Solve the following problems completely and accurately. Solving Differential Equations (1) Find the equation of the curve given the slope of its tangent line (mr) and the point P(a,b) where the curve passes through. (1.1) mTL = 2Vx, P(4,12)

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,2=1 -y+1 %3D z-1 3a 2a 3 Find the…

A: Explanation of the answer is as follows

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: 83 90 72 Find the 14th percentile, P14, from the following data 1 2 3 6 10 11 12 13 15 18 20 21| 22…

A: Here, we have n=37 data values.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F (z) = : sin(t) dt…

A: Given query is to find the derivative.

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

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Q: Question For the functionf(x) given below, evaluate lim f(xr) and lim f(x). X00 X--00 V3x + 1 -3x -…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Find the values of a, b, c, and d in the matrix equation below. [:] 10 -5 -8 -1 b. + 2 -8 -10 7 a =…

A: We will find the value of a,b,c and d of the given matrix in the following step.

Q: Find an equation of the tangent plane to the surface 3x? + 2xy – 4z2 + 2x – 3y = 0 at the point P(0,…

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Q: Work Problem 2n11 5h Consider the geometric series a) Find the first term a and the ratio r of the…

A: Given query is to find fist term,common ratio, and sum of the sequence.

Q: (-1)" Given: In(1 + x) = if x < 1. n + 1 n=0 (-1)" (n +2) Σ 4. Compute the exact value of 2n+1(n +…

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Q: Does the following series converge or diverge? 1 Σ 2+7n In n n= 1 The series diverges. The series…

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Q: Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(z) = sin² z- on the interval ,…

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Q: The hyperbola, 36x - 49, = 1764, has vertices at. (Simplify your answer. Type an exact answer, using…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Use OP at the right to find the length of DB. s0 6 cm The length of DB iscm. (Simplify your answer.…

A: Let's find.

Q: If a >0 for all n, and the series 2 1.6 a is convergent, then the series 2a is also convergent. n=1…

A: Given that an&gt;0 for all n and the series ∑n=1∞(1.6)nan is convergent.

Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as £…

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1&lt;x&lt;1

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

A: This question can be solved using the concept of matrix multiplication.

Q: y as a one-to-one function of x.

A: The given graph is:

Q: Equation is x^2+y^2 = 13, point (2,-3). Find the equation of the tangent OR normal at that point.

A: Given query is to find the equation of the tangent.

Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: x² – 25 -dx is V x2 – 25 – sec-lx+ C. The antiderivative of -

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Q: A company has a fixed monthly cost of 600 and a production cost per unit of 45, if the sale price…

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Q: Find all solutions to the equation below in the interval [0,2π)[0,2π). Give all answers as exact…

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Q: The area of a soccer field is represented by a? 12a + 32 square metres. - Find a simplified…

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Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: Solve the following differential equation: y′′−3y′−10y=0; y=1,y′=10 at x=0

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Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: dy Find . da Given: 3x?y + xy = sin (x + y). %3D dy %3D da 2 sin(z+y) cos(r+y)+3ry-ry 2ay? +3ry+2…

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Q: 300 + 900t – 90t, where t is in The traffic flow rate (cars per hour) across an intersection is r(t)…

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Q: 5 Problem # 1: Differentiate y : /2х+3 Solution: Answer: Problem # 2: Differentiate f(x) = (3x – 2)…

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Q: The Haycock formula for approximating the surface area S, in square meters (m), of a human is given…

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Q: ustify your answer. 4 4 4 4 4 3 4 5 6. 7 3 + 7 4 5 6 8 9 10 11 + M| 00

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Q: Solve triangle ABC if A = 24.7 degrees, C = 106.1 degrees and b = 34.0 cm   Show all work and…

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Q: What is the slope of the line 0 = T? (Use decimal notation. Give your answer to three decimal…

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Q: Calculate -1– 2i. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a = b =

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Q: Eualuate in tegral Só Vincy dx

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Q: 20. a = }, b= 2,b 2

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Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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Q: 1. Let p be a positive number. Express cos(x)dx as a series, if possible. If not possible, explain…

A: To solve the following problem

Q: 39+ 5 dy (5y~7)2

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