What is the equation of the axis of symmetry for the parabola y=-1/(x+3)²-5? O x = -5 I O x = 5 Ox=-3 Ox=3

Q: 2. Given: y = 4 sin applifude b. period C. phose chift ditumine;

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Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

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Q: 06 * 1. Fish enter a lake at a rate modeled by the function E given by E(t) = 20+ 15 sin (Z). a rate…

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Q: Find the standard equation of the sphere that has the point (-6, 0, – 3) and (6, 3, of a diameter.…

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Q: Prove the identity. 9 cos³x=(1-sin²x) 4 2 COS X

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Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay =…

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Q: find the maximum value of p=10x+15y+26 given the following constraints: y-x<=1

A: Find the maximum value of P=10 x+15 y+26 given the following constraints: y-x≤1

Q: Find the average rate of change of the function f(x) = = Average rate of change Give exact answer! =…

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Q: 2. A city block is in the form of a parallelogram whose shorter diagonal AB is perpendicular t side…

A: Topic - Similar triangles and area of parallelogram

Q: The position function of a particle is given by r(t) = (2+², −2t, t² + 3t). At what time is the…

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Q: Question 1: It P(t) O 0 2 36 4 43 6 47 8 52 10 60 Kunyu's family has an above ground swimming pool…

A: We can solve the given problem by using the derivative concepts.

Q: 3. A 1500-L tank leaks water so that the volume of water, in litres, remaining after t days, 0≤t≤15,…

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Q: 8. Determine two positive numbers whose sum is 16 and whose product is a maximum. a. 8,8 b. 7,9 c.…

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Q: Find f (0) and find x when f(x) = 0 for the following function -5 10 5 0 -5

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

Q: The function f(x) = except when x=2 3x²-5x-2 x²-7x+10 except at x=2 and x=5 = 3/3/201 O except at…

A: given  f(x)=3x2-5x-2x2-7x+10for continuous x2-7x+10≠0

Q: Find the horizontal asymptote of the graph of the function. √√9x² x+1 1-3 w(x)= ; lim w(x)=

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Q: (-1)n² n² n³n+2 lim n→∞ n³

A: limn→∞(-1)n2n2n3-n+2=?

Q: 6. Find the volume of the solid generated by revolving the 1st quadrant region bounded by the curve…

A: Here we have to find the volume.

Q: Question 2 Find all the points on the curve x²y² + 2xy = 3 where the slope of the tangent is -1.…

A: The given curve is: x2y2+2xy=3 To find all points on the curve where the slope of the tangent is -1…

Q: 4. Find the equation of the plane that contains both the lines L₁ and L2 whose parametric equations…

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Q: Find sin 2x, cos 2x, and tan 2x if sin x = √5 and x terminates in quadrant

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Q: What is the reference angle for a standard angle of 225° (when submitting your answer just write the…

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Q: 7. Find the surface area generated by revolving y = x² from x = 0 to x 2 about the x-axis. = a.…

A: To find the surface area generated by revolving y=x2 from x=0 to x=2 about the  x-axis.

Q: Rewrite sin (2 sin ¹4v) as an algebraic expression in v.

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Q: 1. The sum of the first five terms of the sequence n+ in simplest form is

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Q: Let the graph below represent f(x) on the interval [−2, 2]. For which values of x is ƒ'(x) = 0? 3

A: We know that the function has derivative 0 at the bumps. So, from the given graph, f'(x)=0 will be…

Q: For the function v (t) = 4t² - 6t+2, determine the value(s) of t on the closed interval [0, 3] where…

A: INTRODUCTION The Average Rate of Change function is defined as the average rate at which one…

Q: 10. The graph of the quadric surface 4x² - y² -z = 1 is a/an

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Q: Integration of a function F(x, y) over the triangular region shown below involves the following…

A: Using a vertical strip we can find the upper limit of integral

Q: Find the exact value of sin 11π 12 by using a sum or difference formula.

A: sin (A +B ) = sin(A)× cos(B) +cos(A)×sin(B)

Q: Given the function f(x)=2x³ −12x² +30, Determine the stationary point(s) of f(x) = 2x³ −12x² +30,…

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Q: Use the information given below to find tan (a+ß). 5 12 3 5' tan a = cos B with a in quadrant III…

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Q: Find an equation of a sphere if one of its diameters has endpoints  (1, 4, 6) and (3, 8, 8).

A: Here we have to find the equation of a sphere.

Q: Use the information given below to find tan (a +ß). sin a = cos B 3 5' 4 5' with a in quadrant IV…

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Q: Find the vertical and horizontal asymptotes. (6x^(2)-10)/(x-5)

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Q: The graph of an equation x² + y² + 2² − 2x + 4y + 6z + 14 = 0 is a/an

A: Given equation: x2+y2+z2-2x+4y+6z+14=0

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(0, 4, -1). NOTE: Enter…

A: To find the directional derivative of fx, y, z=2yx+z at P3, 3, -2 in the direction from P to Q0, 4,…

Q: compute the (tangent) velocity vector f(t) for the given value of t. A) Let r(t) = (cos 5t, sin 5t).…

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Q: Question 15 Find an equation for the tangent line to f (x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x -…

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Q: Differentiate the function. h(x) = 14 csch-¹ (x³) Give your answer in exact form. h'(x): = 42x²…

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Q: Find the particular solution of the differential equation y′–xey=2ey, given the initial condition,…

A: We can solve the given differential equation by using the variable separable method.

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: Find the velocity and position vectors of a particle with acceleration a(t) = (0, 0, 8), and initial…

A: NOTE: Refresh your page if you can't see any equations. . the acceleration vector is  the velocity…

Q: 1. The amount of pollution in a certain a certain lake is P(t)= (tª + 3)³, where t is measured in…

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Q: Prove that the equation loes not have any rational solution. x² = x + 1

A: I  proved this problem  by method of contradiction.

Q: What is the slope of the line that passes through the points (7, -9)(7,−9) and (6, -11)(6,−11)?…

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Q: Find the equation of the sphere if one of its diameters has endpoints (6, 4, -7) and (8, 8, -1)…

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Q: the angle in standard position with the appropriate reference Choose... Choose... 60° 50° 30° D (…

A: We  will find the required reference angle.