Find the instantaneous rate of change for the function at the given value. f(x)=x² + 4x at x = 2 The instantaneous rate of change at x = 2 is

Q: (7) Function f(x) is defined as y = sin x + ln x, Note that x and y are functions of t. Find…

A:

Q: f (x) || 2x+5 5x-1

A:

Q: Find h(x, y) = g(f(x, y)). h(x, y) = g(t) = t + In(t), f(x, y) = 4-xy 5+x²y² +In 4 - xy 5 + x²y² X…

A: Given: To Find: To find .To find the set of points at which  is continuous.

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

A:

Q: 7x+3y-4z+8=0, determine: 6. For the plane (a) its z-intercept. (b) one vector equation of the plane.

A: X/a + y/b + z/c = 1 is intercept form of plane

Q: Find the area under the graph of y = -x² + 4x on the interval [0, 2]. 1 4 3 2 1 ISH|| 5 4 3 -2 -114…

A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: the

A: Solving the problem

Q: Find the sum of the infinite geometric sequence. n 4 i=1 5n-1 Σ If the answer is not an integer,…

A: To find the sum of the following infinite geometric sequence.

Q: 10. Two forces, one of magnitude 5.3 N and the other of 11.9 N act on an object. The angle between…

A:

Q: Find a) any critical values and b) any relative extrema. t(x)=x³ + 10x - 3

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: In(x) lim x1 x - 1

A:

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: Find the derivative of y = sin ¹(√2x) -

A:

Q: Suppose f(3) = 2, f'(3) = f'(x) > 0 and f"(x) < 0 for all x. (a) When is f(x) increasing?

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1) 10 Σ k!…

A:

Q: f (x) = x² − x − 2 X x+2

A:

Q: 4. In the symmetric equation line. (. x-1_y+2 3 = -1 -2, explain in words how a student would…

A:

Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

A:

Q: 2. Prove that fo So dx=3(2-√2)

A: We need to solve integration problem.

Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

A:

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: Question 5 Using Cramer's rule to solve the following system of equations, what are ? 4x + 3y + 12z…

A:

Q: Calculate the double integral. J (2y + xy-2) dA, R = {(x, y) | 0 ≤ x ≤ 2,1 ≤ y ≤ 2}

A: We have been asked to calculate the double integral.Region

Q: For the differential equation: 0 1 О о Oe Οπ dy dx || e²x+1 1+tan(y)' what is the slope at (0, π)?

A:

Q: 11. g(t) = 1 (2t + 1)²

A:

Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit s $10…

A: We have to use the given information for solving the sub-parts

Q: 30. The population of a bacterial culture was 5000 bacteria after 15 min and 40 000 bacteria after 1…

A:

Q: Convert the given angle to decimal degrees. Round to 4 decimal places 10°12’25” =

A:

Q: ¬ f(x, y) = −1+7x − 6x² - 7y+5y² -

A:

Q: You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by…

A:

Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

A:

Q: 2. Given that p = (5,-2,4), (3,-4,-2), and F = (-3,2,1), calculate the following. a) p q b) the…

A:

Q: Solve the given initial-value dy dx - 2xy = 5y4, problem. The DE is a Bernoulli equation. 1 y(1) = ¹…

A:

Q: Sketch a continuous curve for which each of the following statements is true. • f(-1)=0, f(0) = 2,…

A:

Q: [.. I (x2+4)2 da First we will do the indefinite integral I S da (x²+4)2 (a) Use the substitution =…

A: We solve this integration problem by using general property of integral.

Q: b. SET-UP only the definite integral using cylindrical shell method that will give the volume of the…

A:

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) a) f(x) = x³5x b) g(x)= Fl

A: Use the quotient and product rules of the derivative

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: stance in between the point P

A:

Q: A slice of a circular pizza 10 inches in diameter is cut into a wedge with a 90° angle. Find the…

A:

Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1, 4]. -0.5 3- 2+ 1 0…

A: Given that ,and the graph isFind the area between the graph of and the y-axis on the interval .

Q: In Exercises 17-28, use the Direct Comparison Test to determine whether the infinite series is…

A:

Q: 28. The displacement of an object attached to the end of a spring can be modelled by the function π…

A: Given the displacement function is h(t)=2.4 cos.

Q: Friday June 2 Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE.…

A: Find the limit from the graph÷

Q: Question 2. a -1 ·(9) :)+(C) -(0) b +3 2 с 5 3 a. If 4 Find a, b, c b.If X + 0 = X what can you say…

A: