1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2 polynomial: (d) f(x) = -0.25x² + 9x (e) f(x) = 7 1 (f) f(x) == /²2 (g) f(x)=x0.2+x-3 (h) f(x)=√x

Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: How did you obtain 8x?

A: Let's solve.

Q: Show the complete solution for the problem below. (Typewritten as much as possible) Let…

A:

Q: Using the First Derivative Test, what are the local extrema for the function s(x) = − 3x³ + 10x² −…

A:

Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

Q: Solve (e) (1-x²)y' = 4y; y(0) = 1.

A:

Q: aluate ㅠ - π 2 cos² (9x) dx.

A: Remember :  cos(2x)=2cos2x-1⇒cos2x=1+cos(2x)2 we have to find  ∫-ππcos2(9x)dx

Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

A:

Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: (g) For each fixed k, and each a such that 0 < a < 1, the series Enka" converges and thus, lim na" =…

A: Please see the below picture for detailed solution.

Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

A:

Q: x that makes each statement true. 15. 3 - 2 -X 4 = - 9 16. y². y² =

A:

Q: Find the general solution of the Differential Equation dy dx 4y x(y-3)

A:

Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: 7. AT 0=1 n n + 1

A:

Q: What is the first derivative of s(x) Select the correct answer below: O 12(28¹¹) O 28¹2 (31n 28+ O…

A:

Q: Q2: Use the substitution x² = sing to show that 1 √ √ ² x dx = [] 4√2TE

A: See this solution in below.

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 02 -- 01 3+ 2 Ⓡ O Does…

A:

Q: Evaluate ㅠ * 0 sin (9x) sin(5x) dx.

A: To evaluate the following integral.∫0π sin9x sin5x dx

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: 3. Find d² d02 sin Ꮎ (1 1+ cos 0 Simplify your answer.

A:

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Consider the function below. f(x, y) = In(x + y - 3) (a) Evaluate f(1, 3). (b) Evaluate f(e, 3) (c)…

A:

Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

A:

Q: Evaluate f(3) and f(3.1) and use the results to approximate f '(3). (Round your answer to one…

A:

Q: 2 (2xy-3x²) dx + (x² + 2y) dy = 0

A: We have to find the solution of the following differential equation in x and y.

Q: f(x,y)=(5x°-4y3, + 4xy²

A:

Q: Sketch a graph of f(x) = 2x + 5x2/5. Which of the following figures represents the curve of this…

A:

Q: ул -5 -5-4-3-2-1 -5 45

A:

Q: Provide a step-by-step but complete solution to this problem in Calculus.        Integrate dx/x…

A:

Q: lve I need a clear answer by hand, not by keyboard | dybala x-y d (b) = 21.

A:

Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

A:

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

A:

Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: OMSDAY SITUATION The population of of rabbits introduced onto an isolated island is giv- P(t) = 72…

A: Given population of rabbits P(t)=729-t 0≤t&lt;9 where 't' is measured in months.

Q: MULTIPLE CHOICE 1. Let f(x) = x² + 2x - 5. What is the x-coordinate of a point where the…

A: Let fx=x3+2x-5. To determine the x‐coordinate of a point where the instantaneous rate of change of f…

Q: f(x, y) = x² - 2x +1+3y².

A:

Q: values ( Vinx dx using the S 1 x method where Rom brook Equal A) 0-64lot Bo 65806 00-6637 O 6112 4=…

A:

Q: Find

A:

Q: The failure of several O-rings in field joints can result in a fatal space shuttle crash. Data from…

A: For the asymptote function become infinite. We can solve this as follows,

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: 37. Σ n=1 1 3η τη

A:

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

A: Given that a mold grows at a rate that is proportional to the amount present.Initially there is 6 oz…

Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

A:

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

A:

Q: I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps.…

A:

Q: Problem 2. Find [3te²¹ dt

A:

Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

A:

Q: Find the solution to the given (y + x³y³) dx + xdy = 0¹ a. 2x²+y²(x-c) = 1 b. 2x² - y²(x-c) = 1 c.…

A: We will find the required.