Sketch and describe the locus of points in space that are equidistant from three noncollinear points D, E, and F O The locus of points consists of the line perpendicular to the plane containing DEF going through the point of intersection of the three angle bisectors of ADEF O The locus of points consists of all points in the interior of ADEF O The locus of points consists of the line perpendicular to the plane containing DEF going through the point of intersection of the three perpendicular bisectors of DEF O The locus of points consists of the line perpendicular to the plane containing ADEF going through the point of intersection of the three medians of ADEF O The locus of points consists of all lines perpendicular to the plane containing DEF.

Q: (a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2;…

A: We will find the required.

Q: 5 dy 6. If y is a differentiable function of x and x4 + 2y5 x³ = 5y2, then find dx

A:

Q: Find the first four nonzero terms in the Maclaurin Series of sin(2x).

A: The given function sin2x. We have to find the first four nonzero terms of the Maclaurin series.

Q: J J₁₂ (2²² +2y) dA where R is the region between y = x² and y = √x. Specifically, Evaluate (b)…

A: The given integral is: ∫∫R x2+2y dAwhere R is the region bounded by:  y=x2 and y=x

Q: Differentiate with respect to x: x² +2 2 f(x) = O O 4-3x f'(x) = f'(x) = f'(x) = -2x5+ 16x³-2x-7…

A: Given query is to find the derivative.

Q: Evaluate SSSs xy sin (yz) dV if is is the rectangular parallel piped bounded by the planes X= 1₁Y =…

A: A detailed solution is given below.

Q: XXXI 1: GLY (23

A: Given query is to find statement is true or flase

Q: For a certain drug, the rate of reaction in appropriate units is given by 6 4 + e + t t3 R' (t) =…

A:

Q: Evaluate the limit: limz+∞ (17) ²

A:

Q: (a) Find the power series representation centered at x = 0 for the function and determine the radius…

A:

Q: Question A) E 2 [ 1: s] Find L {(e-4t-7)²}. B) Use the definition to evaluate the Laplace Transform…

A:

Q: Can

A: Please refer to the image below

Q: Calculate: 2²√1-1 1² - dt 1 Round your answer to three decimal places

A: To solve the following integral

Q: Find the area bounded by the curve y = x² and y = x+ WRITE THE GIVEN AND DETAILED SOLUTION

A:

Q: If f(x,y)=x³y +7xky2, find fx(1, -2) where k = 3

A: Given query is to find indicated partial derivative.

Q: Use the Ratio Test to determine the convergence of the following series. n=1 2" n!

A:

Q: Let an = (2n)!) n!nn 1/n 4 for all n E N. Show that lim an = 9 n→∞ e

A:

Q: QUESTION 25 Differentiate with respect to x: f(x) = ln(x) cosh (x) O 1 coshx O f'(x) = = coshx f'(x)…

A:

Q: √4-x S₁ S x ²² x ² (1-x² - y²) d y dx x

A:

Q: d) 2.3 e) 2.8

A:

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: Tt

Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (3, -3, -3) and the direction…

A:

Q: 5. Define f: R → R and g: R → R defined by f(x) = max{-x,x} and g(x) = |x|, respectively. Prove that…

A: Given functions:- fx=max-x,x and gx=x

Q: Question 2 2. y' +10y=x²y(0) = 0 Use the editor to format your answer

A:

Q: point) Suppose that f(x) = 4x + 3x-2. Evaluate each of the following: f'(4) = f'(-1) =

A:

Q: B/2 S 19/4 $ So Sacco TS/4 6 p³ sint 0 sing dp de dp Đ

A:

Q: Question 4 y" + 4y = 8 cos2x - 8e-2x y(0) = -2 y'(0) = 0

A: The given differential equation is: y''+4y=8cos(2x)-8e-2x ;           y(0)=-2  and   y'(0)=0

Q: Can you answer the double Integral of (B)

A:

Q: Referring to the graph above, which of the following statements is corred A.f"(x) 0 for all x

A:

Q: Evaluate the indefinite integral. 1³-3x+6 1²-9 I 1² dr

A: We need to evaluate ∫x3-3x+6x2-9dx. So,…

Q: Evaluate the definite integral. 3 S²v 3x + 16 dx

A: Given query is to find the integral.

Q: Suppose a person travels at a rate of 7 ft/hr toward the foot of a street lamp pole 57 ft high. The…

A:

Q: Find the equation of the tangent line to the curve of y=sin(sin(x)) at the point (,0) Oy-1=-3x+ π…

A:

Q: QUESTION 16 Find the distance traveled by a particle whose velocity is v(t) = 6sin (31) for 0≤1≤ RIN

A: 16) Here we need to find the distance traveled by the particle.   Given velocity v(t)=6sin(3t) and…

Q: I 73 家 9 +la -2 √9x+8 dx =

A: Our Aim is to evaluate the definite integral given below:-∫-49739-29x+8dx-(i)

Q: 7. Assume that the carrying capacity for a certain region is 800 million. The population was 282…

A: Law of growth P = P0ektWhere P = population at time t P0 = initial population = 282 k = constant t =…

Q: I'm sorry but I cant understand what is written here

A:

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations…

A:

Q: (a) Determine whether the series is convergent or divergent. Justify your answer in detail. 1 1 1…

A:

Q: Find the limit. lim (1+sin(9x)) cot(x) X-0+ The value of the limit is

A: The given limit is; limx-0+ [1+sin(9x)]cot(x) Repost the next question.

Q: 4. Evaluate the double integral given by 3 fr 0 X 1 - dydx X

A:

Q: 3. Find the area of the shaded region. f(x)=√x+1 f(x) 1 -x-1

A: To find the area of shaded region

Q: QUESTION 4 For f(x) = X 1 state for which intervals the graph of f is increasing/decreasing x-2 O…

A:

Q: Show a representation of f(x) = cos(x) using the sum of it taylor series at the center

A:

Q: . What is the volume of the tetrahedron bounded by x+y+z=5, x = 0, y = 0, z = 0 ? the planes

A:

Q: 3. The gross national product (GNP) represents the sum of consumption purchases of goods and…

A: We solve the problem regarding GNP and national debt

Q: Consider the following. -3 4 y=x+2 (x, y) = 3 1 (a) Find the points of intersection of the curves.…

A:

Q: 6. Suppose that f(r) when > 0. Find df (r)/dr.

A: The given function is: f(x)=xex2

Q: 1 ƒ' (x) if ƒ (x) = x ln(tan x). f In(tanx) + x sec² x cotx sec² x cotx ) ln(tan)+cot ) ln(tana)+2…

A: Given query is to find indicated derivative.

Q: 18 Determine the limit of lx - 11 x-1 lim x-1- If f you believe the answer is INFINITY (or…

A: