Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

Q: Evaluate the indefinite integral 7X+17 (x+2) (x+3) dX

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Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Solve for æ in terms of k. log5 x + log5 (x + 6) = k. g₂ (x² + 1) - you might be using an incorrect…

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Q: Consider the function f(x) = 4x² 6x +4, 0≤x≤ 8. The absolute maximum of f(x) (on the given interval)…

A: To find the absolute maximum and absolute minimum on the given interval.

Q: Evaluate the limit of a. 3 b. O tan 2x-2sinx as x approaches to 0. c. Undefined d. Infinity

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 8. Convert the angle 315° into radians.

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Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

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Q: i) Find the general term (an) of the sequence ii) Calculate 2e¹,5e-2, 10e-3, 17e-4,26e-5, 37e-6, ...…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

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Q: 6. Suppose you drop a golf ball onto a hard surface from a height h. The collision with the ground…

A: Disclaimer: Since you have multiple sub parts of question, we will solve first three part for you.if…

Q: 13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3-2 Find an equation for the graph above. 5+ g(u) 4 3 2 - -2- -3-…

A: We need to find equation of given graph.

Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: Determine the equation for tangent and normal at the point with x -coordinate 1 on the curve y = 2…

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Q: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether…

A: See this solution in below

Q: Consider the following. 7|x - 21 x-2 Find the x-value (if any) at which f is not continuous. Is the…

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Q: b. B = (j³)e-j

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Q: Find the limits. f(x) = x + 4 g(x) = x² (a) (b) (c) lim_ f(x) = X-15 lim g(x) = lim_g(f(x)) =

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Q: What is the antiderative of xysin((x^2)y)?

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Q: Consider the following function. f(x)=x²9 X-9 Determine whether f(x) approaches ∞ or - as x…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer.…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: answer #2 using partial fractions

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Q: an+1 = √√42+ an, a₁ = −42

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Q: D. f(x, y, z) = 1x + 10y + 8z Vf(x,y) =i+j+k E. f(x, y, z) = 1x² +10y² + 8₂² ▼ f(x, y, z) =i+j+k

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

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Q: Given the triangle below, find the measure of angle x. Round to two decimal places. Note: picture is…

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Q: Graph the inequality. 3x+4y <-8 -10 -8 TA -6 for *** A *** 14. i. www FRA + 1-8 -10- 9 8 1632 10…

A: Put x= 0 and get y. Put y= 0 and get x.

Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: Find the work done by a person weighing 175 pounds walking exactly one revolution up a circular…

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Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Зи lim n- 2n² + 1

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Q: Consider the function f(x) = 5-7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x =…

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Q: Let f(x) = x³ + 6x² - 63x + 25. (a) Use the definition of a derivative or the derivative rules to…

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Q: Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t)…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Name the type of basic curve that the following pair of equations represents: x = 2 cos(3t), y =…

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Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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Q: Find f'(x). f(x) = (9-3x) 14 f'(x) =

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Convert the point (-√3,0. √√3) from rectangular coordinates to spherical coordinates.

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Q: Evaluate e √ √x +4-2 √√x²-16 2√x 4+4ln√√x+4-√√x−4+C B 2√x−4+2ln(√x+4-√√x-4)²+C…

A: I=∫x+4-2x2-16 dx =∫x+4-2x+4x-4 dx=∫x+4-2x+4x-4 dx Lets substitute u=x+4⇒dudx=12x+4=12u⇒2udu=dx also…

Q: If-2 is one root of x² +kx− 6 = 0, find the other root and the value

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Q: Find the linearization of f(x, y) = −x² + 2y² at the point (3,-1). Use the linearization to estimate…

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Q: Consider the following. x = 3t + 8, y = 8t + 3 (a) Sketch the curve by using the parametric…

A: Given that      x = 3t+8  , y = 8t+3

Q: Find the area under the graph of the function over the interval given. 3 )y: [1, 31

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Q: etermine the total differential of the function, f(x, y, z) = 2x³ + 5y¹ − 6z Odf = 6x² dx + 20y³dy -…

A: Please refer to the image below