Which direction vector is for the line modeled by cartesian equation 3x+2y-1=0? d (3,-2) d =(-2,3) None of the answers. d =(3,2)

Q: Compute the six trigonometric functions at the angle = cos(3) = cot(3) = sin(3) = sec(3) = tan(3) =…

A:

Q: Find the absolute maximum and absolute minimum values of the function 4x 6x + 2 f(x) =

A:

Q: -2 118 1,8 18

A:

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

A:

Q: Which of the following fundamental identities is a reciprocal identity? tan² (8) + 1 = sec² (8) cot(…

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

A: Here we have to find the limit by using L'Hospital's rule.

Q: A student recognizes that given the function f(x), they are able to simplify the function as…

A:

Q: Find the interest rate needed for an investment of $9,000 to triple in 3 years if interest is…

A:

Q: Compute the derivatives of the given functions. d. a) dt d [5 sin ¹5t = FI

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: 15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given…

A:

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: We have,    h(x) = x3 - 12x

Q: 6. The following graph could represent the velocity of which of the following position functions? 8…

A:

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

A:

Q: Using the appropriate sum-to-product formula, the expression cos4x- cos3x can be rewritten as cosx.…

A: The given expression is,

Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

A:

Q: Given the Vector Field F(x, y) (æe*,11æy), and curve C is the closed curve made of line segments…

A:

Q: 1 If sin(x) = and x lies in quadrant I, find tan(). Esc 70 O 2-√3 82°F Windy tomorrow F1 7 O √2 الله…

A: Given: sun(x)=1/2 and x is in first quadrant.We have to find the value of tan(x/2)

Q: 3. Find an equation for the tangent line at the given point. x+x²) ¹⁰, y = (1 + x + (0, 1)

A:

Q: Find all solutions to the equation: sin²(x) + cos(x) = -1. π (A) x = (+2mn) (B) x==²=², 6' (D)…

A:

Q: 4. The graph of f is given below. a) State the x-values at which the function is not continuous. For…

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

A:

Q: 3x-11 mang má O a. Inkx+6Xx-17+c O b. In x-1)(x+67+c Ocinkx+1Xx-6+c Od. Inx-6)(x+1)+c

A:

Q: Solve the equation √3+5 cos 0 = 3 cos. Express the answer in radian measure. * Student can enter max…

A:

Q: Suppose the second derivative of f is given by f''(x) = 30(x − 4)4(x2 − 36). Determine the intervals…

A:

Q: Find the surface area of revolution about the y-axis of y = 2x over the interval 0 ≤ x ≤ 4. Enter…

A:

Q: The tangent function is used to find the angle between two vectors. True O False

A:

Q: -8

A:

Q: Find the derivative of y = 5x2 +4² +1. dy = dx FI

A:

Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 50 m/s. As a result its height…

A: A rock is thrown off of a  foot cliff with an upward velocity of . As a result its height after…

Q: Determine which set of vectors is orthogonal.

A:

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

A:

Q: Question #1: Find the (x,y) coordinates of the centroid for the shaded area shown in the figure…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Using the appropriate sum-to-product formula, the expression cos4x - cos3x can be rewritten as cosx.…

A: The given expression is,

Q: 1. Evaluate the trigonometric limit if it exists. Express your answer interms of the real numbers a,…

A:

Q: Find the derivative of the given functions using the Differentiation Rules. 2. g(x) = x3-5x²+6x+1…

A: Rule of derivatives

Q: A production manager is trying to determine how many units of two types of products to produce each…

A:

Q: Let f(x, y) = x³ + y³ + 3x²y + xy + y². Find fæ, fy, fax, fry, fyy.

A: The given function is,

Q: Solve the following equation on the interval [0, 2]: sin2xcos2x = 4sin2x

A:

Q: The vectors that make up the sum of two vector components are parallel to each other. O False True

A: The given statement is false.

Q: Evaluate Limit = Use "infinity" for "oo" and "-infinity" for "-". lim 8118 3x4 - 3x² 5x6 +8

A:

Q: The expression tan@csc ecos simplifies to 2sec8. O True O False

A:

Q: Use Stoke's Theorem to evaluate F. dr where F = (3x + 7y, 2y + 3z, 10z + 6x) and C is the triangle…

A: The function is given by

Q: Consider the planes given by the equations (a) Find a vector parallel to the line of intersection of…

A:

Q: Book Problem 25. Consider the series L = lim 82-700 n=1 Use the Ratio Test to decide whether the…

A:

Q: Let f(x) = 1. f'(2)= 2. f'(5)= 3 √x Evaluate each of the following: A

A:

Q: Find the average value fave of the function f on the given interval. 10x - x², [0, 5] f(x) =

A:

Q: Using implicit differentiation, find an equation of the tangent line to the curve at the given point…

A: Slope of tangent

Q: In(x¹0) lim 818 14x

A:

Q: Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve…

A: