Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h 14x+7h O 14x-18 as h approaches zero. Simplify your answer.

Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

Q: -:- ind the Z.T. of X(X) = cuswok u(k) 8 iwok-iwok + e 2 k X(Z) = { coswok. Z K=O 11 Wo ITs (iw zijk…

A: See my dear ! cosw0=eiw0+e-iw02 We have 122-z-1eiw0+e-iw01-z-1eiw0+e-iw0-z-2 we have to show…

Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: Find the Average Rate of Change of the following function (That is, from t = 2 to t = 5.) over the…

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Q: EXAMPLE 2 Finding Volume Find the volume of the prism whose base is the triangle in the xy-plane…

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Q: sing the substitution u = √x + 3, evaluate 2 S. VELVE √(√x + 3)2 dr.

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Q: 1. Prove that for all x, y ER, max (x, y) x+y+lx-yl 2 x+y-lx-yl 2 and min (x, y)=-

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Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

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Q: 18. Use Cylindrical shells method to find the volume of the solid that results when the area of the…

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: 2. tan o C √उ, oe all

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Q: R is the region bounded above by the function f(x) = −4+7 and below by the function g(x) = - + 2…

A: We need to draw graph.

Q: A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

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Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: Evaluate: lim tan3x x→0 x

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: solve the equation  2×+6-4(×+1)=3×+5

A: This question can be solved using the concept of solving linear equation in one variable.

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

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Q: 2 xa tinh xx > 11/ash+²³1 +0

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Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

A: Given  Center of circle h, k=2, m point on the circle is 0, 1 Radius is equal to twice of the…

Q: Use the quadratic formula and a calculator to find all real solutions, correct to three decimals.…

A: Given :

Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: 3. f(x)=-2[x]

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Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: ƒ(x)—ƒ(6) f(10) c) f(x) = =

A: To find f(x)

Q: Prove that tan'z= leto 1/2 in (1+2) tan't z • tanw=Z Z = Sinw cosw

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Q: 5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of…

A: With the help of limiting criteria we have to find the values of a and b.

Q: EXAMPLE 2 Finding Volume Find the volume of the prism whose base is the triangle in the xy-plane…

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

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Q: Find the exact length of the arc intercepted by a central angle 8 on a circle of radius r. Then…

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Q: dt z = cos(x + 4y), x = 5 t ³, y = 8/t

A: We need to find out the value of dzdt

Q: Consider the function f(x)= x² X-3 -9 Which of the following is true about f(x)? O f(x) is…

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Q: 1. Let F(x)=√1+t² dt. Find F'(1).

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Q: əz əs дz at 11 || z = e cos(8), r = st, 0 = √ s6 + 15

A: We can answer both the answer in the following steps.

Q: az au əz əv əz ?w 11 11 || z = x² + xy³, əz əz du av az aw x = uv³ + w², y = u + vew when u = 1, V =…

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Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: 5T A positive angle less than 47 that is coterminal to 4 Part: 1/2 Part 2 of 2 is 57 A negative…

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Q: Express the following functions in the form utiv • f(Z) = ln (1+z) P

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Q: Let f and g be functions defined as f(x)=x²- 2x + 4 and 25 4 DNE 1 g(x) = 3x² + ²3. If h(x) ≥ g(x)…

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Q: (19))2a² = -6 +8a

A: solve quadratic equation by completing square 2a2=-6+8a

Q: mplete the description of the piecewise function graphed belo 6+ 5

A: Here we have to complete the description of the piecewise function graph below.

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is.....

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