Find an equation of the tangent line at x = a. 2 y=x-xia=2

Q: y= (2+6 times x)^x Use Logarithmic Differentiation to find dy/dx

A: Conclusion :  dxdy​=(2+6x)x [(2+6x)6x​+log(2+6x)]Explanation:Step 1: Approach 1 ) Take both side…

Q: Find the exact length of the curve. y4 x-x+1 8 442' 1 ≤ y ≤ 3

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Q: Please answer these question using differential equation but the last question just answer thank you

A: 1st question: option C 2nd question: option D 3rd question: option B 4th question: option…

Q: Prove the followings: - 1. Vẻ - du = uva − x +aarcsin;) +C

A: To prove the following.Note: Since you have posted multiple questions, we will provide the solution…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A:

Q: For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in…

A: Given:pair of integers m and n.To find:Use the division algorithm to divide m by n.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

A: Given graph of f'(x)

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: The surface are is  2π∫03​3x31+x4​​dx=258.85Explanation:Steps and explanations are as follows:In…

Q: Question 4 Let 4x²+20x24 x²-4 f(x) = Ax- x-1 B 1 x<-2 ' -2≤ x ≤1 x1 Find A and B, if any, such that…

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Q: x e cos(x) dx Se

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Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: Determine the exact point(s) on the curve y = where the tangent line is perpendicular to the line 2x…

A: The objective of this question is to find the exact point(s) on the curve y = 2x - 1 where the…

Q: please answer this three question thank you

A: AnswersA)C)A)Explanation:Hope it helps youplease ask if you gets any doubtplease give your feedback…

Q: Help! This one question with four parts. I really need help.

A: (A) limx→3−​f(x)=0 (B) limx→3+​f(x)=0 (C) limx→3​f(x)=0 (D) The function is not defined at…

Q: Question 3 Let f(x) = 0 - {rm (4) cos x0 x = 0 " Show that f is continuous at x = 0.

A: we need to show that the function is continuous at x=0.

Q: Suppose that an is a sequence of positive numbers such that Σan converges. Let bn be an arbitrary…

A: Regardless of the sequence bn, the series ∑n=1∞​an​bn​converges. This conclusion holds because we…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: λ x²y"+2xy+(3x² + y= 0, y(-1)= y(1) = 0, (x2+1)3 with eigenvalue A, can be written as a constrained…

A: λ1​≤7π32​Explanation:To show that λ1​≤7π32​ using the trial function z(x;A)=A(1−x2), we'll use the…

Q: Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² +…

A: The determinant of the Jacobian matrix of F at the point (1,1,−1,−1) is 15, which is nonzero.…

Q: Prove that 3 is prime.

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)

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Q: lim x→0 /2x²+5x4 X

A: To find the limit of the function x2x2+5x4​​ ​​ as x approaches 0, let's simplify it first.…

Q: If f(x)=√√x²-1 and g(x) = x+1, which expression is equal to f(g(x))? + 2x (x+1)²-1 +x-1

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Q: ƒ¹ ( x ) = {} (x² + x) (x² + x) * (2x + 1), determine a possible f(x). " If fi

A: The objective of the question is to find the function f(x) given its inverse function f inverse (x)…

Q: Compute The integral problem (Calculus 2)

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Q: Solve 5 sin(2x) = 4 for the two smallest positive solutions A and B, with A <B

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Q: Let 4xyz = e². Əz Əz Use partial derivatives to calculate and მე მყ and enter your answers as…

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Q: Use the sum formulas to express the following without the summation symbol. 1- 7(n+i)(n-i) n3

A: Given:

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative  of the following.

Q: Suppose for a particular commodity, & = 0.33 and that currently 50,000 units are selling for $6…

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Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t+ 10…

A: Question No. Part (b):Given:The arc length function for a curve ,  where f is an increasing…

Q: Let f(x) = x³ - 8x² - 12x + 3. (a) Find all partition numbers of f'(x). (Enter your answers as a…

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Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Find the volume generated by revolving the area bounded by y=1/(x^3+8x^2+12x), x=3, x=9, and y = 0…

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Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: Given the following integral I(n) = (1-2)"dx. We want to ultimately show that 22n+1 (n!)2 I(n) =…

A: 1. Evaluating I(n) for:1.1. I(1)= ∫−11​(1−x2)1dx1.2.∫−11​(2−x2)2dx 2. Show I(n) can be expressed as…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A: Given marginal propensity  (in billions of dollars)

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

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Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

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Q: Find the first partial derivatives of the function. მu მr = მ მყ u = ln(x + 5y + 6:) მ:

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: 5. 3. The graph of f is given below. If g(x) = f(t) dt, find the following value. Use the provide…

A: I'm uploading images for all questions.Explanation:Ques 5-1Ques 5-b Ques 3 Last ques

Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(1a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: Determine the intervals on which the given function is concave up or down and find the point of…

A: f(x)=x(x−8x)f(x)=x2−8x3/2Using the power ruleddxxn=nxn−1

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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Q: Find the third derivative of f(x) = ebx (ebx + e³-bx), where b is a parameter, and calculate its…

A: f′′′(x)=8b3e2bxf′′′(0)=8b3   Explanation:

Q: Consider lim,-6 f(x), where f(x) = 7x+9. Find a maximum value of 6 such that: If(x) 511 <0.003 if |x…

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price,p at…

A: A company selling widgets has found that the number of items sold, x, depends uponthe price, p at…