find the equation for the plane through the points P (3,-4,-2) Q (0,0,1) and R (-5,-3,5).

Q: Three integrals are given that, although they look similar, may require different techniques of…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Answer parts A, B, C, and D please !!!!

A: a). $12,667.70 b). $12,689.86 c). $12,704.89 d). $12,712.49  Explanation:

Q: Let f(x)= xh(x). Given that h(-1) = 5 and h'(-1) = 8, calculate f'(-1). f'(-1) = [HINT: Use the…

A:

Q: 1²-1 21 √√T-1 Evaluate the limit: lim help (limits)

A: Let asume,

Q: When you turn 50 you have $600, 000 in a retirement account which receives 5% annually. You plan to…

A: Given that when you turn 50 you have $600, 000 in a retirement account which receives 5% annually.…

Q: A cardboard box without a lid is to have a volume of 16,384 cm³. Find the dimensions that minimize…

A: Let the length of the box ftLet the width of the box  ftLet height of the box  ft

Q: Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base…

A: To find the work required to pump all the water out of the cylinder, we need to calculate the volume…

Q: a) 3 2η2 – η - Στη n=1

A: Question No. (a): To determine whether the following series converges or diverges.Note: Since you…

Q: Question content area top Part 1 Solve the equation.   35 e Superscript 3 k Baseline equals…

A: The objective of the question is to solve the given equation for the variable 'k'. The equation is…

Q: Let f(x)=2x+9-19e^x. Find the equation of the tangent line to the graph of f(x) at the point (0,-10)

A: f(x)=2x+9−19ex at the point (0,−10)Using the power Ruleddxxn=nxn−1

Q: 1) A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical…

A:

Q: Consider the concentration, C, in mg per liter (L), of a drug in the blood as a function of x, the…

A: Given that the concentration, C, in mg per liter (L), of a drug in the blood as a function of x, the…

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-3t sint,…

A:

Q: Find the value of the graph of f(x) = -x² + 4 between x = -5 and x = 2

A:

Q: 4. A marine manufacturer will sell N(x) power boats after spending $x thousand on advertising, given…

A:

Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 2. y = (Type your answer…

A:

Q: Evaluate the integral. √ (sec²(t) i + t(t² + 1)6 j + (ª¹ In(t) k) dit Need Help? + C Read It Watch…

A: Given integral is Now,

Q: In this problem we consider an equation in differential form M dz + N dy=0 Find (-(2 sin(y) + 8y…

A: The given differential equation is

Q: dy dx y = 3xev dy dx - Find

A:

Q: We have a function g(x) = x3 - 2x + 1. Explain why the function can intersect the line y = x in each…

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = xy² + 3, D = {(x, y) | x ≥…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y=4√√x and the lines…

A: To find the volume of the solid generated by revolving the region bounded by  and the lines  about…

Q: Question content area top Part 1 Find the logarithm. Give an approximation to four decimal places.…

A: The objective of this question is to find the natural logarithm (ln) of a given number, 0.000306, to…

Q: The area of a square is increasing at a rate of 36 square inches per second. At the time when the…

A: The objective of this question is to find the rate of change of the perimeter of a square when the…

Q: Find dy dx 1) y = -1/323 ; tan 43 2 y = sec 5x 3) y = cos cos 2x + tan¹ \/ / 4) y = cot²¹ 2² 2 5) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Let C be the curve y = 3 + 9 4x H for 0.4 ≤ ≤ 2.3. I

A:

Q: 1 a cos x + b sin x + c a, b, c > 0, c> a, c + a c - a dx 9 where b с a 2

A:

Q: I need help with the integration of sin^3 x dx. So far, I am able to get to the point where the…

A:

Q: (a) Say that Evaluate the following integrals. (b) 5 [*₁ f(x) dx = a³. f(x) dx = 6π/4 + f(cos(x))…

A:

Q: The nationwide attendance per day for a certain motion picture can be approximated using the…

A: The objective of this question is to find the rate of change of the daily attendance for a motion…

Q: Show algebraically that ƒ(x) = |x − 1| = x = 1. J−x+1 x≤1 (x - 1 x > 1 is not differentiable at

A: Given,

Q: 7. dy dt +2y=e¹/³, y(0) = 1

A: Here a Initial value problem is given. We use Integrating factor method to solve this Initial value…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it (to at…

A: we say an integral is convergent if it has a finite value.

Q: Consider the functions f: R -> R given by f(x) = 2 + 3x + x2cos(1/x), when x > 0 f(x) = 2 + 3x…

A:

Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

A:

Q: n+1 Σ()" n=0 (x + 2)"

A: We have to determine the interval of convergence for the power series

Q: Problem #3. Find the limit of the vector-valued function: lim (tln(t), n(), √In (t²)) Give your…

A:

Q: b. lim f(x) = - ∞ * As the value of x gets close to infinity the value of f(x) gets close to…

A: First, we will understand the concept of limits.Let us consider a real-valued function “f” and the…

Q: Problem #3: Find the maximum of f(x, y) 14 In(15x10,10) y > 0. +4 subject to x² + y² = 4, x > 0,

A:

Q: Find the smallest possible sum of the squares of two numbers if their product is -9.

A: we need to find out the smallest possible sum of the square of the two numbers whose product is…

Q: Bestem om rekken konvergerer. Bestem an. Hvilken type rekke er dette? Hva er summen av rekken (ikke…

A:

Q: Help plzzz

A: The objective of the question is to determine whether the given series converge or diverge using the…

Q: Find a vector n normal to the plane with the equation 6z - n = (-5, (5x + 5y) = -1. >

A:

Q: Provide an appropriate response. 3) Find all points (x, y) on the graph of f(x) = 2x² −3x with…

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

Q: Find the value(s) of c such that the area of the region bounded by the parabolae y = x² - c² and y =…

A:

Q: 7 Calculate the area of the cardioid r=₁ area = = a(1 - cos 0) 0 ≤0 ≤ 2, using the formula -J₁² r dr…

A:

Q: Ex 5. Create a table of values of f(x) the value of lim f(x). x-1 X f(x) = √2-1 x-1 0.9 0.99 = √x-1…

A:

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

A: area of the bouned region

Q: f(x) = x² + 4x-7 compute the instantaneous slope at: (2, 2) Start with two points Compute Ax and Ay…

A:

Q: Allison lives in Whoville, which has coordinates of 60° N, 98° W. (Earth's radius is 3960 miles)…

A: The objective of this question is to calculate Allison's angular and linear velocity. The angular…