mydx = nxdy

Q: Let if x 2 Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. lim (2+…

A: The given limit is limh→02+h3-8h. We have to find the value of the limit by finding the function…

Q: (1,7), (-8,4), (-2,6), (-5,5), (2,-6), (3,-9) Great work! Now answer the questions below.

A: Equation of line passing through two points( x1 , y1 ) & ( x2 , y2 ) y - y1 = y2 - y1x2 - x1( x…

Q: Use the Gauss-Jordan O A. method to solve the 5x + 6y - 2z = 0 2x = y + 5z = 1 7x + 5y + 3z = 1…

A: Given:

Q: Previous Problem List Next P Oil spilled from a ruptured tanker spreads in a circle whose area…

A: we are to find out the rate of increasing of radius.

Q: What is the least number of linearly independent vectors needed to span a line? [Enter a whole…

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Q: Find the future value of $80,000 for 13 years at 12% if interest is: (a) simple interest (b)…

A: Given : a. simple interest

Q: After seeing that line AB was perpendicular to the given line, why were each of the polynomials…

A: Given:- Line x=3t+1,y=-t+3,z=6t and point A-6,7,8

Q: When an object is dropped, the distance it falls in t seconds, assuming that air resistance is…

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Q: 32. sin2(3y) = x + y, 2ㅡㅠ ㅠ 44,

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Q: X 90 994 pas ge TV zo -IS T-557-171-1 -12 ---- 17 ча

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Q: 5. You have $1000 and plan to put it into an account earning interest compounded con- tinuously.…

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Q: 1x A box is x inches high, (2x+3) inches wide, and (2x+5) inches long. In terms of x, what is the…

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Q: alculate the result of the following set of operations: 4×1+32−6÷24×1+32−6÷2 Express your answer…

A: Given: 4×1+32−6÷24×1+32−6÷2

Q: Line 1: x= 1+ 6t, y= -1 -3t, z= 4+ 3t Line 2: x= 4+ s, y = -10 - 8s, z= 3- 5s a) Determine whether…

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Q: Evaluate the integral. - In 2 2e° cosh Ꮎ ᏧᎾ - In 12 - In 2 2e cosh 0 d0 = [ - In 12 (Type an exact…

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Q: Let ƒ(x) = Then f'(x) The equation of the tangent line to y = f(x) at a = 0 can be written in the…

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 2x²…

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Q: Find the limit of the following. lim 0→9π/4 sin 0. 0- 1 √2 9μ 4

A: The given limit is limθ→9π4sin θ-12θ-9π4. We have to find the given limit.

Q: Let f(x) = √x² + 5. 12/201 f'(x) = (x²+5)(2x) f"(x) = 8

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Q: (2x-2y-3)dx = (2x - 4y-2)dy

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Q: Let h(x) = tan(2x + 5). h'(x) h"(x) = = 2 sec (2x+5)(2) OF ४

A:

Q: Find the distance between the point  (−3, 5, 1)  and the line given by  x = 1 + t, y = 3 − 2t,…

A: Our Aim is to find the distance between the point (-3,5,1) and the linegiven by x=1+t, y=3-2t and…

Q: A tank contains 100 liters of pure water. Brine with 30 grams of salt per liter flows in at the rate…

A:

Q: Use a table of values to estimate the value of the limit (correct to three decimal places). If you…

A: Here we have to find the limit.

Q: Find a power series representation for f(x).

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function. (You do…

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Q: Previous Problem List Next Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. It…

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Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

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Q: a. Use the limit definition to compute the following derivative values. Recall that the limit…

A: Given function:- fx=x2

Q: Find dr de = dr de (5+ sec 0) sin 0

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Q: Evaluate the integral. 16 16 0 log 64(x + 16) x + 16 log 64(x + 16) x + 16 -dx -dx = 0 (Type an…

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Q: Suppose that f (5) equals 5 and that f'(5) is equal to 5. What is the approximate value of f…

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Q: At what point do the curves ri(t) = (t, 2-t, 15+ 2) and r₂(s) = (S-s, s-3, s²) intersect? (x, y,…

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Q: A rock thrown vertically upward from the surface of the moon at a velocity of 24 m/sec reaches a…

A: Introduction: Acceleration: The rate of change of velocity with respect to time. Velocity: the rate…

Q: 10. sin Y y 8

A: Given query is to find the derivative.

Q: the question is not fully answered yet

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Identify and sketch the following surfaces.

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Q: b 2 2 чих nx dx их

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Q: Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but…

A: Here we have to find the equation of tangent line.

Q: The number of trees in a forest is 90 million in 1997 and increasing at a rate of 0.8 million trees…

A: Given: The number of trees in a forest=90 millionsIncreasing at the rate =0.8 million The total mass…

Q: Two matrices A and B and two numbers c and d are given. Compute the matrix CA A = CA + dB = 6 -4 9 4…

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Q: Let f(t) = 3t - 7t². a) Find f(t + h): b) Find f(t+h)- f(t): f(t+h)-f(t) h c) Find d) Find f'(t):

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Q: How do we find the determinant of a matrix and when is it nonzero?

A: Question: How do we find the determinant of a matrix and when is it nonzero?

Q: How can we find a the inverse of a matrix? Step by step When does a matrix not have a inverse…

A: We have to define the inverse of a matrix and when inverse undefined.

Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…

Q: Use the table of values to estimate lim f(x). X-7 X f(x) lim f(x) = X-7 6.9 9.9 6.99 9.99 6.999…

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Q: If a rock is thrown upward on the planet Venus with a velocity of 30 m/s, its height after t seconds…

A: Note : As per rule I need to solve only first three subparts.

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: In the above graph of y = f(x), find the slope of the secant line through the points (-1, f(-1)) and…

A: