Find the standard equation Asymptotes y = 4x 3 71 3 17 3' 4 -x and y 3 vertex at (17,9)

Q: 5 Choose numbers from the tiles below to fill in the bar model. Then write and solve an equation…

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Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting.…

A: Given, fx=x2-1

Q: Use the fact that the volume of a tetrahedron with adjacent edges give 1 by the vectors u, v and w…

A: Vector calculation is required

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x3…

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Q: Find 7'' (t), given 7'(t) = (3e−²t, 2 sin(2t), – t³ + 3). ř¹(t) =

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the curvature of the curve r(t) = (1 + t, 2 − 4t, 4 — 2t) at the point t = = 0.

A: To find curvature of the given curve

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: Unit vector u→ in the direction of v→ ⇒v→v→

Q: Use the Binomial Theorem to expand the binomial (a + 2b)6 and express the result in simplified form.

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Q: Consider the space curve (t) = (6 cos(5t), 8 cos(5t), 10 sin(5t)). a. Find the arc length function…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one .…

Q: y = sin(0.5√ √x)/x at x = 1

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Q: Unit 3: Rational Functions Examples: Solve the following rational inequalities algebraically. Verify…

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Q: sketch the graph of each function. Be sure to label three points on the graph.   f1x2 = x2

A: Given function is f1(x2)=x2So, we can say that the given function is a linear function i.e., a…

Q: Suppose that the height of a particle is given by s(t) = t³ - 17t + 41, t≥ 0, where t is measured i…

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Q: In Problems 43–46, the graph of a piecewise-defined function is given. Write a definition for each…

A: graph of the function is : This is a piecewise graph. The line which passes through the origin and…

Q: 11. Given the function f(x)=(2x)² and g(x)=3x+1 a. f(x)+g(x) b. f(x)-g(x) c. f(g(x)) d. f(x)² e.…

A: Given data÷ fx=2x2 , gx=3x+1

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

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Q: = Let y = f(x) = 3x¯¹ + 4x. Find the equation y = g(4) = _ g(x) of the tangent line of y = f(x) at x…

A: Given, y=f(x)=3x-1+4x

Q: 1. Suppose B (t) represents the number of bacteria after t hours. a. What is the meaning of the…

A: f'(x) represents the rate of change of f(x).

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Separation of Variables Obtain the general solution of the equation xydx - (x + 2)dy = 0

A: We have  to solve

Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about…

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Q: A computer password is required to be 6 characters long. How many passwords are possible if the…

A: Total number of letters=26 Total number of digits = 10

Q: Differential equations -Separable dy/dt=3+5y

A: We can solve the differential equation in the below steps.

Q: Determine if the requirements for the mean value theorem are met by the 7 function f(x) = 7x on the…

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Q: The graph of fis shown. Graph f, f and f" on the same set of coordinate axes.

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Q: limx -> 2 (x2/(x-2)2)

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Q: In2-1 , y=0, x= 1, and x = e. 3. Find the area of the region bounded by y= 5x"

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Q: Let s(t) = -8-7 sint where s represents the position (displacement), at time t, of an object moving…

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Q: Find the directional derivative of f(x, y) = direction of Q(1, −1). NOTE: Enter the exact answer.…

A: Directional derivative of the function f(x,y) at point P(a,b) in the direction od Q(c,d)…

Q: Find the limit lim h->0 lim h→0 f(−11+h)-f(-11) h f(−11+h)-f(-11) h 0 if f(x)=1238 - 6x².

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Q: Determine whether ones there can be applied to 7 on the closed interval [a, b]. (Select all that…

A: Determine whether Rolles theorem can be applied to f on the closed interval [a,b]. fx=x23-2, [-27,…

Q: Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals…

A: Solve by formula

Q: Evaluate the following limit: lim (7x+1)3cotx x → 0+ о O lim (7x+1)3cotx = 21 vant O lim…

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Q: Find the directional derivative of f(x, y) = = direction of Q(2, —2). NOTE: Enter the exact answer.…

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Q: Find all critical numbers of of the function f(0) = 2sece+tan@¸ 6 π < 0 < 8π. Select one: a. 0= b.…

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Q: Determine whether the function given below has an inverse function. If it does, find the inverse…

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Q: Find the area of the parallelogram that has u = i − 2j + 2k and v=2j+ k as adjacent sides. NOTE:…

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Q: write the function whose graph is the graph of y = x3, but     Reflected about the x-axis

A: Given, y=x3

Q: 4. Consider the inequality | 2| < 3. As needed, reference back to the terminology of Exercise 3…

A: Given inequality  x−2&lt;3

Q: Let 8₁ = [L1 L2 (A2-1) L₁+L2 x AT Find the value of 8₁ by taking this limit: lim 8₁. Leave the…

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Q: Parametrize the intersection of the surfaces x² + y² = z², 5y = z² using t = z as parameter. (Use…

A: We have to parametrize the intersection of the surfaces x2+y2=z2, 5y=z2 using t=z as parameter.

Q: 6. Evaluate: secº (1/x) tan³ (1/x) dx x² | se

A: This question can be solved using integration by substitution.

Q: Problem 4. dx √²-3x+2° x² - 3x + 2 (a) Compute the following integrals x + 7 (b) / √2+1 dx

A: Concept: In mathematics, integration is a technique for combining or adding the parts to arrive at…

Q: f(x) = -3x² √x²-4

A: Domain is =-2&lt;x&lt;2

Q: Find the arc length (s) of the curve r(t) = (4t - 3,- 2t³/² – 3, S = 75T X 4t³/2 3) for 1 ≤ t ≤4

A: NOTE: Refresh your page if you can't see any equations. . the given vector function is and the…

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Use a linear approximation to approximate 2.001° as follows: The linearization L(x) to f(x) = x³ at…

A: L(x)≈f(a)+f'(a)(x−a)  We have f(x)=x6 and a=2

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

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Q: -5 -4 -3 -2 -1 As x → 1- As x → 1+ I f'(1) = > 10 4 3 2 1 3 5 1 2 (b) Use the definition of a…

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Q: Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…