Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…

Q: 5) ftan5 x sec^x dx = tan6x 6 a) b) tan x 8 tan'x 7 + + tan 5x 5 + + c + c sec7x secx c) 7 5 d) None…

A: To evaluate the following integral.∫tan5x sec4x dx

Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index…

A: we know that  numretor and denomintor are the sum of consecutive numbers given…

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: Use area to evaluate the integral 7x • ! 0 dx = dx, b>0. ...

A: NOTE: Refresh your page if you can't see any equations. . the given function is  which is the…

Q: (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

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Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

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Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

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Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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Q: A sequence is defined recursively by do = -2, d₁ = 16, and dn = 4dn-2 for n ≥ 2. Use the…

A: Given:- dn=4dn-2 ,n≥2

Q: assume that Dr. Kim decides to purchase a car which is selling for $55,000 today. She needs to make…

A: Given query is to find monthly payment.

Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

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

Q: Find the exact value of cot-¹(-3) O O O O TU 6 0 H|6 TU 픔

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Q: 1. Use trigonometric substitution to evaluate the integral √9-x

A: We need to solve integral.

Q: -8 2 So Se dy dx

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Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: Write the sum without sigma notation. Then evaluate. 3 k=1 (-1)+4 cos Write the sum without sigma…

A: Answer is in step 2.

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: Compare dy and Ay for y = 4x²-3 at x = 2 with Ax = dx = 0.08 Give your answers to four decimal plac…

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Q: for v= -1/2 cos (2x) where is -1/2 coming from? In the final answer, where does 1/4 come from?

A: Solution ⇒    Given function  ∫udv=∫x×sin⁡(2x)    here  u=xanddv=sin⁡(2x)…

Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤ x…

A: I have appended the formula used in the solution part

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: X3 √1+x² dx

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: L {√et+7}= ea s+b

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Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: Find the quadratic function f(x) = ax² +bx+c that goes through (3,0) and has a local maximum at…

A: Given that a quadretic function f(x)=ax2+bx+c that goes thorugh (3,0) and has a local maximum at…

Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: rivatives · [²32²³ + 1 dr = es. Show all work 14.

A: Given query is to find the integral.

Q: 8) Let 1=₁dx, then: a) I converges to b) I converges to 12 c) / diverges d) None of the above

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Q: Let f(x) and g(x) be two functions that we know very little about. In fact, all we know is that…

A: Let fx and gx be two functions that we know very little about. In fact, all we know is that ∫12fx…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

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Q: 18) The graph of f(x) is shown. fox A) I only 4 B) 1:4 f¹=0 at X = ? c) 1; 4; 5: D) 143536

A: As per guideline only one question is allowed to solve if multiple question is asked in single…