cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f continuous on (-00, 00)? C =

Q: Question 3 of 4 (x² + 1)5 y = (23 – 1) – 1)

A: According to guidelines, we must answer only one question of the multiple questions given. Please…

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A:

Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

A:

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (7, 5, 1.386) x(t) =…

A:

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

A: We will do partial differentiation to find maximum or minimum point

Q: if x 1. z +1 Given f(x) = 2x 1 Then, lim f(x)%= 2+1+ O does not exist O 2 0 1

A:

Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

A:

Q: An object moves along a line, where its velocity function is as described by the graph below. What…

A: answer is in next step

Q: velocity? Answer:

A:

Q: 26. At 2:00PM. The temperature of a tank of water is 200°F. at 2:30PM its temperature is 160 °F.…

A: Given: Temperature of water T∘=200°F at 2:00PM             Temperature of water  T=160°F at 2:30PM…

Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

A:

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: On what intervals is the function f(x) = continuous? x(x - 1)(x- 2) 1. (-00,0) 2. (0,1) 3. (1,2) 4.…

A: First draw the graph Uasing limits and the check the countinity of this function

Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: aluate the integral / (8 x + 18y)dx + (24x – y)dy alor y = x² from (0, 0) to (1, 1). TE: Enter the…

A: Topic:- application of integration

Q: Use the formula r(t) - – P) x r"(0)|| to find giớ). ||P() × to find x(t). r(t) = e!l"i + e tj 156…

A: Given problem:- Find k(t) of r(t) =e12t i +e-t j

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A:

Q: r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by…

A:

Q: | (csc 0)(1+ sin? 0 + sin 0 cot? 0) do а.

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t dt

A:

Q: dy + 2ху dx %3D

A: integrating factor method.

Q: 3 dy – sin-! 3y -12+C %3D sin-1. 4- 9y 3

A:

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A:

Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

A:

Q: 6. y = (x +3x + 2)(x2 +5x + 1)

A:

Q: 3/2 dy The order and degree of the differential equation (). - 4 = 0 dx - dx2

A:

Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: 1— 2 — е-7 lim 2.x e sin(8x) →-

A:

Q: 3x. If sales are increasing ompany's revenue from selling a units of an item is given as R = he rate…

A: Given query is to find rate of change of revenue.

Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

A:

Q: If the function f(x) is continuous in the interval [-7.0] and f(-7) = 32 and f (0) = –1, then which…

A:

Q: Solve the following initial valued problem x²y' + 2xy = e*, y(1) = 0

A: To find the solution of the given initial value problem.

Q: The equation of the tangent line and the normal line to y = x² – 4x +

A:

Q: (a) x = 0: dy/dt (b) x = 2: dy/dt (c) z = 3: dy/dt

A:

Q: b. Vr4 – 2.x² + 1 dx

A:

Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A:

Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

A:

Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

A:

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A:

Q: S- dx x?V4-x?

A:

Q: Find div F and curl F if F(x, y, z) = 7e*Y i – 6 cos yj+ 10 sin? z k. - div F= curl F=

A:

Q: 4.) on this item Pinal (Vx+Vx)* dx Use only The Method of substitution/u-substitution answer should…

A: We have to find the integral