f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

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A: We have to find maximum directional derivative.

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

A: The given differential equation is: D3-7D+6y=0 So, the auxiliary equation is: m3-7m+6=0

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: 3. If water bottles are geometrically similar, how much more water will a bottle that is 50 cm tall…

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Q: A chemical reaction produces hydrogen so that at time t (in seconds) the total volume of hydrogren…

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Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: 17) f(x) = 0.2x +0.3x2 - 0.5x +10; interval [-4, -1]; 3 subintervals C) 30.0 %3D A)60 B) 34.0

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Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108…

A: Topic: calculus

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A: My answer is not matching with given options but the solution is absolutely correct according to the…

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

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Q: 6x + 2y = 3 elect the correct choice below and, if necessary, fill in any answer boxes within your…

A: Topic:- geometry

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = xy…

A: We have to find the minimum and maximum value of the given function.

Q: Findl the value of s hux? + Hx t 5 dx

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Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

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Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: Given the graph of f, determine the signs of f(a), f'(a), and f"(a). + + + a b d. /f(x) f(a) is […

A: Given the graph. Determine the sign of f(a), f'(a) and f"(a).

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: Suppose that the displacement of a particle at timet in seconds is given by s(t) = + 5t2. Which of…

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Q: The correct choice to draw lines from point (160,120) to point (160,250) is 40,250 160,250 260,250…

A: Given problem:-

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: A passenger in an airplane at an altitude of a = 40 the plane. The angles of depression to the towns…

A: answer is in next step

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: Write each of the other trigonometric functions of e in terms of cos(@). (Enter your answers as…

A: We can solve this as follows:

Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

A:

Q: is no solution for p

A: D.

Q: Evoluate the limit of (1-cosx) (x²) as x pproaches 0.

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Q: An airplane flies east for 200 miles before turning 600 south and flying for 100 miles. What are the…

A: Solved below.

Q: Which of the following triple integrals evaluates the volume of the ssolid that lies above the…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 3,…

A: Let's find.

Q: S 2æe3= dx ,3z 9.

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Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: Write the system of equations corresponding to the augmented matrix. Then perform the row operations…

A: This question can be solved using the concept of augmented matrix.

Q: 2n + tan (103 n) ) n=1 161 n + e 20 n 2n + tan (103 n) The sequence is n=1 O divergent as its limit…

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: This question can be solved using the concept of graph of derivatives.

Q: Find the center. transverse axis. vertices. foci. and asymptotes. Graph the equation. What is the…

A: To find the center, transverse axis, vertices, foci, and asymptotes. To grapg the…

Q: 7x +4 1+1 if I1 1. Evaluate f(-3) (A) –17 (C) 11 (B) 10 (D) undefined 2. Evaluate f – 2() (A) –10…

A: Topic:- function

Q: 3. Tell whether the rectangular prism has plane symmetry, symmetry about an axis, or neither.…

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Q: ĐUseThe Runge-Kutta Method SoNe thes より x(itメ), y0)=3 hこo.て y(0)=3,h20.2

A: Given y′=x⋅(1+(x3)⋅y),y(0)=3,h=0.2

Q: Calculate the test-statistic, t with the following information. ni 20, ãi 2.37, s1 0.3 %3D n2 = 30,…

A: We have to find the test statistics.

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 1 + (-9) +…

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Q: 4) What is x to the power of -6?

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Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

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Q: 1 - x dx. Evaluate: e + x

A: ∫1-xex+xdx=-∫x-1ex+xdx                     =-∫ex+x-1-exex+xdx                     =-∫1-1+exex+xdx…

Q: Evaluate fE in two ways: using partial fractions and using a trigonometric substitution." Reconcile…

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