4. Given the points A(1, 1, 1), B(5, 3, 2), C(-1, 3, -1) and D(2, 0, 1). (a) Find the symmetric equations of the line through the points A and B (b) Find an equation of the plane through the points A, B, and C

Q: FOR WHAT VALUES. OF A INFLECTION OF THE CURVE AND B IS (2, -16) A POINT OF GUEN BY 3 f(x) = Ax² -…

A:

Q: The velocity of a particle moving along the x- axis is given by v (t) = 2 — t² for time ₺ > 0. What…

A: The velocity of the particle is given as,

Q: 3. f(3x + √//dx 2 14. S(√₂²-1 X -)dx 2 √₂ √x-1

A:

Q: The function y e³x − 5x + 7 is a solution to which of the following differential equations? y" - 3y…

A:

Q: 5. Determine whether the geometric series 5+++ 9 27 state the number that it converges to…

A:

Q: Convert the point (x, y, z) = (-3, 3, 5) to spherical coordinates. Give answers as positive values,…

A: To convert the point  to Spherical coordinates.

Q: 2 37. f(sec²x 2 tan"x) (tan x sec x sec x) dx

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 4 sin(2x) y(x) =

A:

Q: Find an equation in cylindrical coordinates for the rectangular equation Entry Tip #1: To enter ,…

A: We have to find cylindrical equation of the the rectangular equation

Q: Solve the given differential equation by undetermined coefficients. y"8y' + 20y = 100x² - 65xex y(x)…

A: The solution is shown in step-2

Q: Use implicit differentiation to find 히히 (6xy + 7)2 = 24y = dy dx ...

A:

Q: Write v as the sum of two vector components if v = 2i + jand w=3i- 2j O (2+)+(1+) ㅇ (1%)+(1+2) O…

A:

Q: C. (I +3A)−¹ = 2 1 0 -1

A:

Q: f(x)=x²-3x³ according to the Curve Sketching Analyze the key features of the graph of Algorithm and…

A: The function isFormulas used,

Q: ou have the formula y = 3x + 12. Calculate x then y = 45

A: An equation is defined as a statement that shows that two mathematical expressions are equal."Since…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A:

Q: Tim X90 χε -3x

A: given limit

Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

A:

Q: Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. a = 10, b…

A:

Q: If A = 2ī + 3√ and B = i +2j, what is A + B? đồ O5T +37 +4 O3i+5j 07+7 and are undefined, so we…

A: If the given vectors are  then the sum of these vectors will be:

Q: The vector function r(t)-(26)j + (46² +116) k is parallel to its derivative r(t)- dr/dt when t…

A: We have to find the value of t for which vector function r(t) is parallel to r'(t).If two vectors…

Q: Find the exact value of cos15° using a suitable half angle formula. O √1+√3 2 O√1-√3 2 1° O√2+√3 2 O…

A: Here, you can use  instead of using .

Q: 0 18. (sin x- — π 4 π 4 1)dx + f (cos x + 1)dx 0

A: we have given integration

Q: Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4

A:

Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function f(x,y) =…

A: We have to find the maximum and minimum values of given function.We will use Lagrange's Multiplier…

Q: Use Stokes' theorem to evaluate F. dr. F(x, y, z) = zexi + (z - 9y³)j + (x - 5z³)k, C is the circle…

A:

Q: λ₁ = For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as…

A:

Q: GUEN f(x) = 2x² -18 x²-4 FIND ANY CRITICAL VALUES. FIND SECOND DERIVATIVE. h) FIND ANY INFLECTION…

A: We need to solve function for 2nd derivative, critical points and inflection points.

Q: 39. So In x x2 dx

A: ∫ lnx / x  limit 0 to 1

Q: Find the interest earned on $15,000 invested for 3 years at 6% interest compounded as foll a.…

A: Principal $15000Time 3 yearsRate = 6%

Q: X The function f is defined by f(x) = +2 What points (x,y) on the graph of f have the property that…

A:

Q: Consider F and C below. F(x, y, z) = yzex² i + eײj + xye×z k, C: r(t) = (t² + 5)i + (t². (a) Find a…

A:

Q: If v = 5i - 9j and w = -3i - 4j find v-w. O 21 O 51 O -21 -51

A:

Q: Suppose there is a rectangle with length L and width W (W ≤L) (in inches) that has an area of 196…

A:

Q: 1 -4 28. f(y - 3)(y³ - 3y³ + y)dy

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

Q: √a. Si eve da is Using the substitution u = equal to which of the following?

A:

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a = 75.8, b…

A: In a Triangle with sides a,b and c opposite to angles A,B and C respectively, The law of Cosines is…

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. O A = B= C=…

A:

Q: FIND dy/dx of y = ln(arccosx)

A:

Q: How many solutions does the following equation have on the interval [0, 2]? 4cos28=8cos²20 4 9 0 8

A:

Q: please provided in clear format

A: If curve is  then curve length in interval  is given by

Q: Consider the rational function g(x) 3x²-5x-2 (i) Factorise the numerator and denominator. (ii) Find…

A:

Q: Draw the graphs of the following functions (show asymptotes if any) and also write down their end…

A: The given functions,(i) (ii) (iii) .We have to sketch the graph of the functions and write its end…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. X = 3² (y² + 2)…

A:

Q: Solve the equation √√3 cote-1=0. Express the answer in degree measure.

A:

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

A:

Q: 3 The slope of the tangent of the function f (x) = + 3x at x=2 is I 9/4 -5/4 -5 5

A:

Q: 32. f(cotx - tan x)² dx

A:

Q: 2 3 -1-3p² +p² +³p_dp -2 P

A:

Q: The motion of a point on the circumference of a rolling wheel of radius 2 feet is described by the…

A: