2 Y ² = X₁ X=2 AOR LATUS RECTOM

Q: If f(x) = f'(x) = f'(4) = 4x + 7 2x + 3 find:

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: 21

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Q: The function below has at least one rational zero. Use this fact to find all zeros of the function.…

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Q: The equation implicitly defines z as a function of t. Find dz dt 11 dt cos (3 z) = -8

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Q: y=x² + 8x - 9 -intercept: (x, y) = -intercepts: (x, y) = (x, y) = (smaller x-value) (larger x-value)

A: Given query is to find x and y intercepts.

Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09  x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: Given problem:- The population of mosquitoes in a certain area increases at a rate proportional to…

Q: A company's revenue from selling x units of an item is given as R = 1000x - x² dollars. If sales are…

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Q: Given polar curves A₁: r = 1 + sin 0 and A₂: r = 3 sin 0 1. Solve for the polar coordinates of the…

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Q: Evaluate the limit. 1-x² lim *+1 sin(27x) a) lim b) x+2x² C) lim - - 2x *→(π/2)- (2-) tan r Show all…

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Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light which…

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: ΣΕΠλη της 9 - 515 +1 _h=1

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Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Consider the equation below. 12 3-sin (8) (a) Find the eccentricity. e " (b) Identify the conic. O…

A: Given equation :- r=123-sin(θ)

Q: QUESTION 2 a) Evaluate the area of a region that lies inside the circle x² + (y-3)2 = 9, but outside…

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Q: Evaluate the integral, which has irreducible quadratic factors. (Use C for the constant of…

A: We will find the integral.

Q: Given a = (5, 10) and p = (1, 3), find – ả + 4p. 10 - a + 4p =

A: a→=<5,10> and p→=<1,3>

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. sin(8) =…

A: topic- trigonometric ratios

Q: Let (-7, 3) be a point on the terminal side of 0. Find the exact values of Sin Ø, Csc Ø and Cot Ø

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Q: Write an exponential formula of the form f(t) = a b' to represent the following situation. Assume t…

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Q: 1. Sketch the graphs of x = 6y-y² and x = y² - 8. Shade the region bounded between the two curves.…

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Q: of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

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

Q: Evaluate the six trigonometric functions of the angle 6. (a) (b) sin(8) = cos(8) = tan(8) = cot(8) =…

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Q: Solve the following inequality. (x+5)(x+3)(x-7) <0

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Q: Finding the Volume of a Solid. use the shell method to write and evaluate the definite integral that…

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Q: Find a particular solution to Ур || y" + 7y + 10y = 15te¹.

A: Given differential equation is y''+7y'+10y=15te4t We have to find a particular solution for it.

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj+yzk; (9,-9, 9) curl F…

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Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: Find the one-sided limit (if it exists). lim 11x² tan ex Step 1 The sign of the value of x² is…

A: To find the one‐sided limit if it exists.limx→12+ 11x2 tan πx

Q: Consider the function y = f(x) graphed below. Give the x-coordinate of a point where: A. the…

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Q: Is using the Quotient Rule equivalent to using the L'Hospital's Rule? Explain. Please use clear…

A: We have to explain, using the Quotient Rule equivalent to using the L'Hospital's Rule.

Q: 5 Find the equations to both lines through the point (2,-2) that are tangent to the parabola y = x²…

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Q: Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

Q: EX: Show that circle.it 10 Sol: Z= re io dzir e do 24 & dz = 2πi where c is a unit § C:1Z1 =1 10 ire…

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Q: find X so that the net present worth of the investment is zero

A: answer is given in step2

Q: Calculate the following two indefinite integrals. Thank you. (6e^(2x)-5x^(3)+(4/x)+3)dx

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Q: f(x( = (x( sinx

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Q: Suppose the dollar cost of producing x video cameras is…

A: We need to find marginal and average cost.

Q: Use Green's Theorem to evaluate the line integral. √y² dx + xy dy C: boundary of the region lying…

A: We have to evaluate the integral.

Q: Use a graph to find approximate x-coordinates of the points of intersection of the given curves.…

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Q: Evaluate the iterated integral. 2 √4-3²3-8²-12² SS S x dz dy dx 0 -S+x² + y²

A: Given, ∫02∫04-x2∫-5+x2+y23-x2-y2xdzdydx

Q: The Integral xy√√x² + y² dydx is equal to 1 Select one: O /(2√2+1) //(√2-1) 15 O /(2√2) /(2√2-1) O…

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Q: Exercise (b) Find the slope of each secant line. Step 1 Recall that the slope of a non-vertical line…

A: Since the secant line is passing through another point Q(3,3) Therefore we will substitute x = 3 in…

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

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