Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: 6) 3/2 · 4x²)³/; 9x dx

A: Our Aim is to solve the integral given below:-∫9-4x252x6dx -(i)

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

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Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ; j=5

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Q: How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality? By using a…

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Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Q: Find the gradient of f(r, h) = 2ärh + ár² at (6,3). NOTE: Enter the exact answer.

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Q: ● ftans (x) sec (x) dx M

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: S dx 3 cos x-2 sinx+3

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Q: This graph corresponds to which inequality? y ≤ x + 4 y > x + 4 y < x + 4 y ≥ x…

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Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: How do you know when the system of equations is solved? None of the answers are correct When one…

A: The objective of the question is choose the correct option.

Q: c. y = (x³ + 4)√4x²+2x − 5 /2z²+5 (x+3) d. y =

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Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: why is V e3x3? and pls write the solution in a paper instead of typing digitally to understand the…

A: Let's solve integration.

Q: Given the following functions: y = For each function, sketch the curve and determine (where…

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Q: Solve the following system of equations: 2x - 3y = 21 and 5x + 4y = 18 (6,-3) (9,-1) (2,2)…

A: To solve the given system of equations.

Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: Answer the following statements true or false. 8.1 The sum of continuous functions is continuous.…

A: Here we have to state whether the statement is true or false.

Q: Solve the differential equation

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Q: (d) y = πx+π³

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Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: Solve (2y³ – x³) dx + 3xy² dy=0; y (1) = 1 O a. x² (5y³ x ³) = 4 b. ? (5y® — g - 23) x³) = 0 ○ c. x²…

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Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

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Q: Find the indicated value. f (2,3) if f(x,y) = 4x²y - 2xy³ f (2,3)= (Type (Type an integer or a…

A: fx represents the partial derivative of the function f(x,y) with respect to x. Also fx(a,b) is the…

Q: Find the absolute maximum and the absolute minimum for the function f(x)=e−x−e−5x,…

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Q: Consider the function f(t) = 3 sec²(t) - 3t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

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Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: Solve the following inequality: x + 2 > 10. x > 12 x 8 x < 12

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 2+4 cos 0…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: The Maclaurin series of g(x) = sin(x) is Test question?

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Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: Solution

Q: A formula for the relationship between weight and blood pressure in children is given by the formula…

A: Let's find rate of change of blood pressure.

Q: Using the definitions of tanh and sech in terms of the exponential function, solve for x 4 sech(3x)…

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Q: Allouette Shipping Company has a peculiar fee schedule. When determining the price to ship a…

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Q: , (a) Let f(x) = −x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A: The objective of the question is determine the equation of tangent line to the given function.

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: 1 f(x) =(√² + √2)²

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Q: Use the limit definition to find the instantaneous rate of change of f(x) = 3x^3 - 4x at x= -3

A: Question is solved.

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

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Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

A: I am attaching image so that you understand each and every step.