O Differniate the function after a di fferewt form first rewirming the functio^ * Dont use Product dr Quotient rule FCt) = C6t -7)

Q: Consider the following function. f(x) = |x − 5| Find the derivative from the left at x = 5. If it d...

A:

Q: 13) f(x) = x2 between x = 1 and x = 5 using a lower sum with four rectangles of equal width. A) 54 1...

A: Here we will use basic definition of reimann sum/lower sum.

Q: Verify that y = e 3x cos 2x is a solution of the differential equation y"-6y' + 13y = 0

A: To verify that y=e3x cos 2x is a solution of the differential equation y''-6y'+13y=0.

Q: Solve the follow ing differential equation: x²y'-2xy = x* sin 2x. %3D

A:

Q: Evaluate f(9) and f(9.1) and use the results to approximate f '(9). (Round your answer to one decima...

A: Given:- f(x) = x(7-x)  To find:- Evaluate f(9) and f(9.1) and use the results to approximate f '(9).

Q: Find the formula for the graph above, given that it is a polynomial, that all zeros of the polynomia...

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Q: Determine if the following limit exists. Compute the limit if it exists. x2-49 lim x-7 x+7 Select th...

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Q: Find the domain and range of the following functions f(x,y) = 4x² + y² f(x,y) = Vx2 + y2 – 4

A: Topic:- Functions  As per our guidelines, only one question(with sub-parts) will be answered at a ti...

Q: III. Find an angle between 0° and 2m that is coterminal with the given angle. 21m 4. 2. 5 51m 3. 12

A: Please refer the attached image for complete solution.

Q: f Gx) =800,002 20+ 50eX Find fle inverse funcfion and esplean cohal it eans

A:

Q: To answer the following questions, suppose that Só f (æ) dx = 4 and S s (2) dz -6.

A:

Q: Consider the function on the interval (0, 2x). f(x) = sin x cos x + 3 (a) Find the open interval(s) ...

A:

Q: Sales Analysis A company's total sales (in millions of dollars) t months from now are given by S(t) ...

A: For finding the predicated total sales we have to put the time in the given function.

Q: if r 2 4 -5 -4 3 -2 -1 3 4 -2 -3- -4 -5+ Clear All Draw:

A:

Q: Find the area of the triangle determined by the points P(1, 1, 1), Q( -4, -3,  -6), and  R (6,10,-9)...

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Q: 4- 3- 4 5 6 -2- -3 -4- The graph above shows the base of an object. Compute the exact value (in term...

A: Given that Graph showing the base of an object Now we will evaluate this as shown below  

Q: rify that y = 4+ C2x + C3xlnx + 4x² is a solution of x³y' + 2x²y" – xy' + y = 12x² %3D

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Q: Problem 2. Find general solutions of the differential equations. Primes denote derivatives with resp...

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Q: If f(x) = x2/(5 + x), find f "(5). f "(5) : %3D -0.02

A: Solve the following

Q: 1 dy y = x-'(a² + x²)z, solve for dx

A: Solve for the derivative

Q: 1. 3. 2. 16

A: Topic - addition of fractions To add fractions,they must have same denominator.if fractions do not h...

Q: Solve the problem. Find where the tangent to the curve f(x) = V+1 that has slope . O x = 3 O x = 1 O...

A:

Q: etermine a > 0 so that · |22 + y² + ds = V2, a here C'is the part of the circular helix parameterize...

A: To find the value of a. ∫Cx2+y2+zads=2 C is defined by,  rt=cosat,sinat,at ,   0≤t≤2

Q: Given the function f (x) = x³ – 12x² + 40x - 18, determine all coordinate points (x, y) on the graph...

A: The objective is to find points (x,y) on the graph of f so that the line tangent to at the slope of ...

Q: Discuss the limit of the function as x approaches c and the value of the function as x = c.

A: Discuss the limit of the function as x approaches c and the value of the function as x = c.

Q: What are conic sections. Explain it.

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Q: -- ((-0) - 2/7 (VE-1} + †(1² – 0)] €r (* +2/2- 4)

A:

Q: 14) f(x) = x2 between x = 3 and x = 7 using an upper sum with four rectangles of equal width. A) 86 ...

A:

Q: If the population of a city is P 6000 (1+0.09t+0.006t), where t is in years from 2000, what is the a...

A: The population of a city is P=60001+0.09t+0.006t2

Q: 4. Perform a hyperbolic substitution: dr

A: This is a problem of trigonometry calculus. Here we will substitute the hyperbolic function in place...

Q: 12. What is the median for the population of scores shown in the frequency distribution table? f 1 3...

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Q: Q2: Given the function y = x a) Find the inverse of the function b) Sketch the graph of y = x and it...

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Q: Determine if the given differential equation is homogeneous, separable, linear, or exact. a. 4x (1+ ...

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Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of f at x = 4 as 2 3x fo...

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Q: [2] Determine the values of r for which the differential equation 2y"+ 5y'- 3y = 0 has solutions of ...

A:

Q: lim x→∞ [ln(8 + 3x2) − ln(1 + x)]

A: We have to find the limit.

Q: Use the Bisection Method to find an interval of length 0.125 or less that contains a root of x 3+2x−...

A:

Q: Suppose that f(x) = 5x? - 4. %3D (A) Find the slope of the line tangent to f(x) at x = 5. 50 (B) Fin...

A: Given f(x)=5x2-4. ⇒f'(x)=10x

Q: For each of the following questions, if there is more than one solution, enter all solutions as a co...

A: Recall: Horizontal Intercept :An intercept is a point where the line or curve passes through the x-...

Q: x2 — х + 36 dx х3 + 6х

A:

Q: (I) Determine the gradient of f. (II) Calculate the gradient at point P. (III) Determine a rate of...

A: Formula: Grad f= (∂f/∂x)I +(∂f/∂y)j +(∂f/∂k)I  

Q: The graph above shows the base of an object. Compute the exact value of the volume of the object, gi...

A: For calculating the volume of the given cross-section first of all we will replicate the actual shap...

Q: Use the graph of the function f to decide whether the value of the given quantity exists. (If an ans...

A: Given the graph of function f

Q: 2 w2 In(w) dw

A: To evaluate the integral ∫12w2lnwdw

Q: at each of the following points, choose the selection that best describes the nature of the function...

A: Please refer to the image below

Q: Find y". y = 6 sin(2x + 10)

A: Given,            y=6sin2x+10

Q: A function f(x) = 1/x is transformed into a new function R(x). To form the new function R(x), f(x) i...

A: Topic:- Functions 

Q: | (x – 3)sin(x) dx

A: To find ∫x-3sinπxdx

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window. 4....

A:

Q: A farmer has 70 meters of fencing to enclose a rectangular garden that has one side of the garden ag...

A: Given:- A farmer has 70 meters of fencing to enclose a rectangular garden that has one side of the g...