5x 8x Sketch the region enclosed by y = e³, y = e³, and x = 1. Find the area of the region. Give the exact answer.

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x + 95 and the…

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Q: Evaluate the integral. ['w² w² In(w) dw

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Q: If f(x) = (3x+1ifx -1 A B f(2)=7 f(-1) = -3 f(2)=-9 f(-1) = -3 f(2)= -9 ; find f(2) and f(-1)

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Q: Calculate the line integral F F. dr, where F = (3z — 1, -y — 2, 2x) and C is the boundary of a…

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Q: TA 10 Ay 10² X TO

A: Graph of the function is given, we have to find the value of x such that fx=0.

Q: O-0.8 -0.2 0.5 O 1.504 Use the table of values to find the linearization of h(0.6) based on the…

A: Explanation of the answer is as follows

Q: 9. (1+ sin 0) de

A: To evaluate the given integral

Q: 15. Which of the following is a point at which the tangent to y = (x − 2)²(x + 3) is horizontal?…

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Q: The solution of the D.E. xdy - ydx = x² + y²dx is 2 a. y-√√x² + y² = cx² O (a). c. y+√√x² + y² + cx²…

A: Given: xdy-ydx=x2+y2dx

Q: Q6. How many arbitrary constant in a particular solution of a fourth order differential equation?…

A: It is asked about particular solution.

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A: Let's solve vector value function and integral.

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Q: sin(4x) (b) lim 2-0 tan(x)

A: Given limx→0sin4xtanx apply  L'Hospital rule limx→0cos4x4sec2xapply limit cos(4×0)4sec2(0)=141…

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A: We have to choose the correct option from the given options according to the given information

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Q: 6. Define h(r) = for all r. Prove that the function h: R→ R satisfies the € - 6 criterion on R.

A: In this question, we want to prove that the given function satisfy the given criteria on R.

Q: luate the integral. [² ( 3 + 1 0 ² - 1 0²³) OU du

A: Given query is to find the integral.

Q: Which of the following differential equations is solvable by the transformation y=vx, where v is a…

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Q: Suppose that C = f(x, t) = 22te-(6-2)t represents the concentration (in mg/liter) of a drug in the…

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Q: 3) T Quadrant Reference Angle Sin()= 3

A: given  θ=4π30  to 90 degree-  1 quadrant90 to 180 degree - 2 quadrant 180 to 270 degree - 3 quadrant…

Q: If OHaganBooks.com were to give away its latest best seller, A River Burns through It, the demand q…

A: NOTE: Refresh your page if you can't see any equations. . the marginal demand function is given by…

Q: A ball is thrown upward from a height of 2 m at an initial speed of 40 m/s. Acceleration resulting…

A: Let's find velocity and height function.

Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: Example 4. A man is walking along a straight path at a speed of 3 ft. A S searchlight is located on…

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: If the parabola opens upward then the equation of the parabola is         x2 = 4ay

Q: Find the indicated partial derivatives of: af ?х af ду || || f(x, y) = -9y = xye

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Q: 8. Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: NOTE: Refresh your page if you can't see any equations. .

Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

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Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: Let F(t) = (vt - 5₁: ³/t-5, 3e¹, 13 S." r(t)dt = ( 3 ³4). E Evaluate the definite integral. t-4

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Q: Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: (4) Determine whether the series converges conditionally, absolutely or diverges. (a) (b) IMBIMB n=1…

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Q: Determine whether the series converges. Σke-k² 8 k=1 The series

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Q: The D.E. of the cubics cy² = x²(x − a) with “a” held fixed is a. y(3x - 2a) = 2x (x -a)y' (a). c.…

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Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

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Q: By taking the derivative of the first equation with respect to b, show that the second equation is…

A: Given: ∫-∞∞e-bx2dx=πbWe need to show: ∫-∞∞x2e-bx2dx=12πb3

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A: Let's evaluate the given integral.

Q: Find all solutions of the equation in the interval [0, 2). cos =5/3 If there is more than one…

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

Q: 1. Find the slope of the tangent line to the graph r = 4 - cos 0 when 0 = . You may use the dy ƒ'(0)…

A: given curve is  r=4-cosθ then we have to find slope of tangent line to curve at point θ=π4 now ,…

Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

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Q: dy 23. If y=f(x² - 2x + 7) and ƒ (10) = 2, determine at x = 3. Show your work. 2T dx a. 2 b. 6 C. 8…

A: Given:         y=fx2-2x+7   and  f'10=2 Then dydx at x=3 is:      y=fx2-2x+7 differentiating with…

Q: 11 = 2 A 1 as the sum of a vectory in W and a vector z in W+. 2 and 1₂ = a -13]. b , find a, b, and…

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Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: Find dy/dx with implicit differentiation

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Q: Given the following graphs, find the volume of the solid of revolution of the shaded region. Rotate…

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Q: 9 -9 0 √√81-x2 dy dx

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Q: 18. Let g(t) = log₂ (At+32) + B. (a) Find the value of A so that g(t) has a vertical asymptote of t…

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Q: 4) -- 6 Quadrant Reference Angle Tan(-) =

A: Reference angle is the smallest possible angle between the x-axis and the terminal side.

Q: Determine the largest open intervals of the domain over which the function is A. Increasing B.…

A: From the graph  function is not increasing anywhere . Decreasing (-∞ , -3 ) ∪ ( 4 , ∞ ) Constant on…