1. Evaluate the integral 5x + 1 dx 2x2 - x -1

Q: L You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (...

A:

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: 2. v=i+k, u = 5i + 12j V = Find: a. u.v, l미, lul b. the cosine of the angle between u and v. the sca...

A:

Q: For what value of the constant c is the function f continuous on ( -o, + o) where 8x - 5 I6 c = O 82...

A:

Q: X+Z4-てて-5 二メ -34ト42:9 2メーツ tて。

A:

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A:

Q: To find the x-intercepts, let y be zero and solve for x. (0) x- 49x %3D 0 = x(x2 - 49) = x(x2 - 72) ...

A: From the second step we see that

Q: Using the separation of variabe method, solve the fllowing diferental equations a). dx

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Given cost and price​ (demand) functions C(q)=120q+45,000 and p(q)=−1.8q+880​, What price should be ...

A:

Q: Find the vector component of v = 2i – j + 3k along b = 4i + 4j + 7k and the vector component of v or...

A: To find the vector component of v=2i-j+3k along b=4i+4j+7k and to find the vector component of v ort...

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2000 yd...

A:

Q: The coefficient of sin(x) in the antiderivative of F(x)=|

A:

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A:

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

Q: 4. For infants less than 9 months old, the relationship between the rate of growth R (in pounds/mont...

A:

Q: The graph of y= f(x) has the following features: f( – 1) = – 1 f(x) = 2 lim I→-1- lim f(x) = 1 Which...

A:

Q: Find the tangent line approximation T to the graph of f at the given point. Use this linear approxim...

A:

Q: ()- In(x) C. lim %3D

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v orth...

A: Given that v=4,-1,7  ,b=6,6,-7Solution : The vector component of v along b=v→cosθb^    θ= angle betw...

Q: Rewrite f(x) = |4x + 4 – 3 as a piecewise function. %3D (4x + 4) -3 x if x

A: Solve by piecewise defined functions

Q: nt Use A = P(1+)" where: A = the amortized amount (total loan/investment amount over the life of the...

A:

Q: Activity II Direct ona: Match each solid figure in column A with its surface column B. Write the cor...

A: We will find the surface area of all the five solid figure as following.

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

A:

Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j + ...

A: The answer is in step 2.

Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

A:

Q: xsin-!xdx The antiderivative of -is x+V1-x² sin-!x+C 1-x2

A:

Q: Find the volume beneath the paraboloid z = 25 − x2 − y2 and above the xy-plane

A:

Q: Suppose that the salinity S of ocean water at a given depth d is modeled by the equation S(d) = 31.1...

A:

Q: The integral of x²Inx with respect to x is; A -(3lnx+1) +C ® (3lnx – 1) +C © 3lnx – 1) +C 3 D -(Inx ...

A: Product rule of integration : ∫u.v dx = u∫v dx -∫dudx∫vdxdx dlnxdx = 1x ∫xn dx = xn+1n+1 +C In Produ...

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: If fo =sinax find f'x)

A: Finding the derivative of the function using chain rule of differentiation

Q: Je sin( -4x)dx 3r Su

A:

Q: Find d^2y/dx^2: y^3=6x^2

A:

Q: Let f (x) = ax- 3/12 + 4x². Find the value of a if f' (1) = 16. Enter the value of a in the box and ...

A:

Q: Determine the indefinite integral (do not include the "+c" and do not include absolute value symbols...

A:

Q: Calculate the iterated integral. 5r sin (0) do dr

A:

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

A:

Q: 2т — 3 Consider the function f(x) Compute each of the following. Simplify your answer and use x + 2 ...

A:

Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + k as adjacent sides. %3D NOTE...

A:

Q: Consider the function f(x) 2x + 3x? 36x 54. - a. Find the first derivative. f'(x) b. List any critic...

A: Given the function f(x) = 2x3 + 3x2 - 36x - 54

Q: Find the radius of convergence, R, of the series. (-1)"x" n = 1 R = Find the interval, I, of converg...

A:

Q: Mark the critical points on the following graph. 136

A:

Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...

Q: Graph the inverse of the given one-to-one function. Choose the correct graph below. Ay OA. OB. Oc. O...

A:

Q: 8. ontinuity at z = 8 by calculating the limits from the left and right at %3D

A:

Q: Determine the following using the equation 2xy3- 4x3/2 +2 = 0 a) Use implicit differentiation to fin...

A:

Q: Find the area of the triangle with vertices P(1,5, -6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the ex...

A:

Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x --) – 1...

A: If y=A cos(Bx-C) +D , thenAmplitude     - APeriod            - 2πBPhase shift    - CBVertical shift ...