1 Given f(z) find the average rate of change of f(z) on the interval [10, 10+h]. s z+5 Your answer will be an expression involving h.

Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

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Q: Calculate the line integral [(of).do where f(x, y, z) = x ² ¹² + 4 xy² z yz с + е хуча and C is the…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = = 11 cos(t)i + 9 sin(t)j…

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Q: Solve for 0 <0 < 2π Separate your answers with commas. 0= sin 40+ sin 50 = 0.

A: Here, the given equation is: sin 4θ+sin 5θ=0...(1)

Q: 1. Given the following matrices: 12 3 41 4 2 4 6 8 A = B = 85 1 3 5 7 4 4 2 a. [(AC)BT] - DT…

A: Given the following matrices:A=123424681357-12-34, B=479853442, C=112335-23-4-1-11,…

Q: For the function f(x) = 42² +5z, evaluate and simplify. f(x+h)-f(x) h ƒ(z) .

A: Given,  f(x)=4x2+5x

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3

Q: 1. y = cost-sin 4 t

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: Find the limit. lim (t i − 3 j + t² k) 1-5 lim (t i − 3 j + t² k) − i 1-5 i k = i+ i j+

A: We can find the exact answer as below

Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

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Q: Evaluate the iterated integral. [[ (x + y) dx dy

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Q: A company can buy a machine that is expected to increase the company's net income by $10,000 each…

A: Given Continuous annual stream function R(t)=$10000 time t=10 year  ; M=10 Rate of interest r=6%…

Q: Find the curvature of the curve. r(t) =<2t, - 3sin t, 3cost)

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Q: 8. eeer +eyty dy

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Q: y = x² + 2, y = 2x + 5, x=0, x=6

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Q: b. fx(x, y)

A: Find derivatives of f(x,y) with respect x

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

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Q: the base of a three-dimensional figure is bound by the circle x² + y2 = 4. Vertical cross sections…

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Q: The plane region is revolved completely about the​ y-axis to sweep out a solid of revolution.…

A: We want to find the volume of revolution on  about the y-axis

Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: Find T(t) and N(t) at the given point. T() = N K2 r(t) = 9 cos(t)i +9 sin(t)j + tk; t= 2 =

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √2ti + e-√2tj + 2tk,…

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Q: lim- LIMIT VALUE: z²-16

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: b. √ ( 3 √ √x + ²) a dx

A: The given integral,      ∫3x+1xdx

Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

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Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

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Q: Use AXYZ, as needed, to complete the given parts. Part 1: Z 15 cm Part 2: Part 3: Part 4: Y 7 cm X h…

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Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.

Q: Find the average value of the function f(x): = 5x² on the interval 1<x<3

A: Given

Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Solve the differential equation below using series methods. y' 4xy' y = 0, y(0) = 4, y'(0) = 2 The…

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Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

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Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

Q: 4. y ln x + xesin y = 0=

A: Given

Q: As shown in the figure below, Mai is standing 100 feet from the base of a leaning tree. The tree is…

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Q: dx √1+√√x |

A: Given,  ∫dx1+x

Q: 4. Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

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Q: Question 1 Select all of the following graphs which represent y as a function of a. 4 U n J n U fest…

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Q: Sketch the region R and evaluate the iterated integral f(x, y) da. [²²-² (1 - 2x + 8y) dy dx y y 2…

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Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: Evaluate the iterated integral. 6 (x + y) dy dx Jo Jo

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…

A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.