Find a formula for the quadratic function whose graph is shown. f(x) = -5 y 30 20 10 5 (5,2) 10 15 20 X i

Q: Find the limit of f(t): = 55t+ sin 6t 9t + cos 6t as t approaches - c.

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Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =…

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Q: ↓ 10. Change from logarithmic form to exponential form y = ab" y 5 1 -13 log, y=5.3¹ 11

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Q: Find the distance from the point (3, -8,5) to the line a(t) = (5, −3,−2)t + (0,5, —9) .

A: We can find the distance from the point to the line by using the distance formula.

Q: Solve the right triangle. Round your answers to the nearest tenth. 43° 25 4 b a A a = b =

A: Explanation of the answer is as follows

Q: The vector v=ai+bj is perpendicular to the line ax+by=c. Use this fact to find an equation of the…

A: Please see the below picture for detailed solution.

Q: Find the area of the triangle determined by the points P​, Q​, and R. Find a unit vector…

A: The given points are: P=-2, 2, 1Q=1, 0, 2R=0, 1, -2

Q: 5. A portion of the graph of a function f(x) is shown. 7 6 5 4 3 2 1 I 1 1 2 3 4 5 6 7 Find a value…

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Q: -6 (18 x x 4 + ²) bx² Y ។ 'F' 8.

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Q: Starting with the graph of y = e x  write the equation of the graph that results from (a) reflecting…

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Q: Consider the points below. P(3, -2,5), Q(-1, -2, 1), R(2, 1, -3) (a) Find a nonzero vector…

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Q: Find the value of when f(x) = { if the limit exists. 2. limit 1. limit does not exist = 3. limit = 6…

A: The function is given by fx = 4x-1, x≠16, x=1 To evaluate: The value of the limit limx→1fx Condition…

Q: 3. 4x²-6x+6 2x-1 dx Ans: x² - 2x + 2ln|x-1| + C

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Q: Determine the integral by making the appropriate substitution. X dx [x² cos x³

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Q: Find the Laplace transform of the function √3, 0<t< 2π 0, 2π ≤ t < 00 f(t) = { NOTE: Express the…

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Q: Find the lengths of the sides of the triangle PQR. |PQ| = |QR| = |RP| = Is it a right triangle? Yes…

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Q: a) The sum of the first 18 terms of an arithmetic series is 513, and the 18th term of the series is…

A: a) The sum of the first 18 terms of an arithmetic series is 513, and the 18th term of the series is…

Q: 1. Find the Derivative of the function. Show your complete solution. a. ƒ(x) = (5x² +8)(x² − 4x − 6)…

A: derivative

Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

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Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

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Q: 3. Consider the piecewise-defined function a) Sketch the graph the function f(x) b) What is f(1)?…

A: Please see the below picture for detailed solution.

Q: A closed rectangular container with a square base is to have a volume of 2000 in³. The material for…

A: given volume is 2000 in3cost of top and bottom is $2 per in2cost of side material is $1 per in2total…

Q: dy = dt 4 exp(-)-8 sin(at) Here, ao = s and s is seconds and a The initial condition is y (0) = 0…

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Q: Equation: y= Function: Yes or No Equation: y= Function: Yes or No Equation: y= Function: Yes or No…

A: Please see the below picture for detailed solution.  Note : A graph will not be a function if for…

Q: Find a parametric equation for the line through the point (-8,10,0) and perpendicular to the plane…

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Q: A cone-shaped paper drinking cup is to hold 20 cm³ of water. Find the height and radius of the cup…

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Q: Let f(x) =    x2 + 1 if x < 2 (x − 3)2 if x ≥ 2 . (a) Find the following limits. (If…

A: given   f(x)=x2+1      if x&lt;2(x-3)2    if x≥2for  x&lt;2,    f(x)=x2+1for  x≥2,  f(x)=(x-3)2

Q: 2² Find wheref=x² + In(x²). dx² (*) Ⓒ*) O (*+)

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Problem 7. Find a parametrization of the curve of intersection of x = cos(z) and y = sin(z) from (1,…

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Q: Find k if the curve y = x² + k is tangent to the line y = 20x. k= i

A: Given: If the curve y=x2+k is tangent to the line y=20x

Q: Integrate the following: dy S (9-y²)2 (a) (b) So 3 dx √16+9x2

A: To evaluate the following integrals. (a) ∫dy9-y232 (b) ∫01dx16+9x2

Q: Consider two spheres, defined by x^2 + y^2 + z^2 = 1 and (x − 2)^2 + (y − 6)^2 + (z − 3)^2 = 16,…

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Q: B global and local maximum A local minimum O a. For a maxima, O b. For a maxima, In the Picture,…

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Q: Find the tangents to the graph shown below at the origin and the point (1,2). y= 4x fx²+1 ·10 8 6…

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Q: Find the length and direction​ (when defined) of u×v and v×u. Where u=5i+2j−4k​, and v=0. I u x v…

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. -14 0 y = f(x) 1 48…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find the derivatives of all functions 2 = (₁0 (a) y = (b) (c) (d) cos x 1-sin x x² x² +1 y = x² Arc…

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Q: Find an equation of the sphere that passes through the origin and whose center is (2, 4, 2). Need…

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Q: PART THREE: ab* + k ➤ In this part, you are going to explore the effect of parameter k to the…

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Q: PART THREE: ab* + k ➤ In this part, you are going to explore the effect of parameter k to the…

A: Given function is f(x)=2x+k

Q: For the drug metabolism function f(x)=-x(x+2)(x-3), find the average rate of change of f(x) on the…

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Q: PART THREE: ab* + k In this part, you are going to explore the effect of parameter k to the…

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Q: # 5) Evaluate the definite integral below (remember, like for all the other problems, show all your…

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Q: A spherical balloon is inflated so that its volume is increasing at the ft ³ rate of 9 How fast is…

A: given  volume increasing rate is  9 ft3mingiven  radius=4 ft formula for volume is  V=43πr3

Q: #4) Determine the integration constant in the below indefinite integral using the accompanying…

A: q=∫(4t2+5t4+3t+2t)dt∫tndt=tn+1n+1+c

Q: sec (2x 2(9x + 7) dx =

A: We will find the required.

Q: TRANSFORMING THE INTEGRAND TAKE NOTE:  the given is on the left side

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Q: lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to…

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Q: Find d -(3¹). Type In(x) for the natural logarithm function. dx

A: Given ddx( 3x ) = ?

Q: The kinetic energy E of a rocket of mass m, traveling at velocity v is given by the formula E =…

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