Find the derivative of the function. h(t) = In(5)5t h'(t) =

Q: Use interval notation to indicate where f(x) = x+2 if x 1

A:

Q: A car rental agency rents 420 cars per day at a rate of $30 per day. For each $1 increase in rate,…

A: Given,  a car rental agency rents 440 cars and charges $30 per car. Also, when he increases the…

Q: Find the particular antiderivative that satisfies the following conditions: F(x) = F'(x) = x³ +8√x;…

A:

Q: Evaluate the integral. 5x 2x dx fate con in die 049 O ㅇ [sin 2x + cos2x) + C 12 sin 2x-5 cos 2x) + C…

A: We need to solve the following integral I = ∫e5xcos2xdx

Q: Find the angle between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) (a) radians 0…

A:

Q: Evaluate the following summations. (a) _ Σ = 4k2 + 5k – 3 n-1 k=1 (b) Σ+1 i=1 Σ=&ij

A:

Q: An electric charge, Q, in a circuit is given as a function of time, t, where C and R are positive…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: find limx->7 g(x) (x+4)^2 > |g(x)-5|

A:

Q: By the Horizontal Line Test, the graph below represents a one-to-one function.

A: Horizontal line test - If a horizontal line intersect the graph of a function more than once then…

Q: Graph the function defined by (1 {} g(r) = + cos(πr/2) for -2≤r≤2 for r 2.

A:

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1,100- dv V…

A:

Q: The following functions are inverses of each other. f(x) = 3 x3 + 8 and g(x) = True O False 8

A:

Q: By considering different paths of approach, show that the function below has no limit as (x,y) →…

A: Part A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. ENOTE: Enter the…

A:

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

A:

Q: Model the data using an exponential function f(x) = Abx. f(x) = x 1 f(x) -51 X 2 -65.025

A:

Q: Consider the function f(x) = 5(x-4)2/³.

A:

Q: nd the missing value. y is directly proportional to x and inversely proportional to the square of z.…

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

Q: -6 -5 -4 -3 № 10 8 4 2 -2 4 -8 -10+ 1 2 3/4 The function graphed above is: Concave up on the…

A: Solution below

Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

A:

Q: Textbook If f(x) f'(x) = 4 sin r 3+ cos z Videos [+] Submit Question then f'(1) = Question Help:…

A:

Q: Biologists have proposed a cubic polynomial to model the length L of rock bass at age A: L =…

A:

Q: Use the graph of f" shown below and the letters A, B, C, and D representing x values to answer the…

A:

Q: Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

A:

Q: Consider the following series. n = 1 Using the Ratio Test, find the following limit. (If the limit…

A:

Q: Find y as a function of x if y" - 7y" +12y = 18e", y(0) = 25, y'(0) = 26, y'(0) = 25.

A:

Q: Calculate line integral 9 F-dr, where F(x, y) = (x² + y, 3x −y) and C is the positively oriented…

A: To calculate the line integral of the vector field F along the boundary curve C, we need to…

Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

A: The function has a maximum of -1 at x = -3, meaning that the function reaches its highest value at x…

Q: A solid is formed by rotating the region in the first quadrant of the xy-plane y = e2 + 1 and x =…

A: We need to find out the volume of revolution.

Q: Q1. Compute the following derivatives: = (a) dx (c) (b) =[5 - 3x] = = dx [] = d) [6 = dx

A: see below the answer and calculation

Q: Let L₁ be the line passing through the point P₁=(5, −1, −14) with direction vector №₁=[0, −1, −2]¹,…

A: Given:L1 : Line 1 passes through P15,-1,-14 and with direction vector d1→ = 0,-1,-2L2 : Line 2…

Q: 4 The volume of a cantaloupe is given by V = The radius is growing at the rate of 0.6 cm/week, at a…

A:

Q: QUESTION 1 If f(x)=x and g(x)=k-x are orthogonal over [0,1]. Then k = ..... O 1 O O N/W W/A W/ W/N…

A:

Q: A swimming pool whose volume is 10, 000 gal contains water that is 0.01% chlorine. Start- ing at t=…

A: Given that , Volume = 10000 gal chlorine = 0.01% Rate = 5 gal/min

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)2=25(x^2−y^2) at the point…

A:

Q: Macmillan Learning Find the interval of convergence of (x-4)" In (3n) n=2 (Use symbolic notation and…

A:

Q: -4 -3 -2 A -67 -134 -201 -268 2 3 4 5 6 7 -335 -402 -469 -536 -603 -670+ For the above quartic…

A:

Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: Solution: 1. The temperature of a metal ingot placed in the furnace and then removed.

Q: r = ep 1 - ecose

A: Given    r=ep1-ecosθ

Q: Find the derivative of the given function. 1 17z dy dz y = 8z³ +

A:

Q: 6 sketch region bounded by the graphs of the functions and find the area of the region.

A: Here we have to find the area.

Q: - Q3. Find the point on g(x) = 2x(x − 3) whose slope is 6.

A: To find the point on gx=2xx-3 whose slope is 6.

Q: how do you solve the equations 1 and 2?

A: Solution: Given data, x³+19x²+103x-135>0 x³+19x²+103x-735<0

Q: Evaluate the integral by changing to cylindrical coordinates. 9-y² 6 T [T 9- y2 x² + y² xz dz dx dy

A:

Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

A:

Q: Set up an integral for finding the Laplace transform of the following function:

A:

Q: Consider the function f(x) = (x + x)² +9.

A:

Q: Find the limit by rewriting the fraction first. xy-y-5x+5 X-1 lim (x,y)-(1,7) X#1 lim (x,y)→(1,7)…

A:

Q: Find the components of the vectors. (a) (1,5) (4,1)

A:

Q: Indicate whether each statement below is true or false. (a) If the graph of an equation passes…

A: