24. The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true? The graph of f is always concave up. The graph of f has an inflection point at x = -3. The graph of f has a relative minimum at x = 4. None of these is true.

Q: Find the points on the curve where the tangent is horizontal or vertical. (Enter your answers as a…

A:

Q: 12x5y² 9. Simplify, stating your answer using positive exponents: -3x³y

A: The expression is given by 12x5y2-3x3y To determine: The simplified expression of the given…

Q: 3-184 Find the antiderivative F(x) for each function below. Test your solution by verifying that…

A: Here is the solution:

Q: Show that the curve  x = 3 cos t, y = 4 sin t cos t  has two tangents at (0, 0) and find their…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) X-8 lim X-8 x² - 64 STEP 1: Factor the…

A:

Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: a) What type of model function is suggested by the observation "as the iodine concentration in the…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: (b) Evaluate the integral x + 3 (4-5x2) 2 dx.

A:

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

A:

Q: 16. Describe in your own words the difference between a scalar and a vector. 17. Given the vector F…

A: Scalar quantity is the quantity in which we consider only magnitude and vector is the quantity in…

Q: Consider the following matrix. +88 [148 | Find the determinant of the matrix. Find the values of for…

A: Find the determinant and then equate it to zero.

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

A:

Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: Simplify and represent the following complex number in the polar coordinates. 1+j 2-j

A:

Q: Determine the equation of the hypotenuse of the triangle using the given coordinate system…

A:

Q: 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the…

A:

Q: Consider the matrix equation Ax-0 for the following. + --•-8 A- -1 Find the reduced row-echelon…

A:

Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11.…

A:

Q: i need the answer quickly

A:

Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

A:

Q: Suppose f(x) and f'(x) have the following values. I 5 6 7 8 9 f(x) 14 18 8 6 11 f'(x) -3 7 -10 -9 2

A:

Q: For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x), (C) lim…

A:

Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

A:

Q: An integrand involving a radical form 49-16x2 suggests the substitution

A: Given: fx=49-16x2 Let, I=∫49-16x2dx   ....(1)   As we know the trigonometric identity; 1).…

Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

A:

Q: Write ftan¹¹ 11x dx in terms of ftan" a da 4

A:

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

A:

Q: eliminate arbitrary constants 3x³ + y² = cy ✓.

A:

Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

A:

Q: Find all values x = a where the function is discontinuous. For each point of discontinuity, give (a)…

A:

Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given

Q: Solve the given differential equation. All solutions should be found. 3x² - 3y - y³ 3x + 3xy² dy dx…

A:

Q: Symmetric with respect to the origin y У 4 0 X 1 + x² X

A: See this solution in below

Q: (1) Check if y(x) is a solution to the given differential equations below: (a) y(x) = exp(-2³).…

A:

Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

A:

Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. False O b. True

A:

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

A:

Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

A:

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. b.…

A:

Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

A:

Q: /4 1. evaluate [sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

A:

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

A:

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

A: