If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the parametric equation of the line is : O a. X=-6-8A, Y=- 2- 5), Z= -4-3A O b. X=6-8A, Y= 2- 5A, Z= 4-3A O c. X=6+ 8A, Y= 2+ 5^, Z= 4+3A d. X=-6+ 8A, Y= -2+ 5^, Z= -4+3\

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i +11 sin(t)j +…

A: Apologies for the inconvenience. The answer should have been simplified more.…

Q: 2

A:

Q: Solve the triangle. Round your answers to the nearest tenth. а %3D 23, с %3D 29, mLB %3D 102° mLA =…

A:

Q: Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

A: Let's find.

Q: x²-4 dx 2. XV xvx²-9

A: ∫1x2+a2 dx =1a tan-1xa+C.

Q: 3. Case 3 e 2k -1

A:

Q: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: If an+1 4n+5 4n +7 Up then the series E an n =1 is divergent Select one: O True O False

A: Given query is to find series converges or diverges.

Q: Checking using Second Derivative Test

A: From the secon derivative test, if the value of second derivative at the critical point turns out to…

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

A:

Q: B. For the curve y = x' + 2x? +4 a.Solve the normal line at point (-3,-5) b. Locate the possible…

A: Topic:- application of derivatives

Q: x sin(2x2)dx

A: We have to find the integral.

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. "f you…

A: From the given data:

Q: Convert to degrees. Convert 130° to radians.

A: Given query is to convert indicated angles

Q: 10) 4xy dx - (6x² +y) dy so

A:

Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

Q: . Coefficients Lincar in Two Variables: (x+y-1)dx+(2x +2y+1)dy=0 %3D

A:

Q: 4) lim (ei – 1) x 3

A: Let's find.

Q: Find and classify all the critical points of f(x, y) = 2x - 9y - xy + x2 + 5y2 .

A:

Q: answer

A:

Q: It has to be one of the answer options.

A:

Q: Researchers found the demand for cheese in a particular country for a particular year can be…

A: The equation is given by lnq = D-1.32lnp                                 ........1 Where, p…

Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: Given problem:- At what point on the line y = b does the line segment from (0,0) to (a,0) subtend…

Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: The function f : R → R defined by f(x) = cos(x – 5) is а. one-to-one but not onto. b. onto but not…

A: Let's find.

Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

A:

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

A:

Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: Solve the system of differential equations 3x1 + Ox2 x2' 4x1 + 5x2 X1(0) = - 3, x2(0) = 7 21(t) =…

A:

Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

A:

Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

A:

Q: Гесos 4x sin 4xdx eCo:

A:

Q: this was not right the answer  it was wrong

A:

Q: (с) (2x3 + у) dx — x dy %3D0..... [EXACT DE]

A:

Q: Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2<z<1 f(z) =…

A:

Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

A:

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: 7. Determine whether the given integral is convergent or divergent dx? '1 x²+1 a. convergent b.…

A:

Q: .2 3 Sx² sec² x³ dx

A: ∫x2sec2(x3) dx

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

A:

Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

A:

Q: 8.) What is the slope of a tangent line tangent to curve g(x) = v5x -8 at point x= 37 a.) 7 b)V7 d.)…

A: Since you have asked multiple questions, we will solve the first question (i.e., Question-8) for…

Q: dx 7. S. 9x2+16 tdt 8. S 9. S V25 – 4x²

A:

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 6t, where 0 <t < 2 (in…

A: To find the displacement at time t.

Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

A:

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

A:

Q: y = x' cosx

A: