Find the General Solution and the Particular Solution to the following differentia tion: dy dx - (sinh x)y = (3x)ecosha, g(0) = e

Q: 8 - (₁₂).- ().- (*). - (1). , = = , U4 = -9 5 -6 Given U₁ = , compute the operations listed.…

A: We will find the required dot products for the part a, b and c as following.

Q: Evaluate the radical expression and express the result in the form a + bi. 6 √-36 6 + -36

A: See the answer below

Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: Find the average value fave of the function f on the given interval f(x)=√x, [0, 16]

A: To find the average value fave of the function f on the given interval.  fx=x, 0, 16

Q: A weight of 1200 pounds is suspended from two cables as shown in the figure. What is the tension in…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: Consider the function given by x² f(x) = - 1 |x| − 1 - x² + 4x + 5 8cos(4x) + 2x - 6 if if if x 0

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Q: Find the equation of the normal line to f(x) = 2 log₂ (x) when x = 1.

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Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

Q: Find all values of t, -π/2 < t < π/2, for which the tangent line to the graph of x(t) = 4t + 3 tant,…

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Q: (x² + y²) ² y' = = 10 xy² POT PW

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Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

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Q: Find the radius of curvature of y = In(x + 1) at point (7, In(8)).

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Q: Find the nth derivative of √x (general formula) . No using double factorials and no integrals. Only…

A: To find the nth derivative of x (general formula) .

Q: Solve the equation for all complex solutions, giving exact forms in your solution set. 3x4-10x3+20x2…

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Q: Determine the x-value of all critical points for the following function. 2 X² X-7 f(x) =

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Q: [ (sect (sect + tan) dt

A: The given integral is sect+tant.

Q: Find the GS of x²y" + 2xy' - 2y = 0

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Q: Can someone help with these questions. 1293/18 2881/67 43,928/25 The directions says if there is…

A: answer the following  1293/18 2881/67 43,928/25 further step given below

Q: d) e) U₁U4 = Round your answer to 3 decimal places. V1 V3 = Round your answer to 3 decimal places.

A: Given vectors  v1=8−9v2=75v3=4−6v4=90

Q: 1) Find second order equations for which the following are general solutions. b) y(t) = C₁e²¹ + С₂e¹…

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Q: of

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Q: Write the expression in rectangular form, x + y i, and in exponential form, re i0 (-1 + i) ... and…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: For the the initial solution of the DE shown below, match your answer to the following questions: 1.…

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Q: Which one of the following integrals gives the length of the parametric curve x(t) = t², y(t) = 2t,…

A: On solving this we will get :      Option (5)  is correct

Q: If f(x) = 4x²-3x+12 and g(x)=2x³+1, then the degree of the (fog)(x) is: a. 3 O b. 5 Oc. O d. 4 O e.…

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Q: Find the area of the region that lies inside the curve whose polar equation is r = 3 sin θ and…

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Q: y = √/1+4x Part 1: Composition Express this function as a composition y = f(g(x)) of two simpler…

A: Given query is to find the derivative using chain rule.

Q: Find the differential of the function z=e-xcos(y) dz=

A: Given query is to find the differential of the expression.

Q: 2. Let f(x) be a continuous function on the interval [0, 1], and suppose 0≤ f(x) ≤ 1 for all x = [0,…

A: in this question we prove the above two results.

Q: d) e) V₁.0₁ U4 = 0₁.03= V3 Round your answer to 3 decimal places. Round your answer to 3 decimal…

A: v1→=108-4=10i^+8j^-4k^v2→=-8-6-7=-8i^-6j^-7k^v3→=-13-9=-i^+3j^-9k^v4→=-7101=-7i^+10j^+k^

Q: Determine if the differential equation (y^2 - 2xy + 6x)dx - (x^2 - 2xy + 2)dy = 0 is exact. If…

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Q: Consider the function: f(x) = √5x + 8 Recall that the definition of the derivative is: f(x + h) f(x)…

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Q: C Write as the sum and/or difference of logarithms. Express powers as factors. log, V S O log7(6√1)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the critical points for the function f(x, y) = 2x² - 4xy + 4y² − 4y

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Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: To solve: y' = xy ⇒dydx = xy ⇒dyy = xdx

Q: Find f'(− 3) if f(x) = 8 3x.

A: Given query is to find indicated derivative.

Q: 2x+1 VI x +1

A: Topic:- algebra

Q: and given x (t) 1. I = 2. I - 5. I 6. I parametrically by = 3. I = 9 = 9 4. I = 9 5² 3 = 3 r2πT 3…

A: Use arc of length formula

Q: Find the x-intercept of the tangent line at P(4, 1) to the graph of the curve defined parametrically…

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Q: Which functions is the inverse of the function f(x) O g(x) = O g(x) = 2-3x O g(x) O g(x) O g(x) = =…

A: Given query is to find the inverse of the function.

Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: 2. (Section 16.2) Consider - 2 6-y [ye² da dy -3 y²

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Q: The equation 5x2 = cy is the general solution of? A. x/2y B. y' = 2xy C. y' = y/2x D. y' = 2y/x

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Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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Q: quations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: We can solve the homogeneous differential equation .

Q: We are going to calculate the derivative of the following function using the Chain Rule (or more…

A: Given query is to find the derivative of the function using chain rule.

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: This question can be solved using the concept of application of derivatives and  integration.

Q: 1) Suppose f and g are differentiable functions. Show that (f(x)) = f'(a)g(x) = f(x)}g'(x) [g(x)]²…

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