Create an equation or problem involving the Slope of a Tangent Line that is equal to 1.

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Question #15 Derivative to find f'(x) Let f(x) = −3x² + 5x+1. Use the Limit Definition of the

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Q: 7. The surface area of a cylinder is given by the formula SA = 2лr²+2лrh, where r represents the…

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Q: Question #5 [(6x² +1+ X +=+3)dx Evaluate the following integral...

A: We need to evaluate integral.

Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modele 8t+96…

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Q: find the parametric equations for a sphere with a radius of 4 and a center at (3,-2,5)

A: According to guidelines we have to solve only first one question.

Q: A ball is thrown upward from a height of 5.2 m at an initial speed of 39 m/sec. Acceleration…

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Q: 137 137 Suppose that a = -19 and b₁ = -27. Compute the sum. 137 i=1 (5ai +27bi)

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Q: Find the area of the parallelogram with vertices P(2, 3, 2), Q(5, 5, 3), R(10, 10, 11), and S(7, 8,…

A: Given: We are given a parallelogram with vertices P(2,3,2),Q(5,5,3),R(10,10,11) and S(7,8,10). We…

Q: Let y = f(x), where f(x) = √√x + 3. Find the differential of the function. dy =

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: 7. Question 7 Find the derivatives of the following functions: a. y = √x³ c. y = sin² (x²) b. y = x…

A: (a) y=x3

Q: Question 10 (part b) - Please show work

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Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to find the valu of q such that the given equation satisfy.

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x): = Using the…

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Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: 12. The table shows values of f(t). Use the table to estimate f(t)dt. 20 30 18 11 t f(t) 0 17 10 22…

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Q: Rewrite the equation in exponential form. In (x) = n

A: We are required to: Rewrite the equation ln(x)=n in exponential form.

Q: a) Give an example of a function f : [−2, 3] → R which is not continuous at 1 but which is…

A: In both part , we will find the example of the function.

Q: Evaluate fx sin² x dx.

A: Find integration of x(sinx)^2

Q: 5 4 2п 21(2522 - 1-). X 312.5п

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Q: Find the component form and the magnitude of the vector v. initial point (−5, 9) terminal point (23,…

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Q: Performing the substitution yields the integral 2/(x²- +8) + C du syntax error. Check your variables…

A: the indefinite integral :   ∫ x6 x7+8 2 dx

Q: 1+√15 1 - √ 10

A: 1+151-10

Q: The Maclaurin series of the function f(x) = 8x² sin(10x) can be written as f(x) Cnxn C3 C4 where a…

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Q: Suppose that a curve C has implicit equation ax² + xy - 2y² + b =0, where a and b are constants and…

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Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. x2 94 56° X 29°

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Q: Evaluate fxy³dx + x²dy, where C' is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Evaluate ∮xy5dx+x2dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

Q: The graph above shows the base of an object. Compute the exact value of th that cross sections…

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Q: 2 n+n+1 3″(n+1) n=1² n, 2

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Q: The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB…

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Q: Question #19 y=2x²-3x³ Find d³ y dx³ for the following function. dx³

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Q: 6) Consider the vector function r(t) = (sin(nt), ln(-t+3), ²) a. Evaluate lim r(t) t-3- b. Find r'…

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Q: Question #16 - For the following function, list the intervals where f(x) is concave up and where it…

A: To determine the intervals where the function f(x)=3x4+2x3-12x2+5 is concave up and concave down, as…

Q: Question #6 2x³ 3x² +1 f(x)= Find the derivative for the following function....

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: -Expressing the surface area A in terms of π and r: The surface area of a right circular cylinder…

Q: 1 1. (2e²* +4y)dx+(4x + ₂)dy = 0

A: For a differential equation  ∫Mdx + ∫Ndy = 0 for differential equation to be exact ∂M∂y = ∂N∂x

Q: differentiation

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Q: What is the area bounded by y^2=4x x=1 x=4 that revovles in the y axis?

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: Question #13 Let_ƒ(x,y)=3x²y³ +2x−3y² +5. Find the following...

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Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 5

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Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 9n3+10n

Q: Consider the vector field F = (2xy³ − y sin x)i + (3x²y² + cos x)j (a) Determine whether F is…

A: F = (2xy3 - y sin x)i + (3x2y2 + cos x)j

Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

A: Given forces are F1=350N & F2=600N  We have to find resultant vector R  Let theta be the angle…

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Consider the function f(x) = x 2 − 1. Find the equation of the tangent to the graph of f(x) at x =…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: Answer the following for the function f(x)=3x² +5

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Q: Use disks, washers or shells to find the volume of the solid obtained by rotating the region bounded…

A: By using disks, washers or shells to find the volume of the solid obtained by rotating the region…

Q: component

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Q: Evaluate ſ²¹₁ (y +1) (y² + 2y)³ dy. Give your answer correct to 2 decimal places.

A: The given equation is, We have to solve this definite integral to get an answer in 2 decimal…