scalar equation of a line that goes through T(2,-5) and is perpendicular to the line 3x-6y=5

Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is…

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Q: O =^P^-^2) TAPE 2

A: Topic:- differential equations

Q: Evaluate dy/dx using implicit differentiation.

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Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

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Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

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Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

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Q: (9-x) ₁/x = (x

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Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: C. d. = cos(√x + 3) dx [x³√x² +1dx

A: We have to solve given integration.

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

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Q: K Barbara, Donna, Cindy, and Nicole ran in a relay race. Their times are listed in the chart below.…

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Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: Find the average value of f(x) = 2x3 2x² 3 3 Submit an exact answer using fractions if needed. + x -…

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Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

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Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value

A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k

Q: The equation of a line is defined by y = k*x^5.2, where k = h/b^n as shown. If b = 1.1; h= 17.1.…

A: We need to find arc length. NOTE - As per Bartleby's Guidelines we can solve one question from…

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: L 1 1 {}} 2 S S + 1 S-6

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: R is the region bounded by the functions f(x) = 2e - 1 and g(x)=x²-2. Find the area of the region…

A: R be the region bounded by the curves f(x)=2ex-1 and g(x)=x2-2 on the interval -1,1

Q: } L 1 (s? +1)(s? + 25)

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Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

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Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

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Q: 7. dx ггтV)

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Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

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Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: Use linear approximation, i.e. the tangent line, to approximate √81.3 as follows: - Let f(x) √x.…

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Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

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

Q: A particle moves along a line with a velocity v(t) = -21 +5, measured in meters per second. Find the…

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

A: We need to find concentration.

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

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Q: Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e)…

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Q: L-1 4s - 10 2 S s² + 25

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Q: a body at a temperature of 50°F is placed in an oven whose temperature is kept at 150°F. If after 10…

A: We can use differential equation or Newton law of cooling to solve the problem

Q: Which of the following is linear equation? a. 3x + 2y-z² = 0 b. sin 2x + y = 1 c. log x + 2y = 2 ww…

A: The equations are To evaluate: The linear equation.