Find parametric equations for the line through (1,10,-3) perpendicular to the plane 10x+3y+5z=19. Let z=-3+5t. x___, y____, z_____, −∞

Q: Find a unit vector that has the same direction as the given vector. 4i - j + 8k

A:

Q: Find d -(3¹). Type In(x) for the natural logarithm function. dx

A: Given ddx( 3x ) = ?

Q: Use a triple integral to find the volume of the region bounded by 2 = 5x + 8y, z = 9, and the planes…

A: The given problem is solved below in detail.

Q: Use the Substitution Formula, ·S a. a. √√3 0 8x +1 8x +1 dx dx = b g(b) ff(g(x)) g'(x) dx = f(u) du…

A: The given integral is 8x/sqrt(x2+1), limit from 0 to sqrt(3).

Q: latitude, in S, increases. There are 34 species at I cies at 44°S.¹ Find a formula for the number,…

A: Given: There are 34 species at 11 degree S. There are 26 species at 44 degrees S. Let, N represents…

Q: For f(x) = 2x² - 4x² + 5 find the following. 4 (A) f'(x) (B) The slope of the graph off at x = - 4…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=0, and x=1 about…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Amelia is running for school president and would like to spread her message as fast as possible.…

A: Let first define variables P = no of people knows after time t t = time r = rate of spread P0 =…

Q: I have f(x) = integral x to x^4 (t^4) dt. It asks for f'(x). Please help

A:

Q: Determine the continuity of the following functions on each of the given intervals. 1. f(x)=√x² - 9…

A: we do only first part of multipart question. there for please re post other parts in next question…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 17 cm/min.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the slope of the line y= 8x +8

A: We need to find out the slope of the line.

Q: Estimate the limit numerically or state that the limit doesn't exist: x²-7x-18 x²-8x-9 lim x→9…

A: Given query is to find indicated limit.

Q: 9. What is the maximum volume of a cylinder with a surface area of 142 cm² ? (Give your answer to…

A:

Q: 4. Rewrite the following expression with only x in the exponent: 64 10/X

A:

Q: Evaluate the definite integral. S e³t i i+e¹j+t k dt k) di e³ - 0²²=1 - (0²-1) + ・(e-1 3…

A:

Q: Enter the number to complete the linear combination. gcd(57, 39) yields sequence: 57 39 18 30 18 57…

A:

Q: Work out:  ∫ x(x2+2)1/2 dx

A: To integrate  ∫ x(x2+2)1/2 dx

Q: Find all vertical asymptotes, x = a, of the following function. For each value of a, evaluate lim…

A:

Q: Question 1 g(1)= Question 2 Appunti g(0)= Question 3 lim g(x) x→2+ =

A: NOTE: Refresh your page if you can't see any equations. . as we can see point (1,3) is on the graph…

Q: Simplify: a) (x+8)%2 b) (x+8)-3/2 c)(x+8)¹3/2 d) (x+8)7/2 •) (x+8)-7/2 f) None of the above. Your…

A:

Q: An employee wants to invest $60,000 in a pension plan. One invedtinenr offers 6% compounded…

A:

Q: Calculate the launch angle needed to hit the target 15.0 m away with an initial speed of 13 m/s on a…

A: To calculate the launch angle needed to hit the target 15.0 m away with an initial speed of 13 m/s…

Q: * In (2¹) I -dx

A:

Q: 2 cot x−3 sin2x -dx sin x 5. f3 Ans: 2 csc x + 3 cosx + C

A:

Q: Q1). (a) Evaluate the following limits. (i) limx→0 x³ - 18x - 15 cos(x) 3- sin(x)

A: We need to find out the limit.

Q: Evaluate log abc 3 6 If a² = b³ = c5 = dº

A: To evaluate logdabc if a2=b3=c5=d6.

Q: for the following function by differentiating implicitly and express the result in dx terms of x and…

A:

Q: TRANSFORMING THE INTEGRAND TAKE NOTE:  the given is on the left side

A:

Q: Find all continuous positive functions f(if any) defined on [0,1] so that the integral of f(x)dx…

A:

Q: 13. f(x, y) = x¹ −2x² + y² − 3y

A:

Q: Integrate the following: s 1. 2. x dx √x+2 √²₁ x e²x dx

A:

Q: For the following exercises, use composition to determine which pairs of functions are inverses.…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the integral|x J 3 √x² √x² + 6 dx = 2 √x²+6 dx.

A:

Q: Let v(T) = 30√T. Estimate the slope of the tangent line of v when T = 200. slope = 30

A:

Q: 2. J dx 4x² 11x + 2 Hint: rewrite the denominator to express it in the form t²-a².

A:

Q: If f(x)=12x+3, find f'(-7) using the definition of derivative.

A:

Q: 4. Using a calculator, evaluate 4(t) = . 66.218 537.057 80.879 180 e (-0.4) (1) 400.597 for t = 2

A:

Q: Let u = (-6, 4,-1) and = (-2, 2, 6). Compute the following: 21 -

A: u=<-6, 4, -1> and v=<-2,2,6>

Q: Fill in the table and guess the value of the limit: y²-7y-8 y²-5y-24 lim f(y), where f(y) y→8 f(y) =…

A:

Q: An arithmetic series is defined by the formula a = 8n - 1. a) What is the first term of the series?…

A:

Q: ∫ lnx dx

A: Here is the solution:

Q: Find the volume of the parallelepiped​ (box) determined by u​, v​, and w. The volume of the…

A:

Q: Suppose that f(x) is a degree three polynomial function such that f(-3) = 0, f(0) = 0, f(4) = 0 If…

A:

Q: Solve. x+5 x+6 20 What is the solution? (Type your answer in interval notation. Use integers or…

A: We have given an inequality  x+5x+6≥0 Let,  fx=x+5x+6 Function is not defined if denominator is 0.…

Q: #4) Determine the integration constant in the below indefinite integral using the accompanying…

A: q=∫(4t2+5t4+3t+2t)dt∫tndt=tn+1n+1+c

Q: 5. (x²-x)² x3 dx 5.x² - 2x + In|x| + C

A: A detailed solution is given below.

Q: Find the distance between the skew lines r(t) = (2,0, 4)t + (6, -5,0) and p(s) = (4, -2,0) + (7,-5,…

A:

Q: dx 2. 6x 2/3 + C

A:

Q: Complete the square to find the minimum or maximum value of the quadratic function. f(x) = 6x² + x…

A: We have to find minimum or maximum value of the function.