Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I 1 −2 3 4 5 6 7 8 4 9 X 섭

Q: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

Q: 1. (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X₂+2X₁ = 13 (b)…

A: Here we have to write the equations in matrix form and then we have to do matrix multiplication.

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

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Q: dh dth-19 1.4324 Incorrect Incorrect m/min m/min

A: Follow the procedure given below.

Q: Find the integral of the following indefinite integral equations: Jx dx / (5 + 9x4) Jx dx/v(16-9x4

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Q: 8. Let R be the region bounded by y = √25-2² and y = 3. Find the volume of the solid generated when…

A: I have stated the used formula in the solution.

Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Consider the following functions. f₁(x) = x₁ F₂(x) = x², f3(x) = 3x - 7x² g(x) = c₁f₁(x) + C₂f₂(x) +…

A: To find whether given functions are linearly dependent or independent.

Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x -…

A: answer is in next step.

Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

A: Volume is just the amount of space contained within a 3-dimensional object.

Q: e Transform of f(t) = sin²t By Rule.

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: n 1: Given the function f(x) (b) find fl 1) ( = : 3x² − x, then (a) find the derivative function…

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Q: Given that F(x) = a) F'(x) bl 5'(4) 2 1 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find

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Q: Evaluate the following definite integrals using special techniques for integration: (x³) dx /(x²+1)…

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

Q: Calculate the future value of end- of-month payments of $500 made for 4 years into an investment…

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Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: The following information is given. f(3) = 5, f(5)= 3, 11. (a) Find H'(3) if H(x) = g(f(x)). 11. (b)…

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Q: CHECKPOINT 1.2 Find the sum of the values of 4 + 3i for i = 1, 2,..., 100.

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Q: 8. Solve the ff DE y" -9y = 0 y = c₁e³x + c₂e-3x y = c₁ cos 3x + c₂ sin 3x y = ³x (c₁ cos 3x + c₂…

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Q: If x² + x = 1 Find 8 + 5* x+1

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Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given that,

Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

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

Q: Write the partial fraction decomposition of Do not determine the numerical of the coefficients. x2…

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Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

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Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: - If u = 4j – 2k and v = 27 − j + 7k, find || − 3ủ + 5v||. Select one: O 2√230 O 3√373 O 2√373 O…

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Q: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

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Q: Evaluate the following antiderivatives. S 4x dx 4e e8x +4

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Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Q1.B. if k-1 is an eigen value of (₁2). find one corresponding eigen vector?

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Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

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Q: Solve the initial-value problem. x(t) = x" + 3x' + 2x = 1 + t², x(0) = 0, x'(0) = 2

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Q: CHECKPOINT 1.10 Find the total area between the function f(x) = 2x and the x-axis over the interval…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: 1. If f is a function, then limf(x, y) = f(2,5). (z,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0)…

A: Answer 1. False

Q: D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y…

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Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

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Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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