Find '(t), given r(t) r'(t) = = - - 4 -7t 6t? -3t 5' 5t²+1' 4t³ - 3

Q: Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all…

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Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: Let y = x5 ln x y' = = y" =

A: Topic - first and second derivative of a function We are given,  y=x5ln(x)we know…

Q: Classify the quadric surface. 2² = x² + 1/²/² O hyperboloid of two sheets O elliptic paraboloid O…

A: Given: So,           x2+y29-z2=0 and which is an equation of elliptic paraboloid.

Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 3x.…

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Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

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Q: If f(x) = x³ + 6x +5, find (ƒ−¹)'(5) =

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. 40°

A: For angle 40° Base= 6 and hypotenuse= x

Q: Please show your answer to 4 decimal places. - 4x² - y²-x+y Suppose that f(x, y) = e then the…

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Q: 1. What is the length of the latus rectum of a parabola x² - 8x - 20y + 56 = 0?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let I be the line passing through the points Q₁=(4, 2,-5) and Q₂-(10, -2, 1) and let Z₂ be the line…

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Q: Question 13 Choose the equation of the line with the given slope and y-intercept. 1 slope:…

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Q: How do we call a function that is not a polynomial?

A: Topic = Function

Q: is the relation defined by the table a function of x

A: If each input value leads to only one output value, classify the relationship as a function. If any…

Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

A: Note: this x0=0 is an ordinary solution. Let us assume that:y=∑n=0∞Cn(x-0)n…

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: Find the indefinite integral. (Use C for the constant of integration 2 cosh(√x) X dx

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Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: What point on the line y = 3x + 10 is closest to the origin? The point on the line y = 3x + 10…

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Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational…

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Q: c. ( - 1 - 2 - 2 ) : ( - 1 - ₁ ) × (1 - 1) = C. 5 3 16 2

A: Concept: A situation is represented using mathematical symbols, variables, and arithmetic operations…

Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -2 ex cos (yz),…

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Q: 4 n n 3 +1)

A: Gven sequences:- a)n3n4+1 b)3n3-12n3+1

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Topic - Inflection points and concavity  of a function We are given, f(x) = (x^2−3)e^x we know that…

Q: Given y = f(u) and u = g(x), find = f'(g(x))g'(x). dy dx y=% U=COS X dx =

A: If y=f(u) and u=g(x) then dydx = f'(g(x))g'(x) .

Q: 4 (b) Σ(-3)3k k=1

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Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 3(k!)² 5(2k)! 8…

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Q: questions:the solution sets is a)f(x)0 d)f(x) ≥0

A: We can find solution sets.

Q: 2. Find the curvature to the vector-valued function r(t) = (sin(t), cos(t), t²) at t = 4.

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Q: Set up, but do not evaluate, an Integral for the length of the curve. x = 8 sin(y), 0≤ y ≤ 12 O So 2…

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Q: Find the equation of the line tangent to the curve x4 + 4y4 = 5 at the point (1, 1).

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Q: limx→5 x²+2x-35 x-5

A: We need to find limx→5x2+2x-35x-5.

Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: Consider the following. lim x4/x X18 (a) Describe the type of indeterminate form (if any) that is…

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Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function

Q: ← The following table gives the monthly premiums for an insurance policy on people of various ages.…

A: The given data is: age monthly premium       35 127       40 164       45 242       50…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: We need to find out the intervals by the help of graph at which the function is function is…

Q: A rational fraction of the form g(x) = 0. Select one: O True O False f(x) is called a proper…

A: We know Rational fraction=fxgx, gx≠0

Q: Evaluate limx→-1+ f(x) if ƒ(x): = x +4 -x+ 1 x -1

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Q: Find x. Round your answer to the nearest tenth of a degree. x = 山。

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Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: Find the absolute maximum and absolute minimum of the function f(x) = -2 sin² (x) over the interval…

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Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: The area of the region bounded by the two x² and y 36 is curves y = =

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Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

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