If the equation of the tangent line to f(x) at the point a=1 is y=7-2x, what is f'(1)?

Q: Let f(x) = 3√x. Use the definition of the derivative (given below) to calculate f'(x). Be sure you…

A: Given f( x ) = 3xf'( x ) = limh→0f( x + h ) - f( x )h

Q: 5. Sketch the graphs of the curves y = sinh x, y = cosh x, x = 0 and the line x = In 2. Shade the…

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Q: Solve the given differential equation by separation of variables. = e³x + 5y dy dx

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Q: Is the following objective function valid for a linear programming formulation? Maximize 3X + 5Y +…

A: Given:   Maximize: 3X + 5Y + 2Z³

Q: Find the derivative of each of the following functions. You're graded on your process as well as…

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Q: 6. List all critical points of T(0) = tan² 0 — 2√2 sec 0 for 0 - п moz) (7 ) (7.an). in 10, u п 3п…

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Q: Strontium-90 has a half-life of 28 days. Suppose a sample has an initial mass of 75 mg. a) Find an…

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Q: a tank need to be built inside an existing dike with a capacity of 175,000 gallons. The existing…

A: Given: Tank 1: diameter= 15 feet, height= 12 feet  Tank 2: diameter= 20 feet, height= 40 feet  Hike…

Q: Calculate the limit. If the limit does not exist for any reason type DNE. 10 -10 X 5 lim x5 1 I

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Q: Consider the following differential equation. dy dx = = √xy Let f(x, y) = √√xy. Find the derivative…

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Q: . Find the absolute min and absolute max of h(s) = 2s³ + 3s² – 12s for −3 < s < 2.

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Q: b) lim h(x) x--1+ d) h(-1) f) lim h(x) x-3+ h) h(3)

A: We have to solve the limit with the help of given graph.

Q: Given f(x, y) = 6x² + 3x²y³ + 4y5, find fz(x, y) = fy(x, y) = frz(x, y) = fxy(x, y) =

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: In a well known story the inventor of the game of chess was asked by his well pleased King what…

A: Given that f(1)=1,f(2)=1+2=3, f(3)=1+2+4=7

Q: Calculate the center of mass for the following collection of point masses on the real number line. 3…

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Q: y(x) is the solution of the differential equation When x = 0, y = 1. dy dx = 8xy.

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Q: point (x₂. x)

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Q: Given the function g(x) = −13(x − 2)5(x + 1)˚(x − 4), its roots are and their multiplicities are

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Q: Click and drag the steps on the left to their corresponding step number on the right to prove the…

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Q: Find the general solution of the given differential equation. y' = 4y + x² + 9 y(x) Give the largest…

A: Given

Q: 1. Starfleet intelligence has recently learned of a new Borg vessel that can change its shape…

A: Given :   The 1000 has ome liminitarion namely it is always a shape of box and the volume is always…

Q: an = 256/2 4²n Determine: (a) whether an is convergent. 1 n=1 (b) whether {a} is convergent. If…

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Q: ind the linear approximation of the function f(x, y, z)=√√√x² + y² + z² at (6, 9, 2) and use it to…

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Q: ose the The reflection of the graph of y = f(x) across the x-axis Find a on the graph of the ven fun

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Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: Find an equation of the tangent line to the graph of the function at the given point. 1)2 f(x) = ) =…

A: Please see the below picture for detailed solution.

Q: Calculate, to four decimal places, the first ten terms of the sequence. - (-³/-)" an = 1 + n 1 2 3 4…

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Q: Find the tangent line to f(x) = 2x² + 3x + 4 at x=5 in the form y = mx + b m = b =

A: We have to find the equation of tangent at point x=5.

Q: Find all the local maxima, local minima, and saddle points of the function. - 4x² - 4xy + 8x f(x,y)…

A: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -4x² - 4xy + 8x

Q: ob regrot el algo Demonstrate Rolle's Theorem using f(x) = x sin x on the interval [0,]

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Q: Consider the following equation of a quadric surface. y X + + 81 81 a. Find the intercepts with the…

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Q: please show full calculations

A: Here is the solution

Q: uppose that m1 3, m2 5, and m3 1 are roots of multiplicity one, two and three, respectively, of an…

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Q: Evaluate the integral using integration by parts. S 5xe⁹x dx

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Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: B₂ 2) What are all values of p for which the infinite series n' an nºtl (A) P> 1 n 4²+1 = (1+²)…

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Q: Evaluate the indefinite integral X-5x²+6x²-18 x²-3x² JX

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Q: Find the exact length of the curve. y = 3x3/2, 0≤x≤4

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Q: do you know how to solve question 10 and 11?

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Q: Find slope of secant line from points [2,-10] and [5,-8]

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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). F"(x) = Find f"(-7) and f"(3). F"(-7) f"(3) =…

A: Given query is to find indicated derivative and the point where it's concave up and down.

Q: Evaluate the iterated integral. 1 y [² [²x² 0 0 xey³ dx dy

A: Integration

Q: Use a graphing utility to evaluate the logarithm by the methods given below. (Round your answers to…

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Q: Mr. Wilson , Ms. Gallery , and Ms. Stenhouse have a combined total of 44 years of teaching…

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Q: Give the limit as x approaches 2 of f(x). If the limit does not exist type DNE. f(x) = √x +3 3x+4…

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Q: ✓ Compute the gradient of the following function and evaluate it at the given point P. 2 2 g(x,y) =…

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Q: f(x)= 3x² -2, find f '(-1) O none of these answers O-12 O O-8 O-6

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Q: 1 X√ 16x² - 3 dx

A: Use substitution method   Let u =1/x .

Q: 5. √3 3 1 (x - 2)³/² dx

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