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

A: We are given the graph of the velocity function v(t) We know that when the slope (derivative) of vel...

Q: If vectors u and v are represented by arrows, describe how the vector sum u + v is represented.

A: Given that: The vector u and v are representing by arrows, So,

Q: Alex uses the length of his hand to measure the size of his desk. He finds the top of his desk to be...

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Q: use l’Hôpital’s Rule to evaluate the limit

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Q: Given a = [1,3,-2] and b = [-2, 5, 1]. %3D Determine: a)The magnitude of the sum of the given vector...

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Q: Two 2 x 2 invertible matrices can have a matrix sum that is not invertible.Determine whether the sta...

A: ''Two 2 x 2 invertible matrices can have a matrix sum that is not invertible''. We have to determine...

Q: Convert the polar equation r = 3 to a rectangular equation. Then use your knowledge of the rectangul...

A: Given r=3 To graph  the polar equation in a polar coordinate system.

Q: Determine the amplitude of the function y = 3cos x. Then graph the function and y = cos x in the sam...

A: To Determine: the amplitude of the function y = 3cos x. Then graph the function and y = cos x in the...

Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge 0.t≥0...

A: Answer and explanation is given below..

Q: Solve : x2 = 4x - 2

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Q: Find the double integration the area enclosed by the curve r = a(1+costhetha) between thetha =0 and ...

A: Consider the given: Area=∫∫rdrdθr varies from 0 to a1+cosθand θ varies from 0 to π.a2−x2=x2a2−x2+a22...

Q: Find the total area of the shaded regions. (x) =4 -x² -4-

A: Given: fx=4-x2      The area of the shaded region is the area bounded by the curve fx=4-x2 and lines...

Q: Calculus Question

A: The graph of the function f in the figure consists of the line segment and a quarter of a circle. Le...

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos(u²) du. y = cos(x...

A: Giveny=∫cosx8xcosu2du

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is...

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Q: 8. Rolle's Theorem does not apply to the function f (x) = (x+1)2 on the interval [-2, 0]. Explain wh...

A: Given that:                           f(x) = 2x+12   To Check: Rolle's theorem in the interval [-2, ...

Q: n+3 E) Lim (- 3n

A: The value of limn→∞1-13nn+3 can be calculated as, limn→∞1-13nn+3=1-1∞∞                              ...

Q: Convert the polar equation r cos (θ + π/6) = 8 to a rectangular equation. Then determine the graph’s...

A: Consider the given: rcosθ+π6=8rcosθcosπ6−sinθsinπ6=8rcosθ32−sinθ12=8rcosθ32−rsinθ12=8Let rcosθ=x​​ a...

Q: A spring gun at ground level fires a golf ball at an angle of 45˚. The ball lands 10 m away. What is...

A:

Q: Find the principal unit normal vector for the helix r(t) = 2 cos ti + 2 sin tj + tk.

A: Given, r(t)=2 cost i+2 sint j+t k

Q: A particle moves along the x-axis so that at time t\ge 0t≥0 its position is given by x(t)=t^2-5t-49....

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Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote.De...

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator...

Q: Which of the following statements is true for g(x) = x³ + 6x2 + 9x +2 A. gis increasing on (-3,–1) B...

A: Consider a function: gx=x3+6x2+9x+2……1

Q: A bowl is shaped like a hemisphere with diameter 30 cm. Aball with diameter 10 cm is placed in the b...

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Q: set up the appropriate form of a particular solution yp, but do not determine the values of the coef...

A: Given differential equation, y'''-y''-12y'=x-2xe-3x

Q: Calculus Question

A:   you can determine the interval in which a function f(x) is increasing or decreasing by looking at ...

Q: Find the indefinite integral. ∫(x2 + 2x − 6)/ x4 dx

A: Consider the integral: I=∫x2+2x-6x4dx……1

Q: 12. Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the expre...

A: Since you have asked multiple questions in a single request so we will be answering only first quest...

Q: Initially filled with water, a conical reservoir is 24 ft deep and 12 ft across the top. Water goose...

A: Formula for the volume of a cone:V = 13·π·r2·hUse the given dimensions of the cone to get the volume...

Q: Explain the truncation error ?

A: Truncation error is defined as the difference between the true (analytical) derivative of a function...

Q: . Which of the following is continuous at x = 0? I. g(x) = |x| II. g(x) = e* III. g(x) = In(e – 1) A...

A: (I)        gx=x     gx=-x, if x&lt;0x,    if x≥0 f is continuous at x=0 if L.H.L. = R.H.L.=f(0) i.e....

Q: (x, y) = ( (smaller x-value) ) (larger x-value) (x, y) = (b) Form the integral that represents )dx (...

A: Given that : Graph :

Q: The equation o describes what type of object in R? 2 %3D Select one: O a. cone b. plane O c. point O...

A: Given information: The equation is ϕ=π2. Calculation: In the spherical coordinates we know that z=ρc...

Q: Ichigo and Rukia are 30 meters apart along a N-S line, with Ichigo north of Rukia. They left their s...

A: Given: The separation between Ichigo nd Rukia along a N-S line with Ichigo North of Rukia is 30 mete...

Q: An angler hooks a trout and begins turning her circular reel at 1.5 rev&gt;s. Assume the radius of t...

A: Given that an angular hooks a tract and begin turning her circular reel at 1.5 rev/second and the ra...

Q: Explain how to find the product of the sum and difference of two terms. Give an example with your ex...

A: Let a and b be two terms. Their sum and difference is a+b  and  (a-b)