Find the average rate of change of the function f(x) Average rate of change = = 9 2x1 on the interval x € [-3,0].

Q: A contractor purchases a backhoe for $37, 300 Fuel and standard maintenance cost $5.95 per hour, and…

A: Given query is to find cost, revenue and profit function.

Q: The size of an exponentially growing bacteria colony doubles in 5 hours. How long will it take for…

A: Solution: Q.9  Using formula P=P0ert

Q: A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit…

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Q: e an equation that is a necessary constraint so that the matrix equation Ax = 6 has a solution. 1 -4…

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Q: Find the directional derivative of f at the point P in the direction of a. a=i-j f(x, y) = 7x³ —…

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Q: For the vectors u = (-5,0,4) and v= (1,2,-2), calculate projvu and scalvu.

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Q: ind the exponential function f(x) = Ca which atisfies the following conditions: (3) (x) = 1 9 and…

A: Given query is to find indicated exponential function.

Q: write a multiplication sentence that uses a variable

A: Given: write a multiplication sentence that uses a variable

Q: For f(x) = 8x3, construct and simplify the difference quotient f(x+h)-f(x) h (Type in descending…

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Q: (a) Write an equation that defines the exponential function with base b > 0. ○ f(x) = xb Of(x) = bex…

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

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Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: Topic = Differential equation

Q: Write the arithmetic sequence −10, −19, —28, –37, ... in the standard form: an =

A: INTRODUCTION An arithmetic sequence is a sequence of numbers where each number is the sum of the two…

Q: Find the area of the following triangle T. The vertices of T are A(6,7,3), B(8,17,4), and C(6,8,3).

A: Here we have to find the area of triangle.

Q: Let g(x) be a continuous function with a domain of all real numbers. (a) If the point (-7, 12) is on…

A: g(x) be the continuous Function. Domain : Real Number

Q: 1. y 0 y = √√√x (1, 1) y = 1/x x=8 X

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Q: Find the area enclosed by the line-x+y=2, the x and the y-axis A. 4 B2 C. 3 D. e

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Q: If the temperature is 40 degrees then the crickets do not chirp at all, and when it is 55 degrees…

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Q: Which of the following is equivalent to: ƒ53 |x² − 4| dx? 0 √²3 4 − x² dx + √₂ x² 4 dx 0 ²3x² - 4 dx…

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Q: The cosh y de is equivalent to __. O sinh(z)+C O x cosh(y) + C sinh(y)+C O y cosh(x) + C

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Q: Find B and t for the space curve r(t) = (6 sin t) i + (6 cos t)j + (8t) k. T - (cost) i+ [-sin t) ;+…

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Q: 14. lim f(x), where f(x) = { x-x+1 2x + 1 x≤ 3 x>3.

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Q: Solve the given equation for x. (Round your answer to four decimal places.) 4.9(10x) = 4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a vector that is orthogonal to the plane containing the points p(3,1,1) ,Q (4,-2,1) , and R(…

A: The points are given as , P3,1,1 , Q4,-2,1 , R5,2,-1 Find a vector that is orthogonal to the plane…

Q: Step 1 of 4: Find lim f(x). x→4 10 -5 Ay 10 5 Enable Zoom/Pan X

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the integral */4 S [(4 sin t) i + (4+ cos t)j + (3 sec² t) k] dt. -x/4

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Q: c. f(x)=√4- x

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Q: DRAW THE FIRST TEN TERMS FOR THE PATTERN FROM THE GIVEN PATTERN UNIT. 3 STARS, 1 HEART

A: Here are the terms

Q: Construct a 3 x 3 matrix, not in echelon form, whose columns do not span R³. A = -

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Q: Use a graph of for some other method to determine what, if any, value to assign to f(a) to make f…

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Q: Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) =…

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Q: Use the Squeeze Theorem to evaluate the limit: lim √5x ecos(7/2) = x →0+ ←

A: According to question,Given Limit,limx→0+5x.ecos7πx

Q: Find the exact length of the curve Arc length Y 2x ≤2<1.

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Q: Find the slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using the…

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Q: Find the vector projection of v = -6i + 10j – konto w = = 2i + j − k (Give your answer using…

A: The given two vectors are  v=-6i+10j-k  and w=2i+j-k

Q: g._ƒ(x)=(1-3x)²(x²−2)³

A: Here we use the chain rule to find the derivative of f(x). We have f(x) = (1- 3x)2 (x2-2)3 now f'(x)…

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: Find f’(a) F(x)= 1/ sqrt (x+2)

A: Given: fx=1x+2 ⇒fx=x+2-12 To find : f'a

Q: f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h,…

A: NOTE: Refresh your page if you can't see any equations. . point J and K are

Q: 3 f(x, y) = 7x3 - 2x2y³ + 3+4

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Q: For what function f and number a is the limit lim the value of f'(a)? 5t² - 8t+3 t-1 1. f(t) = 5t² -…

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Q: iven that the directional derivative of f at the point (6,-9, 1) in the 9, 1)|| = 10, rection of a =…

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Q: QUESTION 10 Given a system model what is/are the dominant system characteristic root(s)? d³x d²x dt…

A: Please see the below picture for detailed solution.

Q: (b) Use the fact that to evaluate the integral 4x²+x+62 4 (x-2)(x²+16) (x-2) 4x²+x+62 (x-2)(x²+16)…

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Q: 10) The radius of convergence of the power series E-o n² (z - i) ²n is (a) 1 (b) co (d) None of…

A: 10. The given data is: ∑n=0∞n2z-i2n Find the radius of convergence of the power series.

Q: Verify that the indicated expression is an implicit solution of the given differential equation. 2…

A: Here is the solution:

Q: 9 A company's marginal cost function is √x where x is the number of units. Total cost: $ Find the…

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Q: 3. Show algebraically that lim √²- -2x = 0. 30-00

A: The given limit is limx→∞x2-2-x We have to find the limit value. Note : If multiple question given…