10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on Desmos.

Q: Consider the function f(x) that is described by the statment: " the function decreases to the point…

A: Find your answer below

Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.

Q: 3 | (16t3 – 12t? + 6)dt

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Q: If the powers of both sine and cosine are both even, what trigonometric ifentities to be used as a…

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

Q: Use D-I method

A:

Q: You construct an open box with locking tabs from a square piece of material, 24 inches on a side, by…

A: Solution is here

Q: y = sin* 3x – cos" 3x sec 4x y = tan 4x

A: Note:- Here your given statement is incomplete for which question you want to apply Quotient Rule…

Q: 2) Evaluate the following line integral:S. (v + z)dx + (x + z)dy + (x + y)dz where C consists of the…

A:

Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: Needed

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Q: Find the angle 8 between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Consider the function A 4xx2. Find the differential for this function. %3D Answer dA = ||

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Q: The value C for the solution of the initial value problem f'(x) = x4 – 8x + 4, given that f(0) = 0.…

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Q: Question 3 To solve the indefinite integral da we will use substitution method and let u = The…

A:

Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c

Q: Counting An employee group requires 6 people be chosen for a committee from a group of 16 employees.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Quly Please paots of antegation Solve the tollowing the 17 3. 3

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Q: Find the Maclaurin series of the function. x2 f(x) %3D 1- x7

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

A:

Q: The two planes given below intersect along line l. Determine the distance from point P (2, 3, –1) to…

A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: The value C for the solution of the initial value problem f'(x) = x° - 7x + 3, given that f(0) = 0.…

A: Given the initial value problem is f'(x) = x3-7x+3;  f(0)=0

Q: lim a. y 2 - y 7 + 6y 4 V 5x² - 2 lim b. V 5 (x + 3)

A:

Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

A:

Q: Evaluate the tolloW ing limits と-1

A: =limx→1  x-1x2+x-2=limx→1  x-1x2+2x-x-2=limx→1  x-1x(x+2)-(x+2)=limx→1  x-1(x+2)(x-1)=limx→1…

Q: Determine the points of inflection for the function y = 2x' – 3x² –12x+2 (show an interval chart or…

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Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

A:

Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: . Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 <24

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: Suppose we know that the power series )an(x - 8)" converges for x = 4. What other values of x n=1…

A: we will use ratio test to check convergence of power series.

Q: Given the function f(x)%3D 2x2 f(x + h) - f(x) Find the difference quotient h f(r + h) – f(x) Find…

A:

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

A:

Q: - 1)°dx X

A: To evaluate the given integral.

Q: For the given function find: a) The intervals on which fis increasing, b) The intervals on which fis…

A:

Q: Consider the function f(x) that is described by the statment: “ the function decreases to the point…

A: Explanation of the answer is as follows

Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 5) S V2 + sin 3t · cos 3t dt

A:

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

Q: iven the given cost function C(x)=5950+360x+1.4x^2 and the demand function p(x)=1080 Find the…

A: Follow the procedure given below.

Q: Write the sum using sigma notation: A 9+ 13+17+21+-..+ 37 > B, where 72 A

A:

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) - Choose the Maclaurin series. 6"x" In…

A: The given function is: fx=ln1-6x The objective is to find the Maclaurin Series for the given…

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A:

Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A:

Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: What are the critical numbers? State the intervals of increase/decrease to classify as either local…

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Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

A: