dr Find if r = dt r = √s+1 and s = 16t² - 20t. s=

Q: The total cost (in hundreds of dollars) of producing a slide rules per day is C(x) = 8 + √√2x + 25.…

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Q: Jo 4 cos* x dx

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Q: Let f and g be the functions in the table below. g(x) 2 3 X 1 2 3 f(x) 3 1 2 1 (a) If F(x) =…

A: NOTE: Refresh your page if you can't see any equations. . the first function is  take derivative

Q: Find the value of at which the tangent line to the curve 1 = y x+3 passes through the origin.…

A: Given equation of curve y = 1x + 3

Q: At what point on the curve x = 3t² + 5, y = t³ -3 does the tangent line have slope ? (x, y) =

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Q: is where 21,2 are the solutions to the auxiliary equation ay" + by' + cy=0 y = A₁e¹¹x + A₂¹2x aλ² +…

A: Given, ay''+by'+cy=0 Solution is y=A1eλ1x+A2eλ2x in case of complex roots λ=ρ±iω, y=eρxCcosωx+Dsinwx

Q: Consider the following function. f(x) = (x-3)3 (a) Find the intervals where the function f is…

A: According to question,Given Function,fx = x-33

Q: Tiking glass is modelled by rotating the graph of y=e* about the y-axis, for 1≤ y ≤5. Find the…

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Q: a heavy rope, 60ft long, weighs 0.8lb/ft and hangs over the edge of the building 110 ft high. How…

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Q: If the tangent line to y = f(x) at (7, 3) passes through the point (0, 2), find f(7) and f'(7).…

A: Topic =Application of Derivative

Q: Evaluate the integral. rπ/2 5 + 9 cot(x) dx Jπ/4 9-5 cot(x)

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Q: The thickness of ice on water, z(t), grows according to the equation: da dt Given that a:(0) = 0…

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Q: 4. [ DETAILS eBook Find the sum of the convergent series. Σ n=1 LARCALC11M 9.2.038. 6 9n²+ 3n-2

A: only 4...∑n=1∞69n2+3n-2

Q: X y Use exponential regression to find an exponential function that best fits this data. f(x)= 1 2 3…

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Q: Clear All Draw: Vertex = y-intercept = x-intercepts = 10 10-9-8-7-6-4-3 -2 -1 4 -2 -3 -4 -5 -6 -7…

A: We need to obtain the required values of the given graph.    Clearly, we can observe from the given…

Q: 1 0.253 as follows: Let f(x) = −| 8 Jse linear approximation, i.e. the tangent line, to approximate…

A: Given function is f(x)= 1x and the point is a= 0.253. The equation of tangent line at x=a is y =…

Q: Suppose f and g are continuous functions such that 9(9) = 2 and lim [3f(x) + f(x)g(x)] = 30. Find…

A: Suppose f and g are continuous functions such thatg9=2 and limx→93 fx+fxgx=30.To find f9.

Q: n=1 n=1 8 n=1 ∞ n= 1 1 + 3 2 3 Select the appropriate summation 1 n(n + 1) (-1)" n(2n + 1) 1…

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Q: The following equation e³ + Zxy = x³ describes a curve in the plane, where Z is an unspecified…

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Q: Suppose r(t) = cos(πt)i + sin(πt)j + 4tk represents the position of a particle on a helix, where z…

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Q: Given that f(−3)=2 and f′(−3)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: Given query is to find the equation of the tangent line.

Q: An object with weight W is dragged along a horizontal plane by a force acting along a rope attached…

A: Solution: a) Consider the function  dFdθ=ddθμWμsinθ+cosθ

Q: Differentiate the following function: y=4x^5+3/7x

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Q: find derivative of f(x) = ex O ex Oxex OxInx none of the above Question 2 find derivatgive of f(x) =…

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Q: Match the sequence with the given nth term with its graph. 10n n+ 1 an an 0.6 0.4 0.2 +++ -2 eBook -…

A: To match the sequence with the given nth term with its graph. an=10nn+1 an

Q: Evaluate the integral. cos y dy sin 2y + siny - 6 cos y dy S sin 2y + siny-6 (Type an exact answer.)…

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Q: f(x) = mx + b '(x)= State the domain of the function. (Enter your answer using interval notation.)…

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Q: Let g(x) be a differentiable function such that g(2) = 2 and g'(2) = 3. Let f(x) = x⁹(x). Then f'(2)…

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Q: Problem 6: Find the function values of sin² TT Given: TT sin²: 12 Required: Apply the half-angle…

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Q: 3. A force of 1500 lbs compresses a spring 6 inches from its from its natural length. Find the work…

A: Given that amount of force is 1500lbs to compress a spring 6 inches.

Q: Find the area of the region enclosed by the curves x = 1 - y² and x = y² – 1. Make sure you label…

A: To find the area of the region enclosed by the curves x=1-y2  and x=y2-1.

Q: Find the derivative of g(x) g'(x) = - 9e + 4 6x5 + 9x4

A: g(x)=9ex+46x5+9x4d dx(xn)=nxn-1d dx(ab)= b×da dx-a×dbdxb2

Q: Sorry I can't see the solution it's too messy, could you please write the answer part again please

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Q: 4. y(4) + 17y" + 72 = 0.

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Q: Question 5 find derivaive of f(x) = x² + ex O x² + ex 2x ex 2x + ex none of the above

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Q: 4. y(4) + 17y" + 72 = 0.

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Q: Sketch a graph of ƒ(x) = −2|x +1| + 2. Before sketching the graph, determine where the function has…

A: We have to draw the graph for given Questions.

Q: S dx 2√x+3 +3

A: The given integral is 1/[2 sqrt(x+3) +3].

Q: Find an equation of the plane. The plane through the point (3, 0, 4) and perpendicular to the line x…

A: The equation of line which is perpendicular to the plane is given as x=7t, y=3-t and z=5+6t. So, a=…

Q: f(x) = (3x + 5)¹/5. Find an equation for the tangent line to the graph of f(x) at x = = 1.

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Q: 5 find the area y = sin 10x₁ * x = 0, Xx = 5/410 y = cos 5 x, y =

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Q: Obtain the general solution to the equation. (x² +9) + xy = 2x, y(0) = 5

A: The given differential equation is x2+9dydx+xy=2x,y(0)=5

Q: the following graph. -8-7 -6 -5 -4 -3 -2 4 3 Identify the vertex of the parabola: Remember that the…

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Q: Calculate g'(x) where g(x) is the inverse of f(x) = 2x − 3. g'(x) = ||

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Q: Problem 2. A yam at room temperature is put into an oven set to 400 degrees. Assume the oven's…

A: As per guidelines we can solve maximum 3 subparts. Please repost the other parts and mentioned the…

Q: Let r(t) = Find [F(t)dt (don't include the +C) [F(t)dt = X 3e -3t X 2

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Q: Let ƒ(x) = (x+4)²

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Q: Suppose f(x) = In '(x) = ex8 (x - 9) Find f'(x). (Hint: Apply the laws of logarithms to f(x) before…

A: Given query is to find indicated derivative.

Q: 6. [- DETAILS Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a…

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Q: f(x) = x³ - 4x² + 3x +1 find decreasing interval? O (-00, 2.22) O (0.45, 2.22) O (0.45, -1.11) O…

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