Compute the integral [31 f(x)dx, where the graph of f is the red curve given in the following figure. Note: On the graph of f, all points that are relevant for this computation have integer coordinates; the blue line is just for reference and is not the x-axis. Answer: L310 aº a b f(x)dx= va a 5 4 3- 2 * 1 -2 4 -1 -2- π sin (a) 6 8

Q: Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6…

A:

Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 2t +9. (a) Find the velocity at…

A:

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (6, -6) ||v|| = (b) v = -6i+2j ||v|| = =…

A: We have given vectors  a v=<6,-6> v=62+-62=36+36=72 v=62 b v=-6i+2j v=-62+22=36+4=40 v=210 c…

Q: 37 4 S 7 9 cot8 0 csc²0 de

A: ∫π43π49cot8θcsc2θdθ

Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

A:

Q: Find the terminal point of if the initial point is (-8, 12). The terminal point is (i v = 11i - 6j

A:

Q: We know how to determine if a given table with x and y represents a function of x or not. In this…

A: x is a function of y    here we find value of c by equating two values at same point

Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

A:

Q: sin 0 cos² 0-cos 0-2 2. S. de 3. fx² tan-1 (1) dx 4. f(cot ¹ x + tan-¹ x) dx

A: The given integral is;  3) x2tan-1(x/2) 4) cot-1x+tan-1x.

Q: Find (h−1)′(1) using the Inverse Function Theorem, given that h(x)=4x+5‾‾‾‾‾‾√. Note that h(−1)=1.…

A: Given function:- hx=4x+5

Q: 19. ſ² z² In z dz 0

A:

Q: Find the tangent plane to the equation z = z = > Next Question 5e² -2y at the point (4,8, 5)

A:

Q: √√3 9. ² 2 0 4x² (1-x²)z dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: Topic = Application of derivative

Q: Find the terminal point of if the initial point is (-13, 10). The terminal point is (i p v = 3i - 6j

A:

Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose an…

A: Let us assume that the two pine board sides are of length x ft each And let the length of the steel…

Q: 3. Given the table below showing the yearly salary based on years experience with the company for…

A: Solution: a) Let's take any two point (1, 22000) & (15, 34800)

Q: 1 X 0.5 0 -0.5 -1 -0.5 0 0.5 1 Find the surface area of the portion of the bowl z = 7.5 7 6.5 Z 6 +…

A: The given surface is: z=6+x2+y2 and the equation of the plane is z=8.We need to find the surface…

Q: -Find the directional derivative of f(x, y, z) = x²yz+z³y, as you leave the point (1,1,1) heading in…

A:

Q: АМАИ 4. In the system below, k is a constant and x and y are variables. For which value of k will…

A:

Q: By considering different paths of approach, show that the function below has no limit as (x,y)…

A:

Q: how do I find the inverse of f(x) = 2(√x) + x^3

A:

Q: The rate of change in value V'(t) of a commodities index per day is given by the following equation…

A:

Q: Evaluate the function at the indicated values. (If an answer is undefined answer UNDEFINED.) 3 - x 3…

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integra 9x+48 S3.8x² + 16x dx…

A:

Q: Consider the function f(x) = 5 - 3x², -5 ≤ x ≤ 2. The absolute maximum value is and this occurs at x…

A:

Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

A:

Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.

Q: Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zero…

A: To find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

A:

Q: The hands of a clock in some tower are approximately 4.5 m and 2 m in length. How fast is the…

A: Given: The hands of the clock are approximately 4.5 m and 2 m in length, that is, the minute hand is…

Q: 104d² 3d² + 7 A company that makes bicycles has determined that a new employee can assemble M(d),…

A:

Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: II. Identify the equation of the slope of the tangent line, the slope, and th of the tangent line at…

A:

Q: Find the area of the region bounded by the graphs of the functions: f (x) = sin 2x and g(x) = cos 4x…

A:

Q: Evaluate the integral. 5x 2x dx fate con in die 049 O ㅇ [sin 2x + cos2x) + C 12 sin 2x-5 cos 2x) + C…

A: We need to solve the following integral I = ∫e5xcos2xdx

Q: Labs Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 4 cents…

A:

Q: Compute the gradient of the following function and evaluate it at the given point P. g(x,y)=x²-3x²y…

A:

Q: Use the piecewise defined function below to answer the questions. 2 x 0 f(x) = √x³. 5 1/x

A:

Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

A:

Q: A golfer stands 480 ft (160 yd) horizontally from the hole and 40 ft above the hole (see figure.)…

A: We have to find the angle that the ball be should hit.

Q: Sketch the given region of integration R and evaluate the integral over R using polar coordinates. 1…

A:

Q: 18. fcot'0 sin¹0 de 20. f cos³x sin 2x dx 22. ² sec (1/2) di

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2x+21 2.9x+18 In In…

A:

Q: (a) Find the domain of the function. (Enter your answer using interval notation.) √x 2x 11 g(x) =…

A:

Q: QUESTION 1 If f(x) =x and g(x)=k-x are orthogonai 01 를 o oo o Im ~/ |m t/m 04 04

A:

Q: What is the area of this figure? 6 ft 4 ft 6 ft 7 ft 2 ft 6 ft 9 ft Write your answer using…

A: Ans: Total Area=81.5 square feet  For detail....go through the solution...I have solved step by step…

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (3,-3) ||v|| : = (b) v = −7i+j ||v|| : =…

A: As we know that, If the given vector is v=xi+yj+zk or x, y, z then the expression for the norm of…