Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 8√√t, z = t5; (0, 8, 1)

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A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

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Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

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Q: J sec² (dx

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Q: The trajectories of two particles are given by the vector functions r1(t) = and r2(t) = Do the…

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Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: (a) Find the slope, m, of the tangent to the curve y = 2√x at the point where x = a. m = (b) Find…

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Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 90x - 0.025x2 -…

A: Question - The profit (in dollars) from the sale of x infant car seats is given by   P(x) = 90x -…

Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

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A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

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Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

Q: əz Use the chain rule to find and Əs дz Əs дz at || n(=), z = tan əz at u = 5s + 9t, v = 9s - 5t

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Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

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Q: 5. f Scot(x/3) sin²(x/3) -dx

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: The differential equation -4e* cos(y) +4² -4e* sin(y) - 8yln(x) + 5y² Has solutions of form F(x, y)…

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Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

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Q: Estimate the area under the graph of the function f(x)=√x + 3 from x = -1 to x = 5 using a Riemann…

A: Given function is f(x)=x+3 from x=-1 to x=5 using a Riemann sum with n=10 subintervals and…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Question -   Use the method of cylindrical shells to find the volume generated by rotating the…

Q: TOPIC 1 Higher Derivatives Q. #1 Given f(x)=x² sin(√x), please find derivatives below. Hint: Always…

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Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

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Q: Identify the surface. hyperbolic paraboloid O elliptic cone O hyperboloid of two sheets O ellipsoid…

A: Question 1) Identify the surface Given surface is eliptic paraboloid

Q: Solve the given initial value problem. y" -8y +30y'-56y=0; y(0)= 1, y'0)=0, y''(0)=0 y(t) =

A: To solve the given initial value problem. y'''-8y''+30y'-56y=0; y0=1, y'0=0, y''0=0

Q: 17. y = x², y = 2x; about the y-axis Answer 8π/3 + y = 2x (2,4) y

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Q: Consider the following position function. r(t) = (t5 + 8, t7, t5 - 5) (a) Find the velocity of a…

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Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

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Q: For the piecewise linear function, complete the following. X if x ≤ 4 18-x if x > 4 f(x): =

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

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Q: how would we solve this question? just the answers are given

A: The tangent of -3 has a negative slope since it points downwards It is approximately equal to -1.…

Q: Solve the equation. Make sure to check for extraneous solutions A) 8^m-7=92 B) 10 (5^3k-3)=40 C)…

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Q: 2. Let g(x) be given by the graph below. Find the average rate of change in g on the intervals: (a)…

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Q: g) f(x)=√1-ecos(1-x²)

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A: By using the shell method to find the volume of the solid generated by revolving the shaded region…

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (4, 3, -3), b = (0,…

A: Given query is to find the volume of the parallelepiped.

Q: The masses m, are located at the points P₁. Find the center of mass of the system. m₁1, m₂ = 2, m3 =…

A: Given: m1=1, m2=2, m3=3And P1=(-5,6), P2=(3,-8), P3=(-3,5)

Q: Find the scalar and vector projections of b onto a. a = (1, 3), b = (-7, 1) comp b proj₂b =

A: NOTE: Refresh your page if you can't see any equations. . find the magnitude of the vector a

Q: In each of Problems 9 through 16: a. Find the solution of the given initial value problem in…

A: Given that a initial problem and we find its solution and plot the graph of this problem solution.…

Q: Find the differential of the function w = = x² sin(y¹z³) dw dx+ P dy+

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