -dx Evaluate the indefinite integral + C

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Q: ), find

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Q: Calculate the Centroid of the region bounded by y= x³₁ X-2 and the x-axis. a) using vertical strip

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Q: 24. C.S. √x 3 JO Zey/Vx dy dx

A: The given integral is  ∫14∫0x 32ey/x dy dx

Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: properties of natural logarithms to simply the function. f(x)=ln(5x)-ln(5)

A: Given query is to simplify the expression.

Q: 3- a) Find the area of the region in the first quadrant between, y = 1x and y = x² b) Find the…

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