Find the point on the curve r(t) = (5 sin t)i + (-5 cost)j-12tk at a distance 13 units along the curve from the point (0, -5,0) in the direction of increasing arc length.

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

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A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Copy of Investigation - H... E Classes

A: Common Functions Function Derivative Constant c 0 Line x 1   ax a Square x2 2x Square Root…

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Q: f(x) = x²-2x-10, (P¹) (5)

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Q: Find the radius of convergence of the power series 1 xn 3n+ (−2)² (n +1) n=0

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A: We have given a table that shows the national expenditures for health care in the United States for…

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Q: Find the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where…

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Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

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Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

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Q: Can the Fundamental Theorem of Calculus be used to find xcosx²dx?

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Question 3 A rectangular box has a perimeter of 50 inches. Find the length and width of the box that…

A: Given :- A rectangular box has a perimeter =50 inches

Q: a) -dox ; b) 2: sin xdx; e² 4+9e²

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Q: dx x√16x²-5 S=

A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: 3. Find the particular solution of 4y" + 25y = 0 when x = 0, y = -2; y' = 0

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Q: 3. As light passes through water, it is gradually absorbed. The percent of light absorbed, 4, as a…

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Q: The curves F₁(t) = (5t, t, 2t5) and 7₂(t) = (sin(-5t), sin(3t), t - π) intersect at the origin. 70 3…

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Q: If a company has total costs C(x) = 24,000 + 45x + 0.3x² and total revenues given by R(x) = 425x -…

A: The total cost function is Cx = 24,000+45x+0.3x2 Total revenue function is Rx = 425x-0.7x2 To…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

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Q: Ja 3 x√x - 2dx

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Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: 4) More Complex Differentiation: Differentiate and simplify the following functions a) g(x)= rcosx…

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Q: Write the pair of parametric equations in rectangular form. State any restrictions on t² the domain.…

A: To write the pair of parametric equations in rectangular form. To state any restrictions on the…

Q: For the integral below give brainstorm two possible approaches (e.g. “substitution, with u = ...”,…

A: Given :  I = ∫sin(ln(x))dx   To find : For the integral give brainstorm two possible approaches…

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

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A: The given curve equation

Q: 4. Determine the vertex of the parabola y 2 2x + 15x using Calculus.

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Q: Find the general solution of the given differential equation. dy dx +y=e4x y(x) = Give the largest…

A: We have,    dy/dx + y = e4x

Q: 2) Students often make these simple derivatives harder than necessary. How would you differentiate…

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Q: (a) By using substitution method, evaluate (x²³ − 1)² dx.

A: The integral isTo determine: The solution of the integral.

Q: Follow the Steps to Successful Curve Sketching to sketch the graph of f(x)=-4 Show all stens

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Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

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Q: Consider the following limit. lim Ax+0+ 8 x + Ax Ax 8 X Simplify the rational expression as much as…

A: This question is related to right hand side limit

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2