The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving along a line. a(t) = 2t + 2, v(0) = -15, 0≤t≤5

Q: For the parabola 4x + 2y² + 8 = 0, find the directrix.

A:

Q: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

A: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

A:

Q: Write 1 =x+5 9 as a piecewise-defined function. 1. f(x): = 2. f(x) = f(x) = - 1 x+5, x ≥ −45 9 1…

A: for f(x)=xf(x)=x,  x≥0-x,  x<0

Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Solve the following

Q: If a firm has the following cost and revenue functions, find the break-even points. + 1/2 x ²…

A: NOTE: Refresh your page if you can't see any equations. . given the cost and revenue functions are

Q: a. (2,2) 6 (131)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: We have to show that given vector field is not conservative. Topic:- Vector Calculus.

Q: Given f'(x) = 3x4 - 4x³ + 7. Determine which interval the graph of f is concave upward. (a.) x > 0…

A: To determine the interval where the graph of f is concave upward

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: Find the surface area of the part of the sphere x² + y² + z² = 9 that lies above the cone 2 = √x² +…

A: To find the surface area of the part of sphere lying above the cone.

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

A:

Q: Find the general solution for the differential equation. dy 2-10xy-5x = 0 dx

A: To solve the given differential equation

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) < 0 then maxima will occurs if f''( x ) > 0…

Q: Suppose that it is given to you that f′(x)=(x+4)(12−x)(16−x)f′(x)=(x+4)(12−x)(16−x) Then the first…

A: We need to find out the relative extremum and inflection points.

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: the total area of the region described. Do not count area beneath the x-axis as negative. bounded by…

A: Given query is to find the area under the curve.

Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x)=x² -…

A:

Q: Solve the linear system of equations by elimination. X + y + z = 7 + y - Z -1 -2x + 3y - = = 15 ४ -…

A: Given, x+y+z=7x+y-z=-1-2x+3y-z=15

Q: Below is the graph of a function f. -2 H

A:

Q: Use Stokes' Theorem to find the circulation of F = 3yi + 2zj + 2xk around a circle C of radius 5…

A:

Q: ermine dy for the following two functions. dx y = 3x¹ + (7 + sin x)²

A:

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

A:

Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

A:

Q: Evaluate the integral: 2₂4-2² J O*[] π 2 [1-4] 021-]+0 O O 4T e4 dydx -√4x² ex²+y² +C

A: To evaluate the following integral.∫-22∫-4-x24-x2 dy dxex2+y2

Q: tch the graph of y=tan(x) for one cycle.

A: we will plot the required graph.

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have

Q: y"y"+16y' - 16y = 0

A:

Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x) = x² -…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

A:

Q: . (2,3), (4,-5)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Prove that |cos(a) - cos(b)| ≤ |a - b| (for all real numbers a and b), through the Mean Value…

A: To prove: cosa-cosb≤a-b

Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: REVIEW 7. Find the resultant geometrically. u V-

A:

Q: SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS. 1. Find the area bounded by y=lnx, x=e^2 and the…

A:

Q: Prove that f'(c) = limh→0 [ f(c + h) - f(c) ] / h using the definition of f'(c), given that f is a…

A: Answer is in step 2.

Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Find the area of the region enclosed by y=6x and y=5x2

A:

Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

Q: Evaluate the integral 27 fa² (2³ – 3)" dx, by making the appropriate substitution: u = 27 fa" (x³ −…

A:

Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)log (3x²-2); x

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: The profit function for a certain commodity is P(x)=120x-x²-1100. Find the level of production that…

A: GivenThe profit function for a certain commodity is P(x)=120x-x2-1100   We need to findThe level of…

Q: L₂ (3x + 4) dx

A:

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

A:

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

A:

Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

A:

Q: Evaluate the indefinite integral. Use C for the constant of integration. S sin (+) √ 1 + cos(+) d+

A: Find the indefinite integral

Q: 8 If f(x) = 14 +₁ 7 0 O f(x) 14+ f(r) x", then f"(x) is co

A: Please refer to the image below

Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

A: