Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,-1) -1 a y=

Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: Find the area of region bounded by the graphs of the equations. a. X b. y = x + sin x y + 3 2 1+ -R…

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Q: A B Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv= dx, the integral can be written…

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Q: d'y Given: y = ax + bx³ + cx² + dx + e, where a, b, c, d, e are constant, find dx5

A: Topic:- derivatives

Q: -2√4x²+k

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Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

Q: quotient (Express numbers in exact form. Use symbolic notation and fractions where needed.)…

A: Given query is to find the derivative of the expression.

Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: Find all the values of x such that the given series would converge. ∞ 7¹ (x-3)n n+ 3 n=1 Answer:

A: Solution in step 2

Q: 1 x√x²-2x =dx : √x²-2x x =+c C

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Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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Q: The graph of f' (not f) is given below. At which of the marked values of is A. f(x) greatest? x = B.…

A: Given :  the graph of f '

Q: 13. How many times will you perform integration by parts to evaluate sin(Inx) dx? A. 1 B. 2 C. 3 D.…

A: Let's find.

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: dx If ff √7²-²²²2-4 x² - 2x - 4 integrand is? (a) sece 1 (c) CSC 0 √5 is solved by trigonometric…

A: Solved below

Q: B C 1 x2-9 Consider S +3 - dx. Using trigonometric substitution, what is the integral form in terms…

A: Given: I=∫x2-9x3dx   ...1   As we know that the trigonometric identities; (1). tanθ=sinθcosθ (2).…

Q: Calculate the first, second, and third derivatives of 9 y(x) = 48 + x (Use symbolic notation and…

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Q: dx 1-x² -2

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: 1. S-10 sin 5x dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5 [x²² sec (2) com ³ (2) abr dx 7 2tan can ²2 ( 1 ) [7tan² ( 1 ) +1 + C (Α 77 11 7 2x + (-) == ² (7)…

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Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

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Q: 1. f (5x¹8x³ 2. f (4x + 2) de +6x² - 4x + 7) dx

A: Topic:- integration

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

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Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

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Q: √√√x²-9 Consider x³ what is the integral form in terms of? 1 A Scos²e de B Scos²e de Ⓒ-S sin²e de C)…

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Q: B 0 Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written…

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Q: y=x√1 + x²

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Q: Question 8 3 (2x+4)³-8 } is

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Q: 10. A. B. C. D. Consider ·S -9 +3 what is the integral form in terms of ? sin ²0 de Scos²e de sin²e…

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Q: 22-12x To solve S; x²(3x²-10x-8) form of the partial fractions for this integral? A(2x) + B C D (A)…

A: ∫22-12xx23x2-10x-8dx

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

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

Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: S 1 x√x²-4x-1 =dx = -Arcsin x √5

A: Topic:- integration

Q: Logarithms (a) Expand the logarithm: In () (b) Solve the logarithm equation for x: log(x) + log(x +…

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Q: Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

Q: A function f(x) is said to be continuous at x = c if the following three conditions are satisfied:…

A: Solution is here

Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

Q: 5) 5) g(x, y) = x²y + cos(y) + y sin(x) r(x, y) = ln(x + y)

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