Find the unit normal vector N to r(t) = (t, cos(t)) at t = = 19. (Use symbolic notation and fractions where needed.) N(t) = 1 (√3+√3)

Q: Find the minimum cost of a rectangular box of volume 160 cm whose top and bottom cost 6 cents per…

A:

Q: I = [₁²₁ √√√t-1d y = 1≤x≤ 16

A:

Q: 3 The slope of the tangent of the function f (x) = + 3x at x=2 is I 9/4 -5/4 -5 5

A:

Q: . Find the vector and parametric equations of the line that passes through the points A(7,10,4),…

A:

Q: If a rock is dropped from a height of 219 feet, the rock's position t seconds after it is dropped is…

A:

Q: 03t A certain radioactive substance is decaying so that at time t, measured in years, the amount of…

A:

Q: Question 7. Express lim [sin² (3+3)+2 (3+³)] / as a definite integral of a function nxi=1 from x=3…

A: The solution is shown in step-2

Q: -8 0.0001t dt

A:

Q: nd the distance between the skew lines: c = 8+9t, y = 2 +9t, z = 4-6t x = 8-t, y = 7, z = 2 + 5t…

A:

Q: 9) True or fake: The arc length of the curve y=x²³²2 from x = 0 to x=1 13√13 IS 27 27

A:

Q: not need to simplity. x18 (x-1) 20 √11x-12 y=

A:

Q: Given the first and second derivatives of f(x)=x√2x +3, determine all the critical points, and…

A:

Q: Use Green's Theorem to evaluate S² F. dr, where F = (√x + 7y, 6x + √√y) and C is the path that…

A:

Q: Write a in the form a = a+T+aNN at the given value of t without finding T and N. r(t)= (-t+4)i…

A:

Q: Match the equation of f(x) to the equation of its derivative f'(x) ƒ¹(x) = −3x² + 12x – 12 1. f(x) =…

A:

Q: 3. Graph the inequality: y2(x-1)2. Label the vertex. Test one set of coordinates that satisfies and…

A:

Q: Question 9. (a) Complete the statement for the Fundamental Theorem of Calculus Part II: Suppose f is…

A:

Q: Sketch the graph of the function f(x) = ln(x - 1) - 2. Also, find the inverse function f(x), and…

A:

Q: Use suitable sum-to-product formulas to rewrite the following expression in terms of tan3x. sin 2x +…

A: The given equation .We have to rewrite this expression in terms of .

Q: F2 Determine if the following set of vectors is orthogonal. Explain why or why not. v = (16,-8), w =…

A:

Q: What is the dot product of the vectors (4,-10,3) and (1,1,5)? 0 75° 9 -113

A:

Q: f(x) and g(x) are continuous functions. f(x) f'(x) g(x) g'(x) -3 3 -4 5 4 -1 -3 -2 -1 2 1 5 -1 1 2 3…

A:

Q: 0) Findu'ify=" (elan(t), 1) dt

A:

Q: Write a in the form a = a₁ T+aN without finding T and N. r(t) = (3 + 7t)i + (t-6)j - 2tk a= T+ N

A:

Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6-9t, y = 9+ 12t,…

A:

Q: Express the exponential function f(t) = 20.3¹ in the form f(t) = a.e"¹. Also, find the doubling time…

A:

Q: 1) True or false: If f has minimuh at x=c, then f'(c) = 0 a local maximum or

A:

Q: Consider F and C below. F(x, y, z) = yzex² i + eײj + xye×z k, C: r(t) = (t² + 5)i + (t². (a) Find a…

A:

Q: The slope of the tangent of the function f(x) = 3 + 3x at x=2 is X 9/4 -5/4 -5 5

A:

Q: Consider the series Answer: L = ∞ 00 n=1 9n³+1 #)". Evaluate the the following limit. If it is…

A:

Q: ion C(x)=10x+700 are produced. Find the  fixed co

A:

Q: Give the first 5 non-zero terms in the power series expansion and evaluate the derivative of the…

A: As per the guidelines I am supposed to solve one question at a time. Please repost other question…

Q: The graph of y = f(x) (solid) and its tangent line at x = 0 (dashed) is shown; a second point on the…

A:

Q: 1) Graph g(x) = log₁ (-x+5)-4 3 For this question, be sure to: Show the related exponential function…

A: Using the parent function, we can perform certain transformations to obtain g(x)

Q: Without using a calculator, what is the value of the following function? cos 12 7T O √² + √6 √2-√6 4…

A: we need to find the value of

Q: calculate the volume of the shape obtained by rotating the region bound by f(x)=e^(-x^2,) x=1, and…

A: The shape obtained by rotating the region bound by f(x) = e–x² , x = 1 and x = 2 about the x - axis…

Q: Use the Law of Sines to solve the following triangle for a . Approximate your answers to the nearest…

A:

Q: Use a suitable half-angle formula to find the exact value of sin(15°)

A:

Q: Which of these points is not on the plane 3x+8y-2z+ 10 = 0? (-4,1,3) (2,-2,0) (1,3,-2) (-2,-1,-2)

A:

Q: Scientists around the world have collected data revealing that there is a linear relation- ship…

A:

Q: Find the size of the obtuse angle (to the nearest degree) between the two curves y = ln (x² +1) and…

A: To find the size of the obtuse angle (to the nearest degree) between the two curves  and  at their…

Q: A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the…

A:

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored on the ground. One…

A:

Q: Determine the solution to the following system of equations: (3) 1 HUNGA 11 ++ I 1-63-62-6 b b b ++…

A: First we eliminate z from this system of equations.

Q: Find A. A = (4A)−¹ = || 28 [²8] =

A:

Q: Write the system of linear equations in the form Ax = b. Then use Gaussian elimination to solve this…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Show that the function f(x) = x4 + 5x + 1 has exactly one zero in the interval [-1,0). NOW,…

A: Show that the function f(x) = x4 + 5x + 1 has exactly one zero in the interval [–1, 0]Now, determine…

Q: If v = 5i - 9j and w = -3i - 4j find v-w. O 21 O 51 O -21 -51

A:

Q: y=7+ 2x +9xex; a=0 The equation for the tangent line is y= Use a graphing utility to graph the curve…

A:

Q: calculate d2y/dx2 when y=-3x2+4x

A: The given function is .We have to find the value of .Use the derivative formulas,