Find the slope passing through the two given points. 1.) (1,-3) and (0,1)

Q: 4) Consider the function F(x) = f f (t) dt . Find F¹ (7). O F(7)-F(2) O f(x) O f(7) Of(7)-f(2)

A: Given query is to find indicated derivative.

Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

A:

Q: Find the slope of the following lines.

A: given graph of a line

Q: and flux of F=(x, 7T T ≤t≤ the circulation y) on C: r(t) = (3 cos (t), 3 sin(t)) for is positive,…

A:

Q: Use a double integral to find the area of the region bounded by all leaves of the rose r = 5 sin 50.…

A: The given curve is: r=5 sin5θ

Q: Find the most general function M(x, y) so that the differential equation below is an exact…

A: Let's solve given diffential equation.

Q: y"" y'=sin(3x)

A: The given differential equation is:y'''-y'=sin(3x)

Q: 1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0…

A:

Q: 6. 2 S²³ x5 ln x d

A:

Q: (b) Hence find the value of | Vy 2y(1 + y2x) ey?x dx dy. (c) Find the value of vaz-x2 ( + )

A:

Q: Problem 2. f = Is the integral XT dx convergent or divergent? Hint: There is a test that allows you…

A:

Q: In problems 3-5, use the building block n=0 Σ", <1, together with the result differentiating and…

A: Note : As per our guidelines , we can solve first question . Please repost remaining question .

Q: g. What is the general equation of a circle whose center is at M(5,-3) and whose radius is 4 units.…

A:

Q: Consider two nonnegative numbers x and y where x + y = 13. What is the maximum value of 3x²y? Enter…

A: We will use critical points to find the maximum value of the function.

Q: eah expressi 36 Si=1/3180° < 0 <3·10° 0 ter 0 312=80 Simplify 3

A: Given that:sinϕ=-13 ;           180°&lt;ϕ&lt;270°

Q: What is the rate of change of x with respect to y when the bottom of the ladder is 4 m away from the…

A:

Q: (d) Give one example to illustrate that vectors satisfy the triangle inequality. Justify your…

A:

Q: Find the slope of the following lines.

A:

Q: ૨ 2 (D² -2D +10) y =0

A: Solution : Given that DE is

Q: 9. lim 818 4x + 3 5x − 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let -3 -3 -1 4 -1 -3 022 Evaluate the determinant of A using the row or column that minimizes the…

A:

Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: 2. Obtain the general solution by the indicated technique: separation of variables 2.1…

A: 2. According to question,2.1 Given Differential equation,2a2-r2dr =r3 sin θ dθ,We have to solve this…

Q: 1.1. Evaluate the following integrals: a. ²x dx b. (2x+3)√2x-1 dx

A:

Q: = e 3 from x pproximate the area under the curve y with 4 subintervals. Round your answer to 4…

A:

Q: Q5.2 You have been. given the equation Find a particular following differential solution. for it…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

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

Q: Use polar coordinates to set up and evaluate the double integral JJ f(x, y) = 5arctan, R: x² + y²…

A:

Q: S sin² (x) cos(x) dx

A:

Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

A:

Q: 2. The position of a rider on a Ferris wheel is an example of periodic motion. Find three other…

A: 1 )A Rocking Chair

Q: a) b) (2,5,-1). Find the values of a,b in a +ib=(3+i)(2-3i where i=√√-1 Find the position vector…

A:

Q: The linear approximation at where A is: and where B is: = 0 to sin (3x) is A + Bx

A: We need to find Linear approximation.

Q: (c) f(x, y, z) = ln(x+y+z)+√√√x+y+z x+y+z xyz

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the funct 8 + sec(6t) dt…

A:

Q: Convert the general form to standard form of parabola

A:

Q: -G) ¹ + ¹ +)* 3 2 (f)_7(t)=e¹i+e¹j+t√2k for 0≤t≤1 (e) r(t)= k for 0≤t≤1

A: (e).The given vector function is:r→(t)=t33i→+t22j→+12k→          for   0≤t≤1

Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

A:

Q: Solve the given Homogenous DE 1) y (ax-2y)dx -x (6x-y) dy=0 when x = 1, y=1

A:

Q: The matrices A and B are given by and C = BA. Give the value of c 2,1. a) 06 b) O-1 c) 00 d) 08 e)…

A:

Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 9) = +2 3…

A:

Q: Prove or give a counterexample: Given x > 0. If x is irrational, then √x is irrational.

A:

Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v

Q: 6. $2 wwwage 2+1 3335

A:

Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: A person drinks a cup of coffee. Assume that the caffeine enters his bloodstream immediately and…

A: The half-life formula is given by, f(t) = (Amount of caffeine initially) [1/2](t/(t1/2)) where t1/2…

Q: COMPLETE STEPS AND SOLUTION [NO SHORTCUTS], SIMPLIFY IF POSSIBLE 3. Find the differential equation…

A: