How do I find out why the derivative function in the given graph of (the first photo) is the (second photo)?  Am I counting the bottom slope to the top slope in the photos?

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: 5. Integrate (a) [² 3x +7 dx + (b) fe' de (c) [5-13dt (Note your answer should have z in it. )

A: The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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Q: Find the vectors T, N, and B at the given point. T = N B || || r(t) = (2 cos(t), 2 sin(t), 2…

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Q: 3) Find the average value of the function y(x) = 4 sec ² x over the interval [0, π/3].

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Q: Find the first partial derivatives of the function. f(x, y) = x³ + 6xy7 fx(x, y) fy(x, y) 11

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Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: Test (4 Star A... 1. https://lkdsb.elearningont..... E https://pdsb.elearningont....…

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Q: Construct a limit evaluation problem with an answer of 1.

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Q: Show every step to solve the problem. Solve question subpart D ONLY.

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Q: IV. The dimensions of a closed rectangular box are measured as 10cm, 11cm, and 18 cm with a possible…

A: Closed rectangular box has dimension 10cm , 11 cm ,18 cm. Let , L=10cm , B=11cm , H=18cm…

Q: Determine if the vector pair are orthogonal or not. a = 6i 18j and - b = -8i + 3j

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Q: 71. 8 5 1 -dx xulz x

A: Given: ∫5∞1x2lnxdx To find: Using comparison test whether the given interval converges or not Let…

Q: 4. Determine the 75th derivative of each of the following functions. f(x)=xe b) f(x) = 3 cos2x a)

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Q: Write the following expression as a single definite integral of the form f(x) dx. [²_1(x) dx + [³1x)…

A: Given expression is ∫-22fxdx+∫25fxdx-∫-2-1fxdx

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: PRACTICE ANOTHER Solve the system of linear equations. (Enter your answers as a comma-separated…

A: x1-x2=0...............A 7x1-6x2=-1..........................B

Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: The region region bounded by the curves y=7ex,y=7e-x,x=1 Graph

Q: Use the ratio test to determine whether n=17 n+7 n! converges or diverges.

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: (A) Estimate the area under the graph of f(x) = 16 - x² from x = 0 to x = 4 using 4 approximating…

A: We have to find the area using the reimann left midpoint and right points of the rectang

Q: When x³ + kx + 1 is divided by x + 1, the remainder is-6. Find K. k= -12 x

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Q: Suppose that f(x) is differentiable function Such that f'(2) = 8 f (2) = 4, if then what is the…

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Q: Determine if Rolle's Theorem and the Mean Value Theorem is applicable on the specified interval. If…

A: Condition to apply Rolle's Theorem and Mean value Theorem 1. Function must be continuous over…

Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

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Q: Optimization 6) A rectanguiar box with an open top is to have 3 a 10m³. The length of its base is…

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Q: 3) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1, π,…

A: x=sin3t y=2t z=cos3t Point÷ -1,π,0 π=2t means t=π2

Q: Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

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Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

Q: water faucet can fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the sink…

A: Water faucet can be fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the…

Q: Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 450 - 0.09x², x…

A: For the demand function dx and demand level x, to find  the consumers' surplus. dx=450-0.09x2, x=40…

Q: Tutorial Exercise Step 1 1 Use a definite integral to find the area under the curve between the…

A: We have to find the area under the curve.

Q: Use the formula t = T(t) r(t): = r'(t) x r"(t) r(t) Ir'(t) x r"(t)|² 4t, t², to find the torsion of…

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Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: Rpup (hur +81 0=1²² x=h₁ б E I =

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Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: Consider the following. r(t) = (7t)i + (4t − 3)j + 6tk, P(6, 1, 6) (a) Find the arc length function…

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Q: Use the Integral Test to determine whether the infinite series is convergent. 8 n=1 -n² 16ne

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Q: Find the area of the parallelogram whose vertices are given below. A(0,0,0) B(4.2.6) C(8,0,6)…

A: Vertices of a parallelogram, to find its area.

Q: First find f' and then find f. f"(x) = x³ + 8x² – 3x - 9. f'(1) = 10. f(1) = -10. f'(x) = 0 f(x) =

A: The given derivative function is:f''(x)=x3+8x2-3x-9The given condtions are:f'(1)=10      and…

Q: find a unit normal vector to the surface at the indicated point

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Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

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Q: If f(x) da = 16 and ¹ Answer: fr f(x) dx = 3.1, find f(x) dx.

A: We know that the formula int_a^b f(x) dx=-int_b^a f(x) dx

Q: Consider the following vector function. r(t) = (4 sin(t), t, 4 cos(t)) (a) Find the unit tangent and…

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Q: 15. Practice similar Help me with this Find the value of the integral Determine whether the series…

A: We have, Limit equation is given .

Q: 3. Practice similar Help me with this Find the quotient and remainder using long division for The…

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Q: Find the total mass of a 1 meter rod whose linear density 17 function is p(x) kg/m for 0 ≤ x ≤ 1 (x…

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