A:-Find parametric equations for the lines, the line through (4, 7, 1) perpendicular to the vectors ū=i+3k+j and = 4j+6i+8k.

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: [5] The graphs of f(x) (in red) and f'(x) (in blue) are shown. Determine.... 1. [4.1, 4.2, and 4.3]…

A: Let's solve.

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

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

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: 21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

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Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: The mean value theorem states the following: If f(x) is continuous on the closed interval [a,b] and…

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

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Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How…

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Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: Find the general solution of the differential equation. dy dx y=0 -7y

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Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: and and the following table: to = f(to) = A. If we use n = 4 subdivisions, fill in the values: At =…

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Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Since, you have posted question with multiparts. As per guidelines, we"ll solve only first three…

Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph…

A: See this solution in below.

Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: Find the product of 1 - 2i and its conjugate. (Recall a + bi and a The answer is - bi are complex…

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Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: Consider an object moving along a line with the following velocity and initial position. Assume time…

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Q: Find the limit of the following. Use L'Hôpital's rule, if applicable. Use - ∞ and ∞ when…

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: We have to check whether limit exists or not  And if exists then what is the value of the limit

Q: uation for the polynomial graphed below. You can leave the function in factored form 5+ 4 3 + رما 2+…

A: See the answer below

Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: A wooden column has the form of a regular hexagon prism. Its base edge is 1 ft. and its height is…

A: Concept: Hexagonal prism: A prism with a hexagonal base and top is known as a hexagonal prism. There…

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

Q: Find the vertical asymptotes of the function. y = 2x² +1 3x-2x²

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Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x/4 + 4  and g(x) = −2x/3 − 4 The region R in interval of [1, 4]

Q: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

A: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: Double-angle Formulas (d) sin 20 = 2 sin cos 0 (e) cos 20 (f) tan 20 = cos²0-sin² 0 = 1-2 sin² 0 = 2…

A: In this question we have to prove the following Trigonometry to LHS equal to RHS. NOTE: As per our…

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function 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: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

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Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the…

A: In this question we have to find the dimension which use the least amount of fencing.

Q: [(x+1)e(x²+2x dx

A: The given integral,         ∫x+1ex2+2xdx

Q: Let R be the region bounded by a = y² and x = y + 2. Find the volume of the solid generated when R…

A: The given curves are: x=y2and x=y+2 Now find the point of intersection between the given curves.…

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: The first step in computing the area of regions using the limit definition is to write the given as…

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Q: For the following system: a) Determine how, if at all, the planes intersect. [2T] b) If they do,…

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Q: x = −1+5t y = 3-s-2t z= −2+s

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Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6