5 - X x = 1 625 {-4} {} 125

Q: O a) 10 b) 29 Oc) 17 d) 13 Oe) 1

A: Topic:- calculus

Q: Consider the following. Function у = 5e1 - *2 (a) Find an equation of the tangent line to the graph…

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Q: D In10 In[log(x+1)] + C

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Q: Solve the integral: (A) B D In (2x² + 3x −4) ³ (4x + 3) dx integral: Sela (2x² + 3x-4 E In (2x² +…

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Q: What is the Riemann sum that represents the illustration shown? The function is f(x) = 3x + 1. 10 9…

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Q: Determine the equation of the ellipse with center (6, -6), a vertex at (13, -6), and a co-vertex at…

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Q: x+1, x < 4 Let f(x) = x-4, x ≥4 Explain why f is (or is not) continuous at x = 4. Explain why f is…

A: Topic:- calculus

Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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Q: fr. sin ax cos 3x dx

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Q: Find the derivative of the function by the limit process. f(x) - f'(x) =

A: The given function is f(x)=4x2We have to find the derivative of f(x).

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A: Solution of given question is written in below steps.

Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

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Q: The graph of f is shown. y -10 0 10 y = f(x) 20 30 40 X

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Q: 3 2 (x+2) dx (x-1)3

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Q: I didn't ask u to SOLVE< I asked what would go in the BOX

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A: To find the points at which the graph of the equation has  a vertical or horizontal tangent…

Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 1.

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Q: T Sin ³ de 3 1-cose

A: I have stated the used formulas in the solution

Q: f(x) = 2 x-6x-7 8-2

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Q: Given A B C D E 5.00 1 ∞ 1 - dx, determine all value/values ofp for which the improper integral…

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: Let E be the solid region which lies above the region in the xy-plane bounded the curves y = √x and…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + est L{f(t)}

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

Q: Find the area of the shaded region. NOTE: Enter the exact answer. A = 4 y = x² + 4 y = x x

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: What is the integrating factor for the differential equation? dy dt + 3ty = ety ?(t) =   please show…

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Q: Find the unit tangent vector T, the principal unit normal vector N, and the unit binormal vector B…

A: Consider the curve     Ct: rt =cost,sint,t (i) unit tangent vector                  The unit tangent…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: An object is moving with v(t) = 4¹ and the position X(1) = 4. What is the position of the object at…

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Q: After using Long Division then decomposition into partial fractions (without evaluating the…

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Q: Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0…

A: Here we have to find the limit in step 4.

Q: Find the equation of the line that is tangent to the graph f(x)= 3x^3-x and perpendicular to the…

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0&lt;=t&lt;1          1, t&gt;=1.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Given the graph of the following degree 4 polynomial function, find all of the zeros and their…

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Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: 9) Write an algebraic expression for the following cos(arctan 2x)

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Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: ܐ [ xdx x2 -5x+6 A. 3nx-3-2nz-2 +c B. 3ng+3+ 2nx-2 +c C._2n+ 3-3m|x-2+c D. 2n|x-3-3n-2 +c

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Q: In the following exercises, use direct substitution to show that each limit leads to the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Please answer completely. Step by step. Evaluate. S (x-4) dx 2 x²+x-6

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Q: a) Let f(x)=-3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: What is the total change O -1

A: topic:- function

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 2y + ty +…

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Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: f(a+h)-f(x) The expression h and simplify the difference quotient. Find and simplify the difference…

A: The given function is f(x)=6x2-3x+6

Q: Evaluate. (x+2) dx J (x-1)3

A: Follow the procedure given below.