Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

Q: The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

A: Follow the procedure given below.

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

A:

Q: Given that i = and i = and that i • v = 188 determine the value of the constant A.

A:

Q: 8. Let 7 (t) = < - 2 cos(8t),- %3D Find fF(t)dt (don't include the +C) frona -

A:

Q: APPLICATION I. Find the antiderivatives of the following functions using the substituion rule. Write…

A: Solving the problem by finding the value of the integrals.   NOTE :: As per our Expert guidelines we…

Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: Given parametric equations of a curve.

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

A:

Q: 'If you have three functions: f(x) = x2 – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and fow(x)…

A:

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O…

A:

Q: What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y?…

A:

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

A:

Q: Solve e2x + 7e*+6= 0 Show every step.

A: We have to find the value of x according to the given information

Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

A: According to our company's guidelines I can only answer first question, since you have asked…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 4t2 – 2 sin(5t)…

A:

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

A:

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: dy Find dx of æ³ – y? = 5 by implicit - differentiation and evaluate the derivative at this point:…

A: According to our guidelines, we can answer only one question or three subparts of a question, other…

Q: If function h has an inverse and h(- 5) = - 4, find h( - 4). h(- 4) = O

A: Find h(-4)

Q: 13. Find the mass of a thin funnel in the shape of a cone z = x² + y²,1<z< 4, if its density…

A: It is given that, the equation of a cone is z=x2+y2,1≤z≤4 and the density function is δx,y,z=10-z.…

Q: 1. メーメー2 xペー5x+6

A:

Q: . Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: (a)x=7sint , y=t2+1 at (0,3)sint=x7 t=sin-1x7 now, y=t2+1substitute t=sin-1x7  in  y=t2+1y=sin-1x7…

Q: The world population was approximately 6.04 billion at the beginning of 2000. It has been estimated…

A:

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: Use properties of logarithms with the given approximations to evaluate the expression. log 3x0.477…

A:

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x 5. S dx V1-x2 6. Se…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y 15- and…

A: Area between the two curves f(x) and g(x) over the integral [a,b] is given by A=∫abfx-gxdx

Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

A:

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: The population of a town can be modelled by the exponential equation P(n) = 12000(1.02)"-2015, where…

A: If p(n) is the population of the town then  p'(n) is the growth rate of the population.

Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

A:

Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

A:

Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

A:

Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: (Drag and drop the missing words) ]sthe[ An of a definite integral as an endpoint of the interval of…

A: We have to fill in the blanks about improper integral.

Q: Solve for the indicated higher-order partial derivatives, frx, fæy , fyy. f(x, y) = e" sin y + e"…

A:

Q: 5" converge or diverge? Does the series n= 1 Choose the correct answer below. O A. The series…

A:

Q: S=sin(In x) dx

A: To evaluate the given integral.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Given that u= and v= and that u.v= 199 determine the value of the constant A. Answer:

A:

Q: Find for the Implicit function: dx x2 – sin(xy) + y? = 5xy

A:

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumption varies according to the…

A:

Q: Give the truth value of the sentence - (2 > 3) – (3 > 2) -- (3 > 2).

A: Let's find.

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: