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Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

Q: Only one of the following graphs could be the graph of a polynomial function. Which one? Why are the...

A: To identify the graph of a polynomial.

Q: lim(x,y)->(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)

A:

Q: Find the angle between  6j + 16k  and  −4i − j  (to the nearest degree).

A: Let two vectors are u=6j+16k and v= -4i-jTo find angle between two vector use formula, |u| is the le...

Q: Calculus Question

A: The given expression is shown below:

Q: see attachment

A: In triangle ABC, angle B=124 degrees , angle C=25 degrees and length of side AC=b=44

Q: I am nee help with estimating the values for evaluation. please advise. Thank You

A: We have been provided with speed time graph. Distance travelled = area under the speed time grpah ti...

Q: b) is supposed to be rounded to 1 decimale place, i cant figure it out.

A: Consider the given model function as t(x) = 0.181x2 – 8.463x +147.376.(a) The rate of change of the ...

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y =(25x...

A: To determine the volume of solid using cylindrical shell.

Q: Let y tan(5 7) Find the differential dy when x = 3 and da 0.4 Preview 3 and da 0.8 Find the differen...

A: Given function:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: For the given numerical,(1) We will calculate the slope at the given point(2) Use the slope point fo...

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify y...

A: To find absolute extrema, take derivative and check the intervals using f(x). Apply power rule to ta...

Q: A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure belo...

A: Diameter of the semi circle = x ftSo, radius = (x/2) ftCircumference of the semi circle= pi*r = pi*(...

Q: Find the differential of each function.   y = tan(sqrt(7t))dy =   dy = y = (4 − v^2)/(4+v^2)      ...

A: Find the differential of y = tan(sqrt(7t)) as follows.

Q: Use the product rule to find the derivative of a function in the form f(x)g(X)h(x) Question For k(x)...

A:

Q: If √(x) + √(y) = 7 and y(36) = 1, find y′(36) y′(36) = ?

A: Taking derivative with respect to x,

Q: solve the initial-value problem. dW/dt= e-4t, for t is greater than or equal to 0 with W(0)=5

A: We solve the differential equation by variable separation method

Q: use marginal profit to approximate the profit from the sale of the 26th skateboard.  P(X)= 30X-0.3X2...

A:

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A: Given,

Q: See attachment

A: It is given that the triangle has two adjacent sides of dimensions 17inche and 9inche. And the inclu...

Q: How would you, in your own words, define an inverse function. If I gave you the equation  f ( x ) = ...

A: Given,

Q: Determine whether the series (included in the image) is absolutely convergent, conditionally converg...

A: The given series is,

Q: see attachment

A: Given vector is, 

Q: find F'(0)

A: The following table lists the values of function f and g and their derivatives, f ` and g`, for x va...

Q: If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with r...

A: For maximum range dR/dtheta=0v0 and g are constants.

Q: see attachment

A: From the first equation: -3x + y = -12Hence, y = 3x - 12Let's substitute this in the second equation...

Q: Express 5^7 using base e

A: From the given information the given expression is:

Q: dy/dt= 2e-t/8, t is greater than or equal to 0

A:

Q: see attachment

A: Refer to the question, for the given ordered pair (x,y) check whether it is the solution to the ineq...

Q: Can you help me with this problem step by step?

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input ...

A: Firstly , we find f(x) by sustituting x=0.9, 0.99,0.999and 0.9999 in given function

Q: see attachment

A: First point = 2 - 5i Hence, distance across real axis from the origin = 2Hence, distance across imag...

Q: Assume that f ' (x)≤ M for a ≤ x ≤ b. One can show by the Mean ValueTheorem that f (b) − f (a) ≤ M (...

A: From the given information, f(x) = x1/2, a = 16 and b = 17, then find bounds for f (17) = 171/2.

Q: I need help with number 10.

A: To calculate Δy,

Q: find an equation of the tamgent line to the given curve at the specified point

A: We find the derivative of the given function first. using quotient rule

Q: A rectangle initially has dimensions 6cm by 8 cm. All sides begin increasing in length at a rate of ...

A: The initial dimensions of rectangle are 6cm by 8cm, where length is 6cm and width is 8cm.

Q: In 1993, the moose population in a park was measured to be 3590. By 1997, the population was measure...

A: Let x represents the years and y represents the moose population . Lets assume the year 1990 as x=0....

Q: 2. Use the Comparison Theorem to show that the improper integral dax Va4 diverges. Provide a full ar...

A: Comparison test:

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input ...

A: Used x=0.999f(1)=2sqrt(1)=2f(0.999)=1.999000 was there. Plugged all the values then simplified.Answe...

Q: see attachment

A: From -3x+y=-18 we get y=3x-18 

Q: How long will it take for $25000 to grow to $42000 if invested at 5.5% compounded continuously? use ...

A: Given,

Q: Textbook Problem Salary Contract A union contract guarantees an 11% yearly salary increase for 5 yea...

A: (a)Consider the given salary function:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t...

A: Solving for b partWe know that, the percentage rate of change for the function is the value of the d...

Q: Given the function below f(x) = V-363 + 63 1. Answer in mx b form Find the equation of the tangent l...

A: First we find the slope of the tangent at x = 1 and slope is the derivative of the given function.Th...

Q: Find the limit of the following: lim     ln(tan(x)) x→π+

A: Given function is

Q: i'm having trouble with the step by step on long division  also this is how our professor taught us ...

A: Given information:

Q: How to find the implicit differentation of dy/dx=(3xex^2+8)/(y)

A: To determine the implicit differentiation of given function.

Q: Evaluate the improper integral attached with this question.

A:

Q: 31

A: The given function is tan (x + y) = x and the point is (0, 0).

Q: (c) Prove the value of lim Sin 3a o Cos 4Do NOT use L'Hospital's Rule.

A: The given limit is,