Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

Q: What is the displacement of an object on the interval 0 ≤ t ≤ 9 if its velocity is V (t) = 6 -√√3t?…

A:

Q: 1. Review the basic concepts of Derivative of a function. 2. Determine the derivative of each…

A:

Q: 5-10 + 15-20+.... -500

A:

Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

A:

Q: Vector = k(cos, sin 0). 1. Write the linear combination form for a vector w with magnitude m that is…

A:

Q: x= 2y2-2y y 0 x = 12y² — 12y³ - X 1

A:

Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: S dx x2 x² + 13x

A:

Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A:

Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

A:

Q: WHich of the following represents the shell height if the shell method will be used to find the…

A:

Q: The coefficient of (x - 1)5 in the Taylor series for a In x centered at x=1 is Hint: you can't do…

A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

A:

Q: ) R.J&M Company manufactures furniture such as sofas and tables. In their current inventory, a total…

A: We have to find the number of sofas and tables.

Q: 6. y у = хбезвах y = sice те 2x Lex

A:

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: find x solve for x X+ √√x+2+√x+1 X 4 〃 7024

A: Solution is given below

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given :7x+5ydx+5x-8y3dy=0

Q: 1.Jx' dx 2.1-dx X 3.18x²dx

A: Topic = Derivative

Q: A- The result of the follo 2x² + 3x lim xxx³+x+1 02 Oo O 1 O infinity

A: To find: limx→∞2x2+3xx3+x+1

Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

A:

Q: Evaluate the integral. x² - 81 | V=² x x² - 81 | Vx² x √x². 81 X √x². 81 X x² - 81 X 1² 1² - dx = -…

A:

Q: y = x2 y = -2x4 -24

A:

Q: Find derivative of the 6tanx following function d dx

A:

Q: Make the u-substitution u = 7√x, and then use the Endpaper Integral Table to evaluate the integral.…

A: ∫1x49x+64dx

Q: Suppose

A: We will solve the problem.

Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

A:

Q: What is the minimum number of x-intercepts that a polynomial of degree 14 can have? Explain. The…

A:

Q: Your are driving away from Detroit. Your distance (in miles) away from Detroit x hours after 12:00…

A:

Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: In this question we have to find the differentiation.

Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

A:

Q: Consider a function f(x,y) that allows second partial derivatives, the derivatives for that function…

A:

Q: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

A:

Q: 7. S. 5x4x² 3 sin 2x y = 2 y = 4

A: Solution ) y = 25x .34x^2 Take log both side  log y = log ( 25x .34x^2 )  [ log m.n = log m + log n…

Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

A:

Q: use Green's Theorem to evaluate the f(x² - 3y) dx + 3xdy where C is a circle x² + y² = 4 and…

A:

Q: for the function below, the domain and the range is respectively y = x²/5

A:

Q: mal ty "THE Y PRIME" Determine the derivative of the given functions. 1. Consider the quadratic…

A: Since you have posted multiple questions i can do first question but you mention P4 so i do question…

Q: Solve the following ff12 [2yx² + 2 sin(2x) + cos(πy)] dA, if R = [−2,1] × [0,1]

A:

Q: find all fixed points and classify them where f(x) = ex+c and c ER

A: We have to find fixed point and classify.

Q: Solve for the volume of a solid above the x-y plane and bounded above by the curve z = 3x2 + 3y2 and…

A: Given: A solid above the xy plane and bounded above by the curve z = 3x2 + 3y2 and laterally by…

Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

A:

Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

A:

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

A:

Q: Function do you know from calculus is such that its first derivative is itself? (Do not use the…

A:

Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

A:

Q: Write down the first five terms of the expansion of (1 + 3x)²/½/2 for /x/ < =//=

A: