Consider the volume of the region shown below, which shows a right circular cone with top radius 2 cm and height 8 cm. We have used the notation Dy for Ay.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Given the vector u = , find the magnitude and angle in which the vector points (measured counter…

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Q: and subs. a. Sx²(x³ +5)6 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: de (Inx) dx dx sinx

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Q: E A 4 B D G C

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Q: Solve the equation cot² 0 - 3 csc 0 = 3 csc = 2 for all solutions , showing all steps in your…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Consider the ellipsoid 3x2+2y2+z2=12. The implicit form of the tangent plane to this ellipsoid at…

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Q: Graph the line containing the point P and having slope m. P=(-2,-5); m = - OA Q 53 OB. -10 > S O C.…

A: we need to find the graph which has slope=-1/2 and has the point (-2, -5)

Q: Find the derivative of y with respect to x for y = 11x. dy dx 11

A: SOLUTION-

Q: Fill in each box below with an integer or a reduced fraction. (a) log2 8 = 3 can be written in the…

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Q: en a rectangular box. Lengths are in cm 2 x X X

A: Given query is to find rate of change of volume.

Q: Find the lines that are tangent and normal to the curve at the given point. x²y² = 16, (-1,-4) The…

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Q: 2a + bx Ex B f(x)=√√2a @f(x) = 3ax-5 x+b f(x) = 32²³ +26 ×-5c x-5c, a÷0

A: f'(x) = limh->0 f(x+h) - f(x)h This is the definition of derivative using limit.

Q: Describe in words the region of R³ repr 1 ≤ x

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Q: Should i put 62 on the other side making it -62?

A: The equation of sphere is x2+y2+z2+16x-2y+2z+62=0. We have to rewrite this equation.

Q: 3. Use (shortcut) rules of derivatives to find f'(x) a. f(x) = 15x²-3x5 + c. f(x) = x³ + 2x²-9x+5 X…

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Q: The force F on an object is the product of the mass m and the acceleration a. In this problem,…

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Q: - 1²) and ngle of =i+j. +j+ k. - use 48. If u and v are the vector functions in Exercise 47, use…

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Q: The directional derivative of z = f(x, y) at (1,5) in the direction toward the point (7, 4) is 17…

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Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ 8 7 -9-8-7…

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Q: The half-life of a drug in the bloodstream is 4 hours. What fraction of the original drug dose…

A: given half life of a drug in bloodstream is 4 hours

Q: formula that could represen

A: We will start by checking the options. The one option which satisfies all the conditions is the…

Q: 37. 6² ( So 1 1 t + 1 i+ 1 t² + 1 j+ t t² + 1 2 k dt

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Q: The derivatives of the function f(x) = cos(3x²) that follow are incorrect. What misconception occurs…

A: Question number 6th  is not properly visible so we will be answering only 8th question.

Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ -9 -8 -7 16…

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Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ 9+ 8 7 6 +…

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Q: If g(8) = sin(), find g'(8) and g "(0). 8 g'(0) - (0),6

A: Given query is to find indicated derivative.

Q: Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: A city's population is growing at a rate of 2.5% per year. What is its doubling time?. By what…

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Q: ,a= 2/12. Calculate the Taylor polynomials T2(x) and T3 (x) centered at x = a for f(x) = 14 sin(x),…

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Q: Find the volume of the parallelepiped determined by the vectors a=, b=, c=   Please make easy to…

A: Here we have to find the volume.

Q: y = 3√x + 4x 2x2 -31 (1) - 1 (-2) - 4 2 х

A: Given query is to find the derivative.

Q: (a) f'(0) (b) f'(1) 2.5 (c) f'(2) ут 1 0 1 X y = f(x) AB x

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, X = -2 - 2. f(x) = x² - 4x+4…

A: Since you have posted multipart question i can do first three sub parts as per our country…

Q: Velocity of a Hot-Air Balloon A hot-air balloon rises vertically from the ground so that its height…

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

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Q: Velocity of a Hot-Air Balloon A hot-air balloon rises vertically from the ground so that its height…

A: This is question of calculus  here one function is given  we solve using application of…

Q: Given, dr=b (cos@dr+rsin0d0) ; r(t) = 1, Find r(). 1 1+ b 1+b 2 1+b O b 1+b (1-b)

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Q: 5) Ir b) a) O Consider the functions z = -e lnx, y = ln(u sin v), x = usin v. Draw a dependency…

A: We can solve the above question as follows,

Q: Verify that x>0 (x) is a solution of the equation yy" = =X

A: Given that 23x32 is a solution of the equation yy''=x. We have to verify the given statement.

Q: So 4 squareroot 6?

A: Find the distance in netween the point P(-4,3,-1) and (4,-1,3)

Q: Variable Separable (Solution Step) The variables of the equation M(x,y)dx + N(x,y)dy=0 are…

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Q: x²+4x x²-12 2 x²+x-6 x²+x-6 (Simplify your answer. Use integers or fractions for any numbers in the…

A: To solve the fractions.

Q: at the point (1.0) at the point (0.7) y= y= x x Illustrate by graphing the curve and its tangent…

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Q: In the attached calculation, why does it say it is the quotient of the two polynomials? Does that…

A: Please see the below answer.

Q: Evaluate the limit lim s→6 1 S 1 6 S-6 -

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Q: Estimate the value of the limit (if it exists) by evaluating the function at the given numbers. (It…

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Q: Find the equation of the quadratic function whose graph is a parabola containing the points (0,3),…

A: A parabola containing the points 0, 3, 4, 23, and -1, 8. We have to find the equation of the…

Q: brg, T55 1-6 Find the length of the curve.

A: Given: r(t)=t,3cost,3sint-5≤t≤5

Q: dr Find for 0-718 de de || -7/8 -r = -3. -

A: Given query is to find indicated derivative.