Find the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√x²+33;x=4 y=0 (Type an expression using x as the variable.)

Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: Provide all answers to four (4) decimal places. Applying the Gauss-Seidel method in solving the…

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Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: 19

A: We will solve the problem

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vectors A and B such that A is parallel to 2, 1,-1, B is perpendicular to 2, 1,-1…

Q: INALTIIX Large Drop-Fro... Summary - Qui... George Floyd: '... Paraphrasing T... when did geor...…

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Q: Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 8)2 and the line…

A: This question can be solved using the concepts of area bounded by curves.

Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

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Q: z = xey + y ex

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Solve (x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: ow that lim (x,y) → (0,0) 4 3x² + y² 5y does not exist.

A: To show that limit does not exist.

Q: 6. f(In x)² dx

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Q: ƒ(x)=3x² +6x−9

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Q: Given: planes II₁ : 2x - 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

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Q: 11. Evaluate 1 (a) √x (x² +1)³dx, (b) fdx (c) fda (d) fx x+2 ev dx √x²+4x IT'

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Q: 6. Evaluate the following triple integral. SASAS. P 0 p² sino dp de dø.

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x - 1)² and the line…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

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Q: Evaluation. Determine the antiderivative for each. Show complete solution 1. S dx 5x³-3 √x3 2.…

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1       1).…

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

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Q: a.) Solve the equation z³ − 1 = 0 15 1 √3 b.) Evaluate (-+-+3) " 2 2

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

A: Here we have to find out the area between the given curve that is we have given two parabolas

Q: For the following exercises, find aj dt and direct substitution. 225. f(x, y) = ln(x + y), x=e¹, y =…

A: Given;  f(x,y)=ln(x+y), x=et, y=et.

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10

Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: Determine the center-radius Form of the equation of the sphere who diameter has endpoints at (2, -3,…

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

Q: 1. The derivative of a constant is equal to A. -1 C. 1 B. 0 D. 2 2. If ƒ(x) = −5π, then ƒ'(x) is…

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: Evaluate the double integral: 3 +9 Lo L₂ Y COS(2 (Hint: Change the order of integration to dy dx.) y…

A: The objective is to evaluate the double integral.

Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

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Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: if a 3 letter word is formed by randomly choosing 3 letters from the word PAINTED, what is the…

A: This question can be solved using the concepts of permutation and combination.

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: Consider the plane : x + 3y - 2z = 6 and the line with parametric equations l: x=4-3t, y = 2+t, z =…

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Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: Let f(x)=2-3√. Then the expression can be written in the form where A, B, and C are constants.…

A: Solved below.

Q: 1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3…

A: SOLUTION-

Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: Calculus Effect of Luxury Tax on Consumption Government economists of a developing country…

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Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Where is f(x)= -5 -6z+5 discontinuous?

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