Find the derivative of f(x)=x²77 f'(x) =

Q: Evaluate the integral ∫9−3f(x)dx, where the graph of f is the red curve given in the following…

A: The graph of f is given as

Q: Differentiating Exponential Functions Find the derivative of the function. f'(x) = f(x) = +9

A: the given function is; f(x)=(ex+9)/(ex-9).

Q: Use your answer in (a) to find the general antiderivative of f

A: The given function fx=3x5+13x-4x8 We have to write the function in exponential form and use it to…

Q: Determine which, if any, define the same function f(x)=16(4^-3x) g(x)= (1/4)^3x-2 h(x)= 16(2^-6x) 1.…

A: I am attaching image so that you understand each and every step.

Q: Evaluate dz using the given information. z = 5x² +9xy + 2y²; x = 7, y = -1, dx = 0.08, dy = -0.02 dz…

A: z= 5x2+9xy+2y2

Q: Find the derivative of the function. s = t'et

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 6. Given f: R→ R defined as f(x) = x¹, find a) f−¹({8}) b) f−¹({x : x > 16}) c) f¹({x : 0 < x < 5})

A:

Q: ****************** ************* *********** Q2)Use integration by parts to evaluate fx sec² x dx…

A: Using By parts, First function is x and second function is Sec2x

Q: Find the derivative of cosx/sinx.

A: ddxcosxsinx

Q: Determine the linear function that relates the temperature in degrees Celsius C, to the temperature…

A: Topic -Linear function We are given that At sea level, water freezes at 32 degrees Fahrenheit (0…

Q: A company that produces cell phones has a cost function of C = 17x² 115x + 22971, where is the cost…

A:

Q: - Consider the function f(x) = 2x³ – 3x² − 72x + 5 on the interval [ – 5, 7]. Find the average or…

A: given data  f(x) = 2x3 -3x2 -72x+5  interval [-5,7] given  mean slope = ? mean slope =…

Q: Evaluat 1 the indefinite integral: Jev e² √25+9e² dr

A:

Q: Use an appropriate test to determine whether the following series converges. Σ k=1 A 5k esk

A:

Q: Evaluate [²³6²³² y dydadz

A:

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A:

Q: Find the particular solution of the differential equation that satisfies the initial conditions.…

A:

Q: 4. t²dr + 2rdt = rtdt + t³ dr; when t = 2, r = e 5. cos³ x dx = tan² y dy

A: We solve the differential equation using basic properties of integration and basic properties of…

Q: Evaluate dw using the given information. 2 2x² + 5y² Z+3 W= -; x = 1, y = 3, z = 4, dx=0.07, dy =…

A:

Q: M8 n=1 1.3... (2n-1) 6 n.n

A:

Q: The expression sec x Step 1: + tan x Step 2: 1 COS.X tan x 1 Step 3: cos x sinx COS X Step 4: sec x…

A:

Q: Find the angle between the diagonal of a cube of side length 7 and the diagonal of one of its faces.

A:

Q: Find dy/dx at the given point without first solving for y. xy² = 64 at (4,4) dy dx =

A:

Q: y" + 4y = -12 cos 2x - 4 sin 2

A: I am attaching image so that you understand each and every step.

Q: Verify that f satisfies the hypotheses of the Mean Value Theorem on the given interval. Then, find…

A:

Q: d Find -(3*). Type In(x) for the natural logartihtm function. dx

A:

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. So f(x)…

A: Topic - definite integral from area We are given a graph of a function and we need to evaluate…

Q: f(x)=(4/3)^x 1. None of these 2. Increasing 3. Decreasing

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

Q: Consider the function f(x)=x^2/3 (x+20) e. Find the open interval(s) on which f  is concave upward…

A:

Q: (In z)³ dz N

A:

Q: Find the critical point(s) of the function f(x) = Check (11-9x) 7x , if any, leaving your answer(s)…

A: Given query is to find critical points.

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

A: NOTE: Refresh your page if you can't see any equations. . let's say  R'(x) is the marginal revenue…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: You have been given the following initial Problem, Please Symbolic function of x. decimal numbers…

A: The given differential equation: y''-7y'+12y=6x+e3xwith initial conditions: y0=0, y'0=0.

Q: the value of g' (a) evaluates to |a|

A: Plotting the rough graph of y = g(a), This diagram shows the graph of g(a) = |a| where a is not…

Q: Give a combinatorial proof for the following identity. (*)-Σ()* k=0

A:

Q: The series (-1)"+7 ((0,8)") 9n The series n=1 M8 n=1 (-1)" 7+ √n n=1 is ? n! The series (-1)"+7 (²)…

A:

Q: Consider the circle C of radius 4, centered at the origin. (a) Find a parametrization for C inducing…

A:

Q: 2. Evaluate 80-2[12-(5+4)]

A: we will find the required.

Q: = √√√6- ²×² + ₁ (x² + y²)(x, y, z) dV of a solid body occupying the region inside the solid cylinder…

A:

Q: Find all the second-order partial derivatives of the following function. w :3ye4x² - gy

A: Concept: In differential geometry and vector calculus, the partial derivative is used. The function…

Q: Use cylindrical coordinates to find the volume of the solid region bounded on the top by the…

A: Given: z=2-x2-y2 ; z=x2+y2

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(0) = 2 cos(0) + cos²(0),…

A:

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A:

Q: n the graph of f(x) below, what is the open interval(s) over which f'(x) is positive? -6-5-4-3-2-1 1…

A: Given query is to find the interval where f'(x) is positive.

Q: Exercise 4 Find the General Solution of the following differential equations. If boundary conditions…

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

Q: Solve the differential equation 2y In z Т I dx + O a. O b. O C. O d. y = In(x) y = £ + ¹m (2) + 1/ y…

A:

Q: Use Newton's method to find an approximate solution of In (x) = 6 -x. Start with x = 8 and find x2.…

A: I am attaching image so that you understand each and every step.

Q: dy Find implicitly. dx dy dx II x²e-x + 3y² - xy = 0

A: