Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the derivative does not exist at c, enter UNDEFINED.) f(x) = x2 − 3, c = 8 f '(8) =

Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

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Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: A point is given on the terminal side of an angle drawn in standard position. Find the values of the…

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Q: 2Y+ 3/4X=Z/3

A: The given expression 2Y+34X=Z3 we have to solve the expression for X,Y and Z

Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: Let's find radius and center of circle.

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 2y 5x - 3x = -5 and 5y…

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Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

Q: Use the Chain Rule to find dz/dt. z = xy9 − x2y,    x = t2 + 1,    y = t2 − 1

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Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: y' xe2y subject to initial condition of y(0) = -1 =

A: Please see the below picture for detailed solution.

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

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Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x² x +9x-22 x²-4 lim X-2 -

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Q: Differentiate. g(x) = 4x-9 5x+1 g'(x)= 3 + X

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Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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

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Q: dz dt || z = cos(x + 3y), x = 8t³, y = 9/t

A: By the use of chain rule we need to find the required derivative.

Q: 1. You place $5 on Odd, $5 on Red, and $5 on Column 2 and the number 5 appears after the spin of the…

A: given data $5   on odd $5  on Red $5  on column 2   result 5 appear   result in our favour 5 is odd…

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: Find a formula for the described function. An open rectangular box with volume 7 m³ has a square…

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Q: 2. tan o C √उ, oe all

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Q: Q: A. Find if w = xy + z.x= cost.y = sint and z = t at t = 0.

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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: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

A: The total cost Cx in dollars of producing x suits a year is given by a function C.Cx=Variable…

Q: Express 0.96 in the a/b where a and b are integers such that b=0

A: Given data:- The given equation is 0.96,

Q: 2. Find the volume of the solid that results when the area of the region enclosed y=√√x on [1,2] is…

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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: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

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: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x,   y =…

A: Given :

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

A: We need to find out the value of dzdt

Q: 2) Consider the function g(x) = 5 + 6x²-5x-1 3x³-4x+1 a) Find the Limit of g(x) as x approaches…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: K False 3. True or False? An independent variable represents the range value or output of a…

A: To write down that the given statement is true or false.

Q: 7. Evaluate: lim h→0 √9+h-3 h

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Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: 316. [T] The graph of a folium of Descartes with equation 2x³ + 2y³ - 9xy = 0 is given in the…

A: This question can be solved using the concept of equation of tangent and normal to the given curve…

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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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: Find the area of : y: 4/x, y-4/x2, x=6

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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: If f(x)=x²+4, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: Given query is to perform indicated function operation and simplify.