If f(x) = ex+4, find and simplify f(1 + h) – f(1) . 0 e4 (eh - 1 ) 0 ch + h () es+ h 0 (0 - 1) کین 0 5 (eh – 1)

Q: Use the graph of g in the figure to find the following values, if they exist. a. g(0) b. lim g(x)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, point (0,4)…

Q: 3. Show algebraically that lim √²- -2x = 0. 30-00

A: The given limit is limx→∞x2-2-x We have to find the limit value. Note : If multiple question given…

Q: the line 5x + 7y - 35 = 0 to vector form. The plane [x, y, z) = [-4, 3, 1] + t[1, -2, 0] + s[-2, 3,…

A: Since we are given with the multiple no.of question and our guideline is solve first question only

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Q: Consider the function f(x) = −3x − 4 and find the following: a) The average rate of change between…

A: Topic - Average rate of change we are given f(x)=-3x-4

Q: Find the first partial derivatives of the function. f(x, y) = x6 + 3xy⁹ fx(x, y) fy(x, y) - "

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Q: a cos(A) = tan(A) = Note: Triangle may not be drawn to scale. Suppose a = 119 and b = 120 and c =…

A: Given query is to find trigonometric functions.

Q: f(x+h)-f(x) By determining f(x)= limfind f (8) for the given function. h f(x)=5x² h-0 r(8)-(Simplify…

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Q: Find a unit vector in the direction in which ƒ(x, y, z) = 2x³z² + 2y³z + 250z − 2 increases most…

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Q: Which of the following represents the correct verification of the identity? π cos (0 + ) - sin ==

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Q: Replace the polar equation r=4 sec 0 with an equivalent Cartesian equation. Then identify the graph.…

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Q: Jo In each of Problems 11 through 13, determine the values of r for which the given differential…

A: 13. The given differential equation is y'''-3y''+2y'=0. We have to find the values of r such that…

Q: Find E Only E) Find the profit function in terms of x

A: Given: R(x)=-0.001x2+4xC(x)=1162.80+1.21x

Q: If f(x) = f'(x) = 4 x³ t² dt then

A: we need to find the derivative of f(x).

Q: Suppose f(x)=√x + 2. Evaluate the limit below by using algebra to simplify the difference quotient…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=8 . substitute x=8+h

Q: At the beginning of the year 1995, the population of Townsville was 3146. By the beginning of the…

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Q: Evaluate fcosh³ xdx

A: ∫ cosh3xdx

Q: 1. (a) [1 -5 1 1 1 0 00 1 0 0 0 (b) (d) 1 0 [2 0 0 1 0 0 0 0 02 0 0 1 0 01

A: INTRODUCTION By applying a single elementary row operation on another matrix, an elementary matrix…

Q: Find the angle between a diagonal of a cube and one of its edges

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. n an = 2n…

A: The answer is in step 2.

Q: Consider the function below. Use it to find the following limits. (If an answer does not exist,…

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Q: Step 1 of 4: Find lim f(x). x-4 10 -5 10 5 ✔ -10 Enable Zoom/Pan 10 X

A: Given:

Q: lim. 3cosx x—> infinity

A: Explanation of the answer is as follows

Q: 17. Consider the initial value problem y' + y = 2 cost, y(0) = -1. the coordinates of the first…

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Q: 3 f(x, y) = 7x3 - 2x2y³ + 3+4

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Q: If f(x, y) = 49 - 7x² - y², find f(1, 6) and f (1, 6). Illustrate with either hand drawn sketches or…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: If we use the quadratic formula to solve x²-5=6x what do we get? 5±√ 25+24 2 −6+√36+20 2 -6+√36-20 2…

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Q: 3) Consider the planes P₁: 2x + 3y - 4z = 1 and P₂ : x+y+z= 3.

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Q: Let g(x) be a continuous function with a domain of all real numbers. (a) If the point (-7, 12) is on…

A: g(x) be the continuous Function. Domain : Real Number

Q: Consider the curve y = x² + 3x + 4. (a) Find the slope of the secant line to the curve through the…

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Q: For the open-top box shown below, find formulas for the volume and the total amount of material (the…

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Q: Find the cross product a x b. a = t, 8, 1 t b = (t², t², 1) Verify that it is orthogonal to both a…

A: Given: a=t, 8, 1t, b=t2, t2, 1

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

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Q: Find the relative maximum and rele f(x)=x^(3)+5x^(2)-3x

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Q: Consider the following. cos(8) Find the first partial derivatives. T₁ = Te Trr Tre = Find all the…

A: The given function is;  T=e-2r cos(theta).

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

A: given  y=lnx, y=0, x=4 about the y axis formula for volume is V=∫abπ(R(x))2dx

Q: F(x) = (2x²+1)* X 3x³

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

Q: lim sin 9x sin 4x sin 4x sin 6x x-0

A: Given: limx→0sin9xsin4xsin4xsin6x

Q: Consider the equation below. 16x² + y² + 16z² - 8y - 160z + 400 = 0 Reduce the equation to one of…

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Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) between x 17 and…

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Q: Find the magnitude of the torque exerted by F on the bolt at P if |PQ| = 6 in. and |F| = 28 lb.

A: Given: PQ→=6F=28θ=45°

Q: Find a value for the constant c so that the function с if x < 8 f(x) = { x-10 6x 1 - if x ≥ 8 is…

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Q: Evaluate the limit limx→∞ −1 x

A: To evaluate the limit of the given function .

Q: 7 f(x)= (4x³-7x)

A: solving the problem by finding the derivative of the function

Q: Solve the given equation for x. (Round your answer to four decimal places.) 4.9(10x) = 4

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

Q: A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today,…

A: Given :Newton's Law of cooling -Tt=Ta+T0-Tae-ktT= body temp at tTa=Surrounding's temp

Q: Create two possible cubic inequalities that has the solution: x < -4 and <x<6.

A: Given inequalities:- x&lt;-4,12&lt;x&lt;6

Q: 2) Determine 3TT b. 23sin²2x dx

A: INTRODUCTION For any continuous function, f(x) which is defined on the closed interval, say [a,b],…

Q: Let f(x) = 36 – x² The slope of the tangent line to the graph of f(x) at the point (−6, 0) is The…

A: The given function is: f(x)=36-x2